Record 18 verified HPC batch manifests

manifests/batches/mathlib/000881.json

@@ -0,0 +1,659 @@
+{
+  "format": "leangpt-parquet-v2",
+  "batch": "mathlib/000881",
+  "batch_fingerprint": "ba1ba9f572ef132f7d0f43c4b4fc1c11ec8f89e3210576652ee89f6670c04685",
+  "evidence": {
+    "batch_fingerprint": "ba1ba9f572ef132f7d0f43c4b4fc1c11ec8f89e3210576652ee89f6670c04685",
+    "contamination_matches": [],
+    "failures": [
+      {
+        "error": "no internal trace for tactic 'norm_num'",
+        "full_name": "Real.exp_neg_one_gt_d9",
+        "id": "Real.exp_neg_one_gt_d9",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            48,
+            13
+          ],
+          "file_path": "Mathlib/Data/Complex/ExponentialBounds.lean",
+          "full_name": "Real.exp_neg_one_gt_d9",
+          "start": [
+            44,
+            1
+          ],
+          "traced_tactics": [
+            {
+              "annotated_tactic": [
+                "\"rw [<a>exp_neg<\\/a>, <a>lt_inv<\\/a> _ (<a>exp_pos<\\/a> _)]\"",
+                "[{\"full_name\":\"Real.exp_neg\",\"def_path\":\"Mathlib\\/Data\\/Complex\\/Exponential.lean\",\"def_pos\":[862,16],\"def_end_pos\":[862,23]},{\"full_name\":\"lt_inv\",\"def_path\":\"Mathlib\\/Algebra\\/Order\\/Field\\/Basic.lean\",\"def_pos\":[223,9],\"def_end_pos\":[223,15]},{\"full_name\":\"Real.exp_pos\",\"def_path\":\"Mathlib\\/Data\\/Complex\\/Exponential.lean\",\"def_pos\":[1197,9],\"def_end_pos\":[1197,16]}]"
+              ],
+              "state_after": "\u22a2 rexp 1 < 0.36787944116\u207b\u00b9\n\n\n\u22a2 0 < 0.36787944116",
+              "state_before": "\u22a2 0.36787944116 < rexp (-1)",
+              "tactic": "rw [exp_neg, lt_inv _ (exp_pos _)]"
+            },
+            {
+              "annotated_tactic": [
+                "\"refine <a>lt_of_le_of_lt<\\/a> (<a>sub_le_iff_le_add<\\/a>.1 (<a>abs_sub_le_iff<\\/a>.1 <a>exp_one_near_10<\\/a>).1) ?_\"",
+                "[{\"full_name\":\"lt_of_le_of_lt\",\"def_path\":\"Mathlib\\/Init\\/Order\\/Defs.lean\",\"def_pos\":[122,9],\"def_end_pos\":[122,23]},{\"full_name\":\"sub_le_iff_le_add\",\"def_path\":\"Mathlib\\/Algebra\\/Order\\/Group\\/Defs.lean\",\"def_pos\":[750,3],\"def_end_pos\":[750,14]},{\"full_name\":\"abs_sub_le_iff\",\"def_path\":\"Mathlib\\/Algebra\\/Order\\/Group\\/Abs.lean\",\"def_pos\":[429,9],\"def_end_pos\":[429,23]},{\"full_name\":\"Real.exp_one_near_10\",\"def_path\":\"Mathlib\\/Data\\/Complex\\/ExponentialBounds.lean\",\"def_pos\":[20,9],\"def_end_pos\":[20,24]}]"
+              ],
+              "state_after": "\u22a2 1 / 10 ^ 10 + 2244083 / 825552 < 0.36787944116\u207b\u00b9",
+              "state_before": "\u22a2 rexp 1 < 0.36787944116\u207b\u00b9",
+              "tactic": "refine lt_of_le_of_lt (sub_le_iff_le_add.1 (abs_sub_le_iff.1 exp_one_near_10).1) ?_"
+            },
+            {
+              "annotated_tactic": [
+                "\"norm_num\"",
+                "[]"
+              ],
+              "state_after": "no goals",
+              "state_before": "\u22a2 1 / 10 ^ 10 + 2244083 / 825552 < 0.36787944116\u207b\u00b9",
+              "tactic": "norm_num"
+            },
+            {
+              "annotated_tactic": [
+                "\"norm_num\"",
+                "[]"
+              ],
+              "state_after": "no goals",
+              "state_before": "\u22a2 0 < 0.36787944116",
+              "tactic": "norm_num"
+            }
+          ],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Complex/ExponentialBounds.lean"
+      },
+      {
+        "error": "no internal trace for tactic 'norm_num'",
+        "full_name": "Real.exp_neg_one_lt_d9",
+        "id": "Real.exp_neg_one_lt_d9",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            55,
+            13
+          ],
+          "file_path": "Mathlib/Data/Complex/ExponentialBounds.lean",
+          "full_name": "Real.exp_neg_one_lt_d9",
+          "start": [
+            51,
+            1
+          ],
+          "traced_tactics": [
+            {
+              "annotated_tactic": [
+                "\"rw [<a>exp_neg<\\/a>, <a>inv_lt<\\/a> (<a>exp_pos<\\/a> _)]\"",
+                "[{\"full_name\":\"Real.exp_neg\",\"def_path\":\"Mathlib\\/Data\\/Complex\\/Exponential.lean\",\"def_pos\":[862,16],\"def_end_pos\":[862,23]},{\"full_name\":\"inv_lt\",\"def_path\":\"Mathlib\\/Algebra\\/Order\\/Field\\/Basic.lean\",\"def_pos\":[215,9],\"def_end_pos\":[215,15]},{\"full_name\":\"Real.exp_pos\",\"def_path\":\"Mathlib\\/Data\\/Complex\\/Exponential.lean\",\"def_pos\":[1197,9],\"def_end_pos\":[1197,16]}]"
+              ],
+              "state_after": "\u22a2 0.3678794412\u207b\u00b9 < rexp 1\n\n\n\u22a2 0 < 0.3678794412",
+              "state_before": "\u22a2 rexp (-1) < 0.3678794412",
+              "tactic": "rw [exp_neg, inv_lt (exp_pos _)]"
+            },
+            {
+              "annotated_tactic": [
+                "\"refine <a>lt_of_lt_of_le<\\/a> ?_ (<a>sub_le_comm<\\/a>.1 (<a>abs_sub_le_iff<\\/a>.1 <a>exp_one_near_10<\\/a>).2)\"",
+                "[{\"full_name\":\"lt_of_lt_of_le\",\"def_path\":\"Mathlib\\/Init\\/Order\\/Defs.lean\",\"def_pos\":[115,9],\"def_end_pos\":[115,23]},{\"full_name\":\"sub_le_comm\",\"def_path\":\"Mathlib\\/Algebra\\/Order\\/Group\\/Defs.lean\",\"def_pos\":[835,3],\"def_end_pos\":[835,14]},{\"full_name\":\"abs_sub_le_iff\",\"def_path\":\"Mathlib\\/Algebra\\/Order\\/Group\\/Abs.lean\",\"def_pos\":[429,9],\"def_end_pos\":[429,23]},{\"full_name\":\"Real.exp_one_near_10\",\"def_path\":\"Mathlib\\/Data\\/Complex\\/ExponentialBounds.lean\",\"def_pos\":[20,9],\"def_end_pos\":[20,24]}]"
+              ],
+              "state_after": "\u22a2 0.3678794412\u207b\u00b9 < 2244083 / 825552 - 1 / 10 ^ 10",
+              "state_before": "\u22a2 0.3678794412\u207b\u00b9 < rexp 1",
+              "tactic": "refine lt_of_lt_of_le ?_ (sub_le_comm.1 (abs_sub_le_iff.1 exp_one_near_10).2)"
+            },
+            {
+              "annotated_tactic": [
+                "\"norm_num\"",
+                "[]"
+              ],
+              "state_after": "no goals",
+              "state_before": "\u22a2 0.3678794412\u207b\u00b9 < 2244083 / 825552 - 1 / 10 ^ 10",
+              "tactic": "norm_num"
+            },
+            {
+              "annotated_tactic": [
+                "\"norm_num\"",
+                "[]"
+              ],
+              "state_after": "no goals",
+              "state_before": "\u22a2 0 < 0.3678794412",
+              "tactic": "norm_num"
+            }
+          ],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Complex/ExponentialBounds.lean"
+      },
+      {
+        "error": "no internal trace for tactic \"refine exp_approx_end' _ (by norm_num1; rfl) _ (by norm_cast) (by simp) ?_\"",
+        "full_name": "Real.exp_one_near_10",
+        "id": "Real.exp_one_near_10",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            25,
+            48
+          ],
+          "file_path": "Mathlib/Data/Complex/ExponentialBounds.lean",
+          "full_name": "Real.exp_one_near_10",
+          "start": [
+            20,
+            1
+          ],
+          "traced_tactics": [
+            {
+              "annotated_tactic": [
+                "\"apply <a>exp_approx_start<\\/a>\"",
+                "[{\"full_name\":\"Real.exp_approx_start\",\"def_path\":\"Mathlib\\/Data\\/Complex\\/Exponential.lean\",\"def_pos\":[1505,9],\"def_end_pos\":[1505,25]}]"
+              ],
+              "state_after": "case h\n\n\u22a2 |rexp 1 - expNear 0 1 (2244083 / 825552)| \u2264 |1| ^ 0 / \u2191(Nat.factorial 0) * (1 / 10 ^ 10)",
+              "state_before": "\u22a2 |rexp 1 - 2244083 / 825552| \u2264 1 / 10 ^ 10",
+              "tactic": "apply exp_approx_start"
+            },
+            {
+              "annotated_tactic": [
+                "\"iterate 13 refine <a>exp_1_approx_succ_eq<\\/a> (by norm_num1; rfl) (by norm_cast) ?_\"",
+                "[{\"full_name\":\"Real.exp_1_approx_succ_eq\",\"def_path\":\"Mathlib\\/Data\\/Complex\\/Exponential.lean\",\"def_pos\":[1497,9],\"def_end_pos\":[1497,29]}]"
+              ],
+              "state_after": "case h\n\n\u22a2 |rexp 1 -\n        expNear 13 1\n          ((((((((((((((2244083 / 825552 - 1) * 1 - 1) * 2 - 1) * 3 - 1) * 4 - 1) * 5 - 1) * 6 - 1) * 7 - 1) * 8 - 1) *\n                            9 -\n                          1) *\n                        10 -\n                      1) *\n                    11 -\n                  1) *\n                12 -\n              1) *\n            13)| \u2264\n    |1| ^ 13 / \u2191(Nat.factorial 13) * (1 / 10 ^ 10 * 1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 * 9 * 10 * 11 * 12 * 13)",
+              "state_before": "case h\n\n\u22a2 |rexp 1 - expNear 0 1 (2244083 / 825552)| \u2264 |1| ^ 0 / \u2191(Nat.factorial 0) * (1 / 10 ^ 10)",
+              "tactic": "iterate 13 refine exp_1_approx_succ_eq (by norm_num1; rfl) (by norm_cast) ?_"
+            },
+            {
+              "annotated_tactic": [
+                "\"norm_num1\"",
+                "[]"
+              ],
+              "state_after": "case h\n\n\u22a2 |rexp 1 - expNear 13 1 (5 / 7)| \u2264 |1| ^ 13 / \u2191(Nat.factorial 13) * (243243 / 390625)",
+              "state_before": "case h\n\n\u22a2 |rexp 1 -\n        expNear 13 1\n          ((((((((((((((2244083 / 825552 - 1) * 1 - 1) * 2 - 1) * 3 - 1) * 4 - 1) * 5 - 1) * 6 - 1) * 7 - 1) * 8 - 1) *\n                            9 -\n                          1) *\n                        10 -\n                      1) *\n                    11 -\n                  1) *\n                12 -\n              1) *\n            13)| \u2264\n    |1| ^ 13 / \u2191(Nat.factorial 13) * (1 / 10 ^ 10 * 1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 * 9 * 10 * 11 * 12 * 13)",
+              "tactic": "norm_num1"
+            },
+            {
+              "annotated_tactic": [
+                "\"refine <a>exp_approx_end'<\\/a> _ (by norm_num1; rfl) _ (by norm_cast) (by simp) ?_\"",
+                "[{\"full_name\":\"Real.exp_approx_end'\",\"def_path\":\"Mathlib\\/Data\\/Complex\\/Exponential.lean\",\"def_pos\":[1490,9],\"def_end_pos\":[1490,24]}]"
+              ],
+              "state_after": "case h\n\n\u22a2 |1 - 5 / 7| \u2264 243243 / 390625 - |1| / 14 * ((14 + 1) / 14)",
+              "state_before": "case h\n\n\u22a2 |rexp 1 - expNear 13 1 (5 / 7)| \u2264 |1| ^ 13 / \u2191(Nat.factorial 13) * (243243 / 390625)",
+              "tactic": "refine exp_approx_end' _ (by norm_num1; rfl) _ (by norm_cast) (by simp) ?_"
+            },
+            {
+              "annotated_tactic": [
+                "\"rw [<a>_root_.abs_one<\\/a>, <a>abs_of_pos<\\/a>] <;> norm_num1\"",
+                "[{\"full_name\":\"abs_one\",\"def_path\":\"Mathlib\\/Algebra\\/Order\\/Ring\\/Abs.lean\",\"def_pos\":[42,15],\"def_end_pos\":[42,22]},{\"full_name\":\"abs_of_pos\",\"def_path\":\"Mathlib\\/Algebra\\/Order\\/Group\\/Abs.lean\",\"def_pos\":[101,3],\"def_end_pos\":[101,14]}]"
+              ],
+              "state_after": "no goals",
+              "state_before": "case h\n\n\u22a2 |1 - 5 / 7| \u2264 243243 / 390625 - |1| / 14 * ((14 + 1) / 14)",
+              "tactic": "rw [_root_.abs_one, abs_of_pos] <;> norm_num1"
+            },
+            {
+              "annotated_tactic": [
+                "\"refine <a>exp_1_approx_succ_eq<\\/a> (by norm_num1; rfl) (by norm_cast) ?_\"",
+                "[{\"full_name\":\"Real.exp_1_approx_succ_eq\",\"def_path\":\"Mathlib\\/Data\\/Complex\\/Exponential.lean\",\"def_pos\":[1497,9],\"def_end_pos\":[1497,29]}]"
+              ],
+              "state_after": "case h\n\n\u22a2 |rexp 1 -\n        expNear 13 1\n          ((((((((((((((2244083 / 825552 - 1) * 1 - 1) * 2 - 1) * 3 - 1) * 4 - 1) * 5 - 1) * 6 - 1) * 7 - 1) * 8 - 1) *\n                            9 -\n                          1) *\n                        10 -\n                      1) *\n                    11 -\n                  1) *\n                12 -\n              1) *\n            13)| \u2264\n    |1| ^ 13 / \u2191(Nat.factorial 13) * (1 / 10 ^ 10 * 1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 * 9 * 10 * 11 * 12 * 13)",
+              "state_before": "case h\n\n\u22a2 |rexp 1 -\n        expNear 12 1\n          (((((((((((((2244083 / 825552 - 1) * 1 - 1) * 2 - 1) * 3 - 1) * 4 - 1) * 5 - 1) * 6 - 1) * 7 - 1) * 8 - 1) *\n                        9 -\n                      1) *\n                    10 -\n                  1) *\n                11 -\n              1) *\n            12)| \u2264\n    |1| ^ 12 / \u2191(Nat.factorial 12) * (1 / 10 ^ 10 * 1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 * 9 * 10 * 11 * 12)",
+              "tactic": "refine exp_1_approx_succ_eq (by norm_num1; rfl) (by norm_cast) ?_"
+            },
+            {
+              "annotated_tactic": [
+                "\"norm_num1\"",
+                "[]"
+              ],
+              "state_after": "\u22a2 13 = ?m.1527",
+              "state_before": "\u22a2 12 + 1 = ?m.1527",
+              "tactic": "norm_num1"
+            },
+            {
+              "annotated_tactic": [
+                "\"rfl\"",
+                "[]"
+              ],
+              "state_after": "no goals",
+              "state_before": "\u22a2 13 = ?m.1527",
+              "tactic": "rfl"
+            },
+            {
+              "annotated_tactic": [
+                "\"norm_cast\"",
+                "[]"
+              ],
+              "state_after": "no goals",
+              "state_before": "\u22a2 \u219113 = ?m.1529",
+              "tactic": "norm_cast"
+            },
+            {
+              "annotated_tactic": [
+                "\"norm_num1\"",
+                "[]"
+              ],
+              "state_after": "\u22a2 14 = ?m.2233",
+              "state_before": "\u22a2 13 + 1 = ?m.2233",
+              "tactic": "norm_num1"
+            },
+            {
+              "annotated_tactic": [
+                "\"rfl\"",
+                "[]"
+              ],
+              "state_after": "no goals",
+              "state_before": "\u22a2 14 = ?m.2233",
+              "tactic": "rfl"
+            },
+            {
+              "annotated_tactic": [
+                "\"norm_cast\"",
+                "[]"
+              ],
+              "state_after": "no goals",
+              "state_before": "\u22a2 \u219114 = ?m.2235",
+              "tactic": "norm_cast"
+            },
+            {
+              "annotated_tactic": [
+                "\"simp\"",
+                "[]"
+              ],
+              "state_after": "no goals",
+              "state_before": "\u22a2 |1| \u2264 1",
+              "tactic": "simp"
+            }
+          ],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Complex/ExponentialBounds.lean"
+      },
+      {
+        "error": "no internal trace for tactic \"refine exp_approx_end' _ (by norm_num1; rfl) _ (by norm_cast) (by simp) ?_\"",
+        "full_name": "Real.exp_one_near_20",
+        "id": "Real.exp_one_near_20",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            33,
+            48
+          ],
+          "file_path": "Mathlib/Data/Complex/ExponentialBounds.lean",
+          "full_name": "Real.exp_one_near_20",
+          "start": [
+            28,
+            1
+          ],
+          "traced_tactics": [
+            {
+              "annotated_tactic": [
+                "\"apply <a>exp_approx_start<\\/a>\"",
+                "[{\"full_name\":\"Real.exp_approx_start\",\"def_path\":\"Mathlib\\/Data\\/Complex\\/Exponential.lean\",\"def_pos\":[1505,9],\"def_end_pos\":[1505,25]}]"
+              ],
+              "state_after": "case h\n\n\u22a2 |rexp 1 - expNear 0 1 (363916618873 / 133877442384)| \u2264 |1| ^ 0 / \u2191(Nat.factorial 0) * (1 / 10 ^ 20)",
+              "state_before": "\u22a2 |rexp 1 - 363916618873 / 133877442384| \u2264 1 / 10 ^ 20",
+              "tactic": "apply exp_approx_start"
+            },
+            {
+              "annotated_tactic": [
+                "\"iterate 21 refine <a>exp_1_approx_succ_eq<\\/a> (by norm_num1; rfl) (by norm_cast) ?_\"",
+                "[{\"full_name\":\"Real.exp_1_approx_succ_eq\",\"def_path\":\"Mathlib\\/Data\\/Complex\\/Exponential.lean\",\"def_pos\":[1497,9],\"def_end_pos\":[1497,29]}]"
+              ],
+              "state_after": "case h\n\n\u22a2 |rexp 1 -\n        expNear 21 1\n          ((((((((((((((((((((((363916618873 / 133877442384 - 1) * 1 - 1) * 2 - 1) * 3 - 1) * 4 - 1) * 5 - 1) * 6 - 1) *\n                                                                    7 -\n                                                                  1) *\n                                                                8 -\n                                                              1) *\n                                                            9 -\n                                                          1) *\n                                                        10 -\n                                                      1) *\n                                                    11 -\n                                                  1) *\n                                                12 -\n                                              1) *\n                                            13 -\n                                          1) *\n                                        14 -\n                                      1) *\n                                    15 -\n                                  1) *\n                                16 -\n                              1) *\n                            17 -\n                          1) *\n                        18 -\n                      1) *\n                    19 -\n                  1) *\n                20 -\n              1) *\n            21)| \u2264\n    |1| ^ 21 / \u2191(Nat.factorial 21) *\n      (1 / 10 ^ 20 * 1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 * 9 * 10 * 11 * 12 * 13 * 14 * 15 * 16 * 17 * 18 * 19 * 20 * 21)",
+              "state_before": "case h\n\n\u22a2 |rexp 1 - expNear 0 1 (363916618873 / 133877442384)| \u2264 |1| ^ 0 / \u2191(Nat.factorial 0) * (1 / 10 ^ 20)",
+              "tactic": "iterate 21 refine exp_1_approx_succ_eq (by norm_num1; rfl) (by norm_cast) ?_"
+            },
+            {
+              "annotated_tactic": [
+                "\"norm_num1\"",
+                "[]"
+              ],
+              "state_after": "case h\n\n\u22a2 |rexp 1 - expNear 21 1 (36295539 / 44271641)| \u2264 |1| ^ 21 / \u2191(Nat.factorial 21) * (311834363841 / 610351562500)",
+              "state_before": "case h\n\n\u22a2 |rexp 1 -\n        expNear 21 1\n          ((((((((((((((((((((((363916618873 / 133877442384 - 1) * 1 - 1) * 2 - 1) * 3 - 1) * 4 - 1) * 5 - 1) * 6 - 1) *\n                                                                    7 -\n                                                                  1) *\n                                                                8 -\n                                                              1) *\n                                                            9 -\n                                                          1) *\n                                                        10 -\n                                                      1) *\n                                                    11 -\n                                                  1) *\n                                                12 -\n                                              1) *\n                                            13 -\n                                          1) *\n                                        14 -\n                                      1) *\n                                    15 -\n                                  1) *\n                                16 -\n                              1) *\n                            17 -\n                          1) *\n                        18 -\n                      1) *\n                    19 -\n                  1) *\n                20 -\n              1) *\n            21)| \u2264\n    |1| ^ 21 / \u2191(Nat.factorial 21) *\n      (1 / 10 ^ 20 * 1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 * 9 * 10 * 11 * 12 * 13 * 14 * 15 * 16 * 17 * 18 * 19 * 20 * 21)",
+              "tactic": "norm_num1"
+            },
+            {
+              "annotated_tactic": [
+                "\"refine <a>exp_approx_end'<\\/a> _ (by norm_num1; rfl) _ (by norm_cast) (by simp) ?_\"",
+                "[{\"full_name\":\"Real.exp_approx_end'\",\"def_path\":\"Mathlib\\/Data\\/Complex\\/Exponential.lean\",\"def_pos\":[1490,9],\"def_end_pos\":[1490,24]}]"
+              ],
+              "state_after": "case h\n\n\u22a2 |1 - 36295539 / 44271641| \u2264 311834363841 / 610351562500 - |1| / 22 * ((22 + 1) / 22)",
+              "state_before": "case h\n\n\u22a2 |rexp 1 - expNear 21 1 (36295539 / 44271641)| \u2264 |1| ^ 21 / \u2191(Nat.factorial 21) * (311834363841 / 610351562500)",
+              "tactic": "refine exp_approx_end' _ (by norm_num1; rfl) _ (by norm_cast) (by simp) ?_"
+            },
+            {
+              "annotated_tactic": [
+                "\"rw [<a>_root_.abs_one<\\/a>, <a>abs_of_pos<\\/a>] <;> norm_num1\"",
+                "[{\"full_name\":\"abs_one\",\"def_path\":\"Mathlib\\/Algebra\\/Order\\/Ring\\/Abs.lean\",\"def_pos\":[42,15],\"def_end_pos\":[42,22]},{\"full_name\":\"abs_of_pos\",\"def_path\":\"Mathlib\\/Algebra\\/Order\\/Group\\/Abs.lean\",\"def_pos\":[101,3],\"def_end_pos\":[101,14]}]"
+              ],
+              "state_after": "no goals",
+              "state_before": "case h\n\n\u22a2 |1 - 36295539 / 44271641| \u2264 311834363841 / 610351562500 - |1| / 22 * ((22 + 1) / 22)",
+              "tactic": "rw [_root_.abs_one, abs_of_pos] <;> norm_num1"
+            },
+            {
+              "annotated_tactic": [
+                "\"refine <a>exp_1_approx_succ_eq<\\/a> (by norm_num1; rfl) (by norm_cast) ?_\"",
+                "[{\"full_name\":\"Real.exp_1_approx_succ_eq\",\"def_path\":\"Mathlib\\/Data\\/Complex\\/Exponential.lean\",\"def_pos\":[1497,9],\"def_end_pos\":[1497,29]}]"
+              ],
+              "state_after": "case h\n\n\u22a2 |rexp 1 -\n        expNear 21 1\n          ((((((((((((((((((((((363916618873 / 133877442384 - 1) * 1 - 1) * 2 - 1) * 3 - 1) * 4 - 1) * 5 - 1) * 6 - 1) *\n                                                                    7 -\n                                                                  1) *\n                                                                8 -\n                                                              1) *\n                                                            9 -\n                                                          1) *\n                                                        10 -\n                                                      1) *\n                                                    11 -\n                                                  1) *\n                                                12 -\n                                              1) *\n                                            13 -\n                                          1) *\n                                        14 -\n                                      1) *\n                                    15 -\n                                  1) *\n                                16 -\n                              1) *\n                            17 -\n                          1) *\n                        18 -\n                      1) *\n                    19 -\n                  1) *\n                20 -\n              1) *\n            21)| \u2264\n    |1| ^ 21 / \u2191(Nat.factorial 21) *\n      (1 / 10 ^ 20 * 1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 * 9 * 10 * 11 * 12 * 13 * 14 * 15 * 16 * 17 * 18 * 19 * 20 * 21)",
+              "state_before": "case h\n\n\u22a2 |rexp 1 -\n        expNear 20 1\n          (((((((((((((((((((((363916618873 / 133877442384 - 1) * 1 - 1) * 2 - 1) * 3 - 1) * 4 - 1) * 5 - 1) * 6 - 1) *\n                                                                7 -\n                                                              1) *\n                                                            8 -\n                                                          1) *\n                                                        9 -\n                                                      1) *\n                                                    10 -\n                                                  1) *\n                                                11 -\n                                              1) *\n                                            12 -\n                                          1) *\n                                        13 -\n                                      1) *\n                                    14 -\n                                  1) *\n                                15 -\n                              1) *\n                            16 -\n                          1) *\n                        17 -\n                      1) *\n                    18 -\n                  1) *\n                19 -\n              1) *\n            20)| \u2264\n    |1| ^ 20 / \u2191(Nat.factorial 20) *\n      (1 / 10 ^ 20 * 1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 * 9 * 10 * 11 * 12 * 13 * 14 * 15 * 16 * 17 * 18 * 19 * 20)",
+              "tactic": "refine exp_1_approx_succ_eq (by norm_num1; rfl) (by norm_cast) ?_"
+            },
+            {
+              "annotated_tactic": [
+                "\"norm_num1\"",
+                "[]"
+              ],
+              "state_after": "\u22a2 21 = ?m.4991",
+              "state_before": "\u22a2 20 + 1 = ?m.4991",
+              "tactic": "norm_num1"
+            },
+            {
+              "annotated_tactic": [
+                "\"rfl\"",
+                "[]"
+              ],
+              "state_after": "no goals",
+              "state_before": "\u22a2 21 = ?m.4991",
+              "tactic": "rfl"
+            },
+            {
+              "annotated_tactic": [
+                "\"norm_cast\"",
+                "[]"
+              ],
+              "state_after": "no goals",
+              "state_before": "\u22a2 \u219121 = ?m.4993",
+              "tactic": "norm_cast"
+            },
+            {
+              "annotated_tactic": [
+                "\"norm_num1\"",
+                "[]"
+              ],
+              "state_after": "\u22a2 22 = ?m.5833",
+              "state_before": "\u22a2 21 + 1 = ?m.5833",
+              "tactic": "norm_num1"
+            },
+            {
+              "annotated_tactic": [
+                "\"rfl\"",
+                "[]"
+              ],
+              "state_after": "no goals",
+              "state_before": "\u22a2 22 = ?m.5833",
+              "tactic": "rfl"
+            },
+            {
+              "annotated_tactic": [
+                "\"norm_cast\"",
+                "[]"
+              ],
+              "state_after": "no goals",
+              "state_before": "\u22a2 \u219122 = ?m.5835",
+              "tactic": "norm_cast"
+            },
+            {
+              "annotated_tactic": [
+                "\"simp\"",
+                "[]"
+              ],
+              "state_after": "no goals",
+              "state_before": "\u22a2 |1| \u2264 1",
+              "tactic": "simp"
+            }
+          ],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Complex/ExponentialBounds.lean"
+      },
+      {
+        "error": "no internal trace for tactic 'rw [abs_of_pos] <;> norm_num'",
+        "full_name": "Real.log_two_near_10",
+        "id": "Real.log_two_near_10",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            71,
+            31
+          ],
+          "file_path": "Mathlib/Data/Complex/ExponentialBounds.lean",
+          "full_name": "Real.log_two_near_10",
+          "start": [
+            59,
+            1
+          ],
+          "traced_tactics": [
+            {
+              "annotated_tactic": [
+                "\"suffices |<a>log<\\/a> 2 - 287209 \\/ 414355| \\u2264 1 \\/ 17179869184 + (1 \\/ 10 ^ 10 - 1 \\/ 2 ^ 34) by\\n    norm_num1 at *\\n    assumption\"",
+                "[{\"full_name\":\"Real.log\",\"def_path\":\"Mathlib\\/Analysis\\/SpecialFunctions\\/Log\\/Basic.lean\",\"def_pos\":[41,19],\"def_end_pos\":[41,22]}]"
+              ],
+              "state_after": "\u22a2 |log 2 - 287209 / 414355| \u2264 1 / 17179869184 + (1 / 10 ^ 10 - 1 / 2 ^ 34)",
+              "state_before": "\u22a2 |log 2 - 287209 / 414355| \u2264 1 / 10 ^ 10",
+              "tactic": "suffices |log 2 - 287209 / 414355| \u2264 1 / 17179869184 + (1 / 10 ^ 10 - 1 / 2 ^ 34) by\n  norm_num1 at *\n  assumption"
+            },
+            {
+              "annotated_tactic": [
+                "\"have t : |(2\\u207b\\u00b9 : \\u211d)| = 2\\u207b\\u00b9 := by rw [<a>abs_of_pos<\\/a>]; norm_num\"",
+                "[{\"full_name\":\"abs_of_pos\",\"def_path\":\"Mathlib\\/Algebra\\/Order\\/Group\\/Abs.lean\",\"def_pos\":[101,3],\"def_end_pos\":[101,14]}]"
+              ],
+              "state_after": "t : |2\u207b\u00b9| = 2\u207b\u00b9\n\u22a2 |log 2 - 287209 / 414355| \u2264 1 / 17179869184 + (1 / 10 ^ 10 - 1 / 2 ^ 34)",
+              "state_before": "\u22a2 |log 2 - 287209 / 414355| \u2264 1 / 17179869184 + (1 / 10 ^ 10 - 1 / 2 ^ 34)",
+              "tactic": "have t : |(2\u207b\u00b9 : \u211d)| = 2\u207b\u00b9 := by rw [abs_of_pos]; norm_num"
+            },
+            {
+              "annotated_tactic": [
+                "\"have z := <a>Real.abs_log_sub_add_sum_range_le<\\/a> (show |(2\\u207b\\u00b9 : \\u211d)| < 1 by rw [t]; norm_num) 34\"",
+                "[{\"full_name\":\"Real.abs_log_sub_add_sum_range_le\",\"def_path\":\"Mathlib\\/Analysis\\/SpecialFunctions\\/Log\\/Deriv.lean\",\"def_pos\":[226,9],\"def_end_pos\":[226,37]}]"
+              ],
+              "state_after": "t : |2\u207b\u00b9| = 2\u207b\u00b9\nz : |\u2211 i \u2208 range 34, 2\u207b\u00b9 ^ (i + 1) / (\u2191i + 1) + log (1 - 2\u207b\u00b9)| \u2264 |2\u207b\u00b9| ^ (34 + 1) / (1 - |2\u207b\u00b9|)\n\u22a2 |log 2 - 287209 / 414355| \u2264 1 / 17179869184 + (1 / 10 ^ 10 - 1 / 2 ^ 34)",
+              "state_before": "t : |2\u207b\u00b9| = 2\u207b\u00b9\n\u22a2 |log 2 - 287209 / 414355| \u2264 1 / 17179869184 + (1 / 10 ^ 10 - 1 / 2 ^ 34)",
+              "tactic": "have z := Real.abs_log_sub_add_sum_range_le (show |(2\u207b\u00b9 : \u211d)| < 1 by rw [t]; norm_num) 34"
+            },
+            {
+              "annotated_tactic": [
+                "\"rw [t] at z\"",
+                "[]"
+              ],
+              "state_after": "t : |2\u207b\u00b9| = 2\u207b\u00b9\nz : |\u2211 i \u2208 range 34, 2\u207b\u00b9 ^ (i + 1) / (\u2191i + 1) + log (1 - 2\u207b\u00b9)| \u2264 2\u207b\u00b9 ^ (34 + 1) / (1 - 2\u207b\u00b9)\n\u22a2 |log 2 - 287209 / 414355| \u2264 1 / 17179869184 + (1 / 10 ^ 10 - 1 / 2 ^ 34)",
+              "state_before": "t : |2\u207b\u00b9| = 2\u207b\u00b9\nz : |\u2211 i \u2208 range 34, 2\u207b\u00b9 ^ (i + 1) / (\u2191i + 1) + log (1 - 2\u207b\u00b9)| \u2264 |2\u207b\u00b9| ^ (34 + 1) / (1 - |2\u207b\u00b9|)\n\u22a2 |log 2 - 287209 / 414355| \u2264 1 / 17179869184 + (1 / 10 ^ 10 - 1 / 2 ^ 34)",
+              "tactic": "rw [t] at z"
+            },
+            {
+              "annotated_tactic": [
+                "\"norm_num1 at z\"",
+                "[]"
+              ],
+              "state_after": "t : |2\u207b\u00b9| = 2\u207b\u00b9\nz : |\u2211 x \u2208 range 34, (1 / 2) ^ (x + 1) / (\u2191x + 1) + log (1 / 2)| \u2264 1 / 17179869184\n\u22a2 |log 2 - 287209 / 414355| \u2264 1 / 17179869184 + (1 / 10 ^ 10 - 1 / 2 ^ 34)",
+              "state_before": "t : |2\u207b\u00b9| = 2\u207b\u00b9\nz : |\u2211 i \u2208 range 34, 2\u207b\u00b9 ^ (i + 1) / (\u2191i + 1) + log (1 - 2\u207b\u00b9)| \u2264 2\u207b\u00b9 ^ (34 + 1) / (1 - 2\u207b\u00b9)\n\u22a2 |log 2 - 287209 / 414355| \u2264 1 / 17179869184 + (1 / 10 ^ 10 - 1 / 2 ^ 34)",
+              "tactic": "norm_num1 at z"
+            },
+            {
+              "annotated_tactic": [
+                "\"rw [<a>one_div<\\/a> (2 : \\u211d), <a>log_inv<\\/a>, \\u2190 <a>sub_eq_add_neg<\\/a>, <a>_root_.abs_sub_comm<\\/a>] at z\"",
+                "[{\"full_name\":\"one_div\",\"def_path\":\"Mathlib\\/Algebra\\/Group\\/Basic.lean\",\"def_pos\":[468,9],\"def_end_pos\":[468,16]},{\"full_name\":\"Real.log_inv\",\"def_path\":\"Mathlib\\/Analysis\\/SpecialFunctions\\/Log\\/Basic.lean\",\"def_pos\":[137,9],\"def_end_pos\":[137,16]},{\"full_name\":\"sub_eq_add_neg\",\"def_path\":\"Mathlib\\/Algebra\\/Group\\/Defs.lean\",\"def_pos\":[1057,3],\"def_end_pos\":[1057,14]},{\"full_name\":\"abs_sub_comm\",\"def_path\":\"Mathlib\\/Algebra\\/Order\\/Group\\/Abs.lean\",\"def_pos\":[90,3],\"def_end_pos\":[90,14]}]"
+              ],
+              "state_after": "t : |2\u207b\u00b9| = 2\u207b\u00b9\nz : |log 2 - \u2211 x \u2208 range 34, 2\u207b\u00b9 ^ (x + 1) / (\u2191x + 1)| \u2264 1 / 17179869184\n\u22a2 |log 2 - 287209 / 414355| \u2264 1 / 17179869184 + (1 / 10 ^ 10 - 1 / 2 ^ 34)",
+              "state_before": "t : |2\u207b\u00b9| = 2\u207b\u00b9\nz : |\u2211 x \u2208 range 34, (1 / 2) ^ (x + 1) / (\u2191x + 1) + log (1 / 2)| \u2264 1 / 17179869184\n\u22a2 |log 2 - 287209 / 414355| \u2264 1 / 17179869184 + (1 / 10 ^ 10 - 1 / 2 ^ 34)",
+              "tactic": "rw [one_div (2 : \u211d), log_inv, \u2190 sub_eq_add_neg, _root_.abs_sub_comm] at z"
+            },
+            {
+              "annotated_tactic": [
+                "\"apply <a>le_trans<\\/a> (<a>_root_.abs_sub_le<\\/a> _ _ _) (<a>add_le_add<\\/a> z _)\"",
+                "[{\"full_name\":\"le_trans\",\"def_path\":\"Mathlib\\/Init\\/Order\\/Defs.lean\",\"def_pos\":[56,9],\"def_end_pos\":[56,17]},{\"full_name\":\"abs_sub_le\",\"def_path\":\"Mathlib\\/Algebra\\/Order\\/Group\\/Abs.lean\",\"def_pos\":[512,9],\"def_end_pos\":[512,19]},{\"full_name\":\"add_le_add\",\"def_path\":\"Mathlib\\/Algebra\\/Order\\/Monoid\\/Unbundled\\/Basic.lean\",\"def_pos\":[205,32],\"def_end_pos\":[205,42]}]"
+              ],
+              "state_after": "t : |2\u207b\u00b9| = 2\u207b\u00b9\nz : |log 2 - \u2211 x \u2208 range 34, 2\u207b\u00b9 ^ (x + 1) / (\u2191x + 1)| \u2264 1 / 17179869184\n\u22a2 |\u2211 x \u2208 range 34, 2\u207b\u00b9 ^ (x + 1) / (\u2191x + 1) - 287209 / 414355| \u2264 1 / 10 ^ 10 - 1 / 2 ^ 34",
+              "state_before": "t : |2\u207b\u00b9| = 2\u207b\u00b9\nz : |log 2 - \u2211 x \u2208 range 34, 2\u207b\u00b9 ^ (x + 1) / (\u2191x + 1)| \u2264 1 / 17179869184\n\u22a2 |log 2 - 287209 / 414355| \u2264 1 / 17179869184 + (1 / 10 ^ 10 - 1 / 2 ^ 34)",
+              "tactic": "apply le_trans (_root_.abs_sub_le _ _ _) (add_le_add z _)"
+            },
+            {
+              "annotated_tactic": [
+                "\"simp_rw [<a>sum_range_succ<\\/a>]\"",
+                "[{\"full_name\":\"Finset.sum_range_succ\",\"def_path\":\"Mathlib\\/Algebra\\/BigOperators\\/Group\\/Finset.lean\",\"def_pos\":[1519,3],\"def_end_pos\":[1519,14]}]"
+              ],
+              "state_after": "t : |2\u207b\u00b9| = 2\u207b\u00b9\nz : |log 2 - \u2211 x \u2208 range 34, 2\u207b\u00b9 ^ (x + 1) / (\u2191x + 1)| \u2264 1 / 17179869184\n\u22a2 |\u2211 x \u2208 range 0, 2\u207b\u00b9 ^ (x + 1) / (\u2191x + 1) + 2\u207b\u00b9 ^ (0 + 1) / (\u21910 + 1) + 2\u207b\u00b9 ^ (1 + 1) / (\u21911 + 1) +\n                                                                        2\u207b\u00b9 ^ (2 + 1) / (\u21912 + 1) +\n                                                                      2\u207b\u00b9 ^ (3 + 1) / (\u21913 + 1) +\n                                                                    2\u207b\u00b9 ^ (4 + 1) / (\u21914 + 1) +\n                                                                  2\u207b\u00b9 ^ (5 + 1) / (\u21915 + 1) +\n                                                                2\u207b\u00b9 ^ (6 + 1) / (\u21916 + 1) +\n                                                              2\u207b\u00b9 ^ (7 + 1) / (\u21917 + 1) +\n                                                            2\u207b\u00b9 ^ (8 + 1) / (\u21918 + 1) +\n                                                          2\u207b\u00b9 ^ (9 + 1) / (\u21919 + 1) +\n                                                        2\u207b\u00b9 ^ (10 + 1) / (\u219110 + 1) +\n                                                      2\u207b\u00b9 ^ (11 + 1) / (\u219111 + 1) +\n                                                    2\u207b\u00b9 ^ (12 + 1) / (\u219112 + 1) +\n                                                  2\u207b\u00b9 ^ (13 + 1) / (\u219113 + 1) +\n                                                2\u207b\u00b9 ^ (14 + 1) / (\u219114 + 1) +\n                                              2\u207b\u00b9 ^ (15 + 1) / (\u219115 + 1) +\n                                            2\u207b\u00b9 ^ (16 + 1) / (\u219116 + 1) +\n                                          2\u207b\u00b9 ^ (17 + 1) / (\u219117 + 1) +\n                                        2\u207b\u00b9 ^ (18 + 1) / (\u219118 + 1) +\n                                      2\u207b\u00b9 ^ (19 + 1) / (\u219119 + 1) +\n                                    2\u207b\u00b9 ^ (20 + 1) / (\u219120 + 1) +\n                                  2\u207b\u00b9 ^ (21 + 1) / (\u219121 + 1) +\n                                2\u207b\u00b9 ^ (22 + 1) / (\u219122 + 1) +\n                              2\u207b\u00b9 ^ (23 + 1) / (\u219123 + 1) +\n                            2\u207b\u00b9 ^ (24 + 1) / (\u219124 + 1) +\n                          2\u207b\u00b9 ^ (25 + 1) / (\u219125 + 1) +\n                        2\u207b\u00b9 ^ (26 + 1) / (\u219126 + 1) +\n                      2\u207b\u00b9 ^ (27 + 1) / (\u219127 + 1) +\n                    2\u207b\u00b9 ^ (28 + 1) / (\u219128 + 1) +\n                  2\u207b\u00b9 ^ (29 + 1) / (\u219129 + 1) +\n                2\u207b\u00b9 ^ (30 + 1) / (\u219130 + 1) +\n              2\u207b\u00b9 ^ (31 + 1) / (\u219131 + 1) +\n            2\u207b\u00b9 ^ (32 + 1) / (\u219132 + 1) +\n          2\u207b\u00b9 ^ (33 + 1) / (\u219133 + 1) -\n        287209 / 414355| \u2264\n    1 / 10 ^ 10 - 1 / 2 ^ 34",
+              "state_before": "t : |2\u207b\u00b9| = 2\u207b\u00b9\nz : |log 2 - \u2211 x \u2208 range 34, 2\u207b\u00b9 ^ (x + 1) / (\u2191x + 1)| \u2264 1 / 17179869184\n\u22a2 |\u2211 x \u2208 range 34, 2\u207b\u00b9 ^ (x + 1) / (\u2191x + 1) - 287209 / 414355| \u2264 1 / 10 ^ 10 - 1 / 2 ^ 34",
+              "tactic": "simp_rw [sum_range_succ]"
+            },
+            {
+              "annotated_tactic": [
+                "\"norm_num\"",
+                "[]"
+              ],
+              "state_after": "t : |2\u207b\u00b9| = 2\u207b\u00b9\nz : |log 2 - \u2211 x \u2208 range 34, 2\u207b\u00b9 ^ (x + 1) / (\u2191x + 1)| \u2264 1 / 17179869184\n\u22a2 |30417026706710207 / 51397301678363663775930777600| \u2264 7011591 / 167772160000000000",
+              "state_before": "t : |2\u207b\u00b9| = 2\u207b\u00b9\nz : |log 2 - \u2211 x \u2208 range 34, 2\u207b\u00b9 ^ (x + 1) / (\u2191x + 1)| \u2264 1 / 17179869184\n\u22a2 |\u2211 x \u2208 range 0, 2\u207b\u00b9 ^ (x + 1) / (\u2191x + 1) + 2\u207b\u00b9 ^ (0 + 1) / (\u21910 + 1) + 2\u207b\u00b9 ^ (1 + 1) / (\u21911 + 1) +\n                                                                        2\u207b\u00b9 ^ (2 + 1) / (\u21912 + 1) +\n                                                                      2\u207b\u00b9 ^ (3 + 1) / (\u21913 + 1) +\n                                                                    2\u207b\u00b9 ^ (4 + 1) / (\u21914 + 1) +\n                                                                  2\u207b\u00b9 ^ (5 + 1) / (\u21915 + 1) +\n                                                                2\u207b\u00b9 ^ (6 + 1) / (\u21916 + 1) +\n                                                              2\u207b\u00b9 ^ (7 + 1) / (\u21917 + 1) +\n                                                            2\u207b\u00b9 ^ (8 + 1) / (\u21918 + 1) +\n                                                          2\u207b\u00b9 ^ (9 + 1) / (\u21919 + 1) +\n                                                        2\u207b\u00b9 ^ (10 + 1) / (\u219110 + 1) +\n                                                      2\u207b\u00b9 ^ (11 + 1) / (\u219111 + 1) +\n                                                    2\u207b\u00b9 ^ (12 + 1) / (\u219112 + 1) +\n                                                  2\u207b\u00b9 ^ (13 + 1) / (\u219113 + 1) +\n                                                2\u207b\u00b9 ^ (14 + 1) / (\u219114 + 1) +\n                                              2\u207b\u00b9 ^ (15 + 1) / (\u219115 + 1) +\n                                            2\u207b\u00b9 ^ (16 + 1) / (\u219116 + 1) +\n                                          2\u207b\u00b9 ^ (17 + 1) / (\u219117 + 1) +\n                                        2\u207b\u00b9 ^ (18 + 1) / (\u219118 + 1) +\n                                      2\u207b\u00b9 ^ (19 + 1) / (\u219119 + 1) +\n                                    2\u207b\u00b9 ^ (20 + 1) / (\u219120 + 1) +\n                                  2\u207b\u00b9 ^ (21 + 1) / (\u219121 + 1) +\n                                2\u207b\u00b9 ^ (22 + 1) / (\u219122 + 1) +\n                              2\u207b\u00b9 ^ (23 + 1) / (\u219123 + 1) +\n                            2\u207b\u00b9 ^ (24 + 1) / (\u219124 + 1) +\n                          2\u207b\u00b9 ^ (25 + 1) / (\u219125 + 1) +\n                        2\u207b\u00b9 ^ (26 + 1) / (\u219126 + 1) +\n                      2\u207b\u00b9 ^ (27 + 1) / (\u219127 + 1) +\n                    2\u207b\u00b9 ^ (28 + 1) / (\u219128 + 1) +\n                  2\u207b\u00b9 ^ (29 + 1) / (\u219129 + 1) +\n                2\u207b\u00b9 ^ (30 + 1) / (\u219130 + 1) +\n              2\u207b\u00b9 ^ (31 + 1) / (\u219131 + 1) +\n            2\u207b\u00b9 ^ (32 + 1) / (\u219132 + 1) +\n          2\u207b\u00b9 ^ (33 + 1) / (\u219133 + 1) -\n        287209 / 414355| \u2264\n    1 / 10 ^ 10 - 1 / 2 ^ 34",
+              "tactic": "norm_num"
+            },
+            {
+              "annotated_tactic": [
+                "\"rw [<a>abs_of_pos<\\/a>] <;> norm_num\"",
+                "[{\"full_name\":\"abs_of_pos\",\"def_path\":\"Mathlib\\/Algebra\\/Order\\/Group\\/Abs.lean\",\"def_pos\":[101,3],\"def_end_pos\":[101,14]}]"
+              ],
+              "state_after": "no goals",
+              "state_before": "t : |2\u207b\u00b9| = 2\u207b\u00b9\nz : |log 2 - \u2211 x \u2208 range 34, 2\u207b\u00b9 ^ (x + 1) / (\u2191x + 1)| \u2264 1 / 17179869184\n\u22a2 |30417026706710207 / 51397301678363663775930777600| \u2264 7011591 / 167772160000000000",
+              "tactic": "rw [abs_of_pos] <;> norm_num"
+            },
+            {
+              "annotated_tactic": [
+                "\"norm_num1 at *\"",
+                "[]"
+              ],
+              "state_after": "this : |log 2 - 287209 / 414355| \u2264 1 / 10000000000\n\u22a2 |log 2 - 287209 / 414355| \u2264 1 / 10000000000",
+              "state_before": "this : |log 2 - 287209 / 414355| \u2264 1 / 17179869184 + (1 / 10 ^ 10 - 1 / 2 ^ 34)\n\u22a2 |log 2 - 287209 / 414355| \u2264 1 / 10 ^ 10",
+              "tactic": "norm_num1 at *"
+            },
+            {
+              "annotated_tactic": [
+                "\"assumption\"",
+                "[]"
+              ],
+              "state_after": "no goals",
+              "state_before": "this : |log 2 - 287209 / 414355| \u2264 1 / 10000000000\n\u22a2 |log 2 - 287209 / 414355| \u2264 1 / 10000000000",
+              "tactic": "assumption"
+            },
+            {
+              "annotated_tactic": [
+                "\"rw [<a>abs_of_pos<\\/a>]\"",
+                "[{\"full_name\":\"abs_of_pos\",\"def_path\":\"Mathlib\\/Algebra\\/Order\\/Group\\/Abs.lean\",\"def_pos\":[101,3],\"def_end_pos\":[101,14]}]"
+              ],
+              "state_after": "\u22a2 0 < 2\u207b\u00b9",
+              "state_before": "\u22a2 |2\u207b\u00b9| = 2\u207b\u00b9",
+              "tactic": "rw [abs_of_pos]"
+            },
+            {
+              "annotated_tactic": [
+                "\"norm_num\"",
+                "[]"
+              ],
+              "state_after": "no goals",
+              "state_before": "\u22a2 0 < 2\u207b\u00b9",
+              "tactic": "norm_num"
+            },
+            {
+              "annotated_tactic": [
+                "\"rw [t]\"",
+                "[]"
+              ],
+              "state_after": "t : |2\u207b\u00b9| = 2\u207b\u00b9\n\u22a2 2\u207b\u00b9 < 1",
+              "state_before": "t : |2\u207b\u00b9| = 2\u207b\u00b9\n\u22a2 |2\u207b\u00b9| < 1",
+              "tactic": "rw [t]"
+            },
+            {
+              "annotated_tactic": [
+                "\"norm_num\"",
+                "[]"
+              ],
+              "state_after": "no goals",
+              "state_before": "t : |2\u207b\u00b9| = 2\u207b\u00b9\n\u22a2 2\u207b\u00b9 < 1",
+              "tactic": "norm_num"
+            }
+          ],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Complex/ExponentialBounds.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "Complex.finrank_real_complex_fact",
+        "id": "Complex.finrank_real_complex_fact",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            42,
+            25
+          ],
+          "file_path": "Mathlib/Data/Complex/FiniteDimensional.lean",
+          "full_name": "Complex.finrank_real_complex_fact",
+          "start": [
+            41,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Complex/FiniteDimensional.lean"
+      }
+    ],
+    "input_proofs": 18,
+    "input_units": 2,
+    "proofs": 12,
+    "published_proofs": 12,
+    "published_transitions": 15,
+    "replay_failures": [],
+    "transitions": 15,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/mathlib-000881-0000-6374dd1bf76bd455.parquet",
+      "sha256": "6374dd1bf76bd455dc67c7f6f86e43836e41cf199f5d56d6c44b0235913a0193",
+      "bytes": 38732,
+      "rows": 8,
+      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
+    },
+    {
+      "path": "data/dev/mathlib-000881-0000-f6b89e17a79dbb50.parquet",
+      "sha256": "f6b89e17a79dbb50db0ee46870b3f26d7844019a054bdcbbfb14a352305d62c1",
+      "bytes": 47481,
+      "rows": 1,
+      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
+    },
+    {
+      "path": "data/internal_test/mathlib-000881-0000-7453d55ce521bc59.parquet",
+      "sha256": "7453d55ce521bc592ab65235d927aeefe399f7d7e8c8bb8cbec744441c2527f3",
+      "bytes": 37140,
+      "rows": 6,
+      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
+    }
+  ],
+  "proof_ids": [
+    "mathlib:Complex.finrank_real_complex",
+    "mathlib:Complex.nonempty_linearEquiv_real",
+    "mathlib:Complex.rank_rat_complex",
+    "mathlib:Complex.rank_real_complex",
+    "mathlib:Complex.rank_real_complex'",
+    "mathlib:Real.exp_one_gt_d9",
+    "mathlib:Real.exp_one_lt_d9",
+    "mathlib:Real.log_two_gt_d9",
+    "mathlib:Real.log_two_lt_d9",
+    "mathlib:Real.rank_rat_real",
+    "mathlib:finrank_real_of_complex",
+    "mathlib:rank_real_of_complex"
+  ],
+  "proof_keys": [
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/ExponentialBounds.lean\",null,null,\"Real.exp_one_gt_d9\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/ExponentialBounds.lean\",null,null,\"Real.exp_one_lt_d9\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/ExponentialBounds.lean\",null,null,\"Real.log_two_gt_d9\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/ExponentialBounds.lean\",null,null,\"Real.log_two_lt_d9\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/FiniteDimensional.lean\",null,null,\"Complex.finrank_real_complex\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/FiniteDimensional.lean\",null,null,\"Complex.nonempty_linearEquiv_real\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/FiniteDimensional.lean\",null,null,\"Complex.rank_rat_complex\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/FiniteDimensional.lean\",null,null,\"Complex.rank_real_complex\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/FiniteDimensional.lean\",null,null,\"Complex.rank_real_complex'\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/FiniteDimensional.lean\",null,null,\"Real.rank_rat_real\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/FiniteDimensional.lean\",null,null,\"finrank_real_of_complex\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/FiniteDimensional.lean\",null,null,\"rank_real_of_complex\"]"
+  ]
+}

manifests/batches/mathlib/000882.json

@@ -0,0 +1,918 @@
+{
+  "format": "leangpt-parquet-v2",
+  "batch": "mathlib/000882",
+  "batch_fingerprint": "444b675921c8d6a259f7255f6a5cc5d079ecf3c417620b3857d9c590e286e188",
+  "evidence": {
+    "batch_fingerprint": "444b675921c8d6a259f7255f6a5cc5d079ecf3c417620b3857d9c590e286e188",
+    "contamination_matches": [],
+    "failures": [
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "AlgHom.map_coe_real_complex",
+        "id": "AlgHom.map_coe_real_complex",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            121,
+            15
+          ],
+          "file_path": "Mathlib/Data/Complex/Module.lean",
+          "full_name": "AlgHom.map_coe_real_complex",
+          "start": [
+            120,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Complex/Module.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "Complex.coe_algebraMap",
+        "id": "Complex.coe_algebraMap",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            110,
+            6
+          ],
+          "file_path": "Mathlib/Data/Complex/Module.lean",
+          "full_name": "Complex.coe_algebraMap",
+          "start": [
+            109,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Complex/Module.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "Complex.coe_basisOneI_repr",
+        "id": "Complex.coe_basisOneI_repr",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            151,
+            6
+          ],
+          "file_path": "Mathlib/Data/Complex/Module.lean",
+          "full_name": "Complex.coe_basisOneI_repr",
+          "start": [
+            150,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Complex/Module.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "Complex.coe_smul",
+        "id": "Complex.coe_smul",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            200,
+            6
+          ],
+          "file_path": "Mathlib/Data/Complex/Module.lean",
+          "full_name": "Complex.coe_smul",
+          "start": [
+            198,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Complex/Module.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "Complex.conjAe_coe",
+        "id": "Complex.conjAe_coe",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            274,
+            6
+          ],
+          "file_path": "Mathlib/Data/Complex/Module.lean",
+          "full_name": "Complex.conjAe_coe",
+          "start": [
+            273,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Complex/Module.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "Complex.equivRealProdLm_symm_apply",
+        "id": "Complex.equivRealProdLm_symm_apply",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            303,
+            97
+          ],
+          "file_path": "Mathlib/Data/Complex/Module.lean",
+          "full_name": "Complex.equivRealProdLm_symm_apply",
+          "start": [
+            302,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Complex/Module.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "Complex.imLm_coe",
+        "id": "Complex.imLm_coe",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            250,
+            6
+          ],
+          "file_path": "Mathlib/Data/Complex/Module.lean",
+          "full_name": "Complex.imLm_coe",
+          "start": [
+            249,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Complex/Module.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "Complex.liftAux_I",
+        "id": "Complex.liftAux_I",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            355,
+            36
+          ],
+          "file_path": "Mathlib/Data/Complex/Module.lean",
+          "full_name": "Complex.liftAux_I",
+          "start": [
+            354,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Complex/Module.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "Complex.liftAux_apply",
+        "id": "Complex.liftAux_apply",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            331,
+            6
+          ],
+          "file_path": "Mathlib/Data/Complex/Module.lean",
+          "full_name": "Complex.liftAux_apply",
+          "start": [
+            330,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Complex/Module.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "Complex.liftAux_neg_I",
+        "id": "Complex.liftAux_neg_I",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            362,
+            56
+          ],
+          "file_path": "Mathlib/Data/Complex/Module.lean",
+          "full_name": "Complex.liftAux_neg_I",
+          "start": [
+            361,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Complex/Module.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "Complex.ofRealAm_coe",
+        "id": "Complex.ofRealAm_coe",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            260,
+            6
+          ],
+          "file_path": "Mathlib/Data/Complex/Module.lean",
+          "full_name": "Complex.ofRealAm_coe",
+          "start": [
+            259,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Complex/Module.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "Complex.reLm_coe",
+        "id": "Complex.reLm_coe",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            238,
+            6
+          ],
+          "file_path": "Mathlib/Data/Complex/Module.lean",
+          "full_name": "Complex.reLm_coe",
+          "start": [
+            237,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Complex/Module.lean"
+      },
+      {
+        "error": "no internal trace for tactic 'rw [\u2190 map_pow, I_sq, map_neg, map_one]'",
+        "full_name": "Complex.real_algHom_eq_id_or_conj",
+        "id": "Complex.real_algHom_eq_id_or_conj",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            291,
+            30
+          ],
+          "file_path": "Mathlib/Data/Complex/Module.lean",
+          "full_name": "Complex.real_algHom_eq_id_or_conj",
+          "start": [
+            287,
+            1
+          ],
+          "traced_tactics": [
+            {
+              "annotated_tactic": [
+                "\"refine\\n      (<a>eq_or_eq_neg_of_sq_eq_sq<\\/a> (f <a>I<\\/a>) <a>I<\\/a> <| by rw [\\u2190 <a>map_pow<\\/a>, <a>I_sq<\\/a>, <a>map_neg<\\/a>, <a>map_one<\\/a>]).<a>imp<\\/a> ?_ ?_ <;>\\n    refine fun h => <a>algHom_ext<\\/a> ?_\"",
+                "[{\"full_name\":\"eq_or_eq_neg_of_sq_eq_sq\",\"def_path\":\"Mathlib\\/Algebra\\/Ring\\/Commute.lean\",\"def_pos\":[282,7],\"def_end_pos\":[282,31]},{\"full_name\":\"Complex.I\",\"def_path\":\"Mathlib\\/Data\\/Complex\\/Basic.lean\",\"def_pos\":[278,5],\"def_end_pos\":[278,6]},{\"full_name\":\"Complex.I\",\"def_path\":\"Mathlib\\/Data\\/Complex\\/Basic.lean\",\"def_pos\":[278,5],\"def_end_pos\":[278,6]},{\"full_name\":\"map_pow\",\"def_path\":\"Mathlib\\/Algebra\\/Group\\/Hom\\/Defs.lean\",\"def_pos\":[473,9],\"def_end_pos\":[473,16]},{\"full_name\":\"Complex.I_sq\",\"def_path\":\"Mathlib\\/Data\\/Complex\\/Basic.lean\",\"def_pos\":[771,9],\"def_end_pos\":[771,13]},{\"full_name\":\"map_neg\",\"def_path\":\"Mathlib\\/Algebra\\/Group\\/Hom\\/Defs.lean\",\"def_pos\":[437,3],\"def_end_pos\":[437,14]},{\"full_name\":\"map_one\",\"def_path\":\"Mathlib\\/Algebra\\/Group\\/Hom\\/Defs.lean\",\"def_pos\":[204,9],\"def_end_pos\":[204,16]},{\"full_name\":\"Or.imp\",\"def_path\":\".lake\\/packages\\/lean4\\/src\\/lean\\/Init\\/SimpLemmas.lean\",\"def_pos\":[172,9],\"def_end_pos\":[172,15]},{\"full_name\":\"Complex.algHom_ext\",\"def_path\":\"Mathlib\\/Data\\/Complex\\/Module.lean\",\"def_pos\":[126,9],\"def_end_pos\":[126,19]}]"
+              ],
+              "state_after": "case refine_1\nf : \u2102 \u2192\u2090[\u211d] \u2102\nh : f I = I\n\u22a2 f I = (AlgHom.id \u211d \u2102) I\n\ncase refine_2\nf : \u2102 \u2192\u2090[\u211d] \u2102\nh : f I = -I\n\u22a2 f I = \u2191conjAe I",
+              "state_before": "f : \u2102 \u2192\u2090[\u211d] \u2102\n\u22a2 f = AlgHom.id \u211d \u2102 \u2228 f = \u2191conjAe",
+              "tactic": "refine\n    (eq_or_eq_neg_of_sq_eq_sq (f I) I <| by rw [\u2190 map_pow, I_sq, map_neg, map_one]).imp ?_ ?_ <;>\n  refine fun h => algHom_ext ?_"
+            },
+            {
+              "annotated_tactic": [
+                "\"exacts [h, conj_I.symm \\u25b8 h]\"",
+                "[]"
+              ],
+              "state_after": "no goals",
+              "state_before": "case refine_1\nf : \u2102 \u2192\u2090[\u211d] \u2102\nh : f I = I\n\u22a2 f I = (AlgHom.id \u211d \u2102) I\n\ncase refine_2\nf : \u2102 \u2192\u2090[\u211d] \u2102\nh : f I = -I\n\u22a2 f I = \u2191conjAe I",
+              "tactic": "exacts [h, conj_I.symm \u25b8 h]"
+            },
+            {
+              "annotated_tactic": [
+                "\"rw [\\u2190 <a>map_pow<\\/a>, <a>I_sq<\\/a>, <a>map_neg<\\/a>, <a>map_one<\\/a>]\"",
+                "[{\"full_name\":\"map_pow\",\"def_path\":\"Mathlib\\/Algebra\\/Group\\/Hom\\/Defs.lean\",\"def_pos\":[473,9],\"def_end_pos\":[473,16]},{\"full_name\":\"Complex.I_sq\",\"def_path\":\"Mathlib\\/Data\\/Complex\\/Basic.lean\",\"def_pos\":[771,9],\"def_end_pos\":[771,13]},{\"full_name\":\"map_neg\",\"def_path\":\"Mathlib\\/Algebra\\/Group\\/Hom\\/Defs.lean\",\"def_pos\":[437,3],\"def_end_pos\":[437,14]},{\"full_name\":\"map_one\",\"def_path\":\"Mathlib\\/Algebra\\/Group\\/Hom\\/Defs.lean\",\"def_pos\":[204,9],\"def_end_pos\":[204,16]}]"
+              ],
+              "state_after": "no goals",
+              "state_before": "f : \u2102 \u2192\u2090[\u211d] \u2102\n\u22a2 f I ^ 2 = I ^ 2",
+              "tactic": "rw [\u2190 map_pow, I_sq, map_neg, map_one]"
+            }
+          ],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Complex/Module.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "IsSelfAdjoint.coe_realPart",
+        "id": "IsSelfAdjoint.coe_realPart",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            484,
+            33
+          ],
+          "file_path": "Mathlib/Data/Complex/Module.lean",
+          "full_name": "IsSelfAdjoint.coe_realPart",
+          "start": [
+            482,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Complex/Module.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "imaginaryPart_eq_neg_I_smul_skewAdjointPart",
+        "id": "imaginaryPart_eq_neg_I_smul_skewAdjointPart",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            480,
+            6
+          ],
+          "file_path": "Mathlib/Data/Complex/Module.lean",
+          "full_name": "imaginaryPart_eq_neg_I_smul_skewAdjointPart",
+          "start": [
+            478,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Complex/Module.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "imaginaryPart_imaginaryPart",
+        "id": "imaginaryPart_imaginaryPart",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            505,
+            31
+          ],
+          "file_path": "Mathlib/Data/Complex/Module.lean",
+          "full_name": "imaginaryPart_imaginaryPart",
+          "start": [
+            503,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Complex/Module.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "imaginaryPart_realPart",
+        "id": "imaginaryPart_realPart",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            501,
+            31
+          ],
+          "file_path": "Mathlib/Data/Complex/Module.lean",
+          "full_name": "imaginaryPart_realPart",
+          "start": [
+            499,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Complex/Module.lean"
+      },
+      {
+        "error": "no internal trace for tactic 'congrm (\u2111 ($((re_add_im z).symm) \u2022 a))'",
+        "full_name": "imaginaryPart_smul",
+        "id": "imaginaryPart_smul",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            471,
+            44
+          ],
+          "file_path": "Mathlib/Data/Complex/Module.lean",
+          "full_name": "imaginaryPart_smul",
+          "start": [
+            469,
+            1
+          ],
+          "traced_tactics": [
+            {
+              "annotated_tactic": [
+                "\"have := by congrm (\\u2111 ($((<a>re_add_im<\\/a> z).<a>symm<\\/a>) \\u2022 a))\"",
+                "[{\"full_name\":\"Complex.re_add_im\",\"def_path\":\"Mathlib\\/Data\\/Complex\\/Basic.lean\",\"def_pos\":[316,9],\"def_end_pos\":[316,18]},{\"full_name\":\"Eq.symm\",\"def_path\":\".lake\\/packages\\/lean4\\/src\\/lean\\/Init\\/Prelude.lean\",\"def_pos\":[323,9],\"def_end_pos\":[323,16]}]"
+              ],
+              "state_after": "A : Type u_1\ninst\u271d\u00b3 : AddCommGroup A\ninst\u271d\u00b2 : Module \u2102 A\ninst\u271d\u00b9 : StarAddMonoid A\ninst\u271d : StarModule \u2102 A\nz : \u2102\na : A\nthis : \u2111 (z \u2022 a) = \u2111 ((\u2191z.re + \u2191z.im * I) \u2022 a)\n\u22a2 \u2111 (z \u2022 a) = z.re \u2022 \u2111 a + z.im \u2022 \u211c a",
+              "state_before": "A : Type u_1\ninst\u271d\u00b3 : AddCommGroup A\ninst\u271d\u00b2 : Module \u2102 A\ninst\u271d\u00b9 : StarAddMonoid A\ninst\u271d : StarModule \u2102 A\nz : \u2102\na : A\n\u22a2 \u2111 (z \u2022 a) = z.re \u2022 \u2111 a + z.im \u2022 \u211c a",
+              "tactic": "have := by congrm (\u2111 ($((re_add_im z).symm) \u2022 a))"
+            },
+            {
+              "annotated_tactic": [
+                "\"simpa [-<a>re_add_im<\\/a>, <a>add_smul<\\/a>, \\u2190 <a>smul_smul<\\/a>]\"",
+                "[{\"full_name\":\"Complex.re_add_im\",\"def_path\":\"Mathlib\\/Data\\/Complex\\/Basic.lean\",\"def_pos\":[316,9],\"def_end_pos\":[316,18]},{\"full_name\":\"add_smul\",\"def_path\":\"Mathlib\\/Algebra\\/Module\\/Defs.lean\",\"def_pos\":[93,9],\"def_end_pos\":[93,17]},{\"full_name\":\"smul_smul\",\"def_path\":\"Mathlib\\/Algebra\\/Group\\/Action\\/Defs.lean\",\"def_pos\":[446,7],\"def_end_pos\":[446,16]}]"
+              ],
+              "state_after": "no goals",
+              "state_before": "A : Type u_1\ninst\u271d\u00b3 : AddCommGroup A\ninst\u271d\u00b2 : Module \u2102 A\ninst\u271d\u00b9 : StarAddMonoid A\ninst\u271d : StarModule \u2102 A\nz : \u2102\na : A\nthis : \u2111 (z \u2022 a) = \u2111 ((\u2191z.re + \u2191z.im * I) \u2022 a)\n\u22a2 \u2111 (z \u2022 a) = z.re \u2022 \u2111 a + z.im \u2022 \u211c a",
+              "tactic": "simpa [-re_add_im, add_smul, \u2190 smul_smul]"
+            },
+            {
+              "annotated_tactic": [
+                "\"congrm (\\u2111 ($((<a>re_add_im<\\/a> z).<a>symm<\\/a>) \\u2022 a))\"",
+                "[{\"full_name\":\"Complex.re_add_im\",\"def_path\":\"Mathlib\\/Data\\/Complex\\/Basic.lean\",\"def_pos\":[316,9],\"def_end_pos\":[316,18]},{\"full_name\":\"Eq.symm\",\"def_path\":\".lake\\/packages\\/lean4\\/src\\/lean\\/Init\\/Prelude.lean\",\"def_pos\":[323,9],\"def_end_pos\":[323,16]}]"
+              ],
+              "state_after": "no goals",
+              "state_before": "A : Type u_1\ninst\u271d\u00b3 : AddCommGroup A\ninst\u271d\u00b2 : Module \u2102 A\ninst\u271d\u00b9 : StarAddMonoid A\ninst\u271d : StarModule \u2102 A\nz : \u2102\na : A\n\u22a2 ?m.286871",
+              "tactic": "congrm (\u2111 ($((re_add_im z).symm) \u2022 a))"
+            }
+          ],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Complex/Module.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "realPart_comp_subtype_selfAdjoint",
+        "id": "realPart_comp_subtype_selfAdjoint",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            492,
+            45
+          ],
+          "file_path": "Mathlib/Data/Complex/Module.lean",
+          "full_name": "realPart_comp_subtype_selfAdjoint",
+          "start": [
+            490,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Complex/Module.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "realPart_idem",
+        "id": "realPart_idem",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            509,
+            45
+          ],
+          "file_path": "Mathlib/Data/Complex/Module.lean",
+          "full_name": "realPart_idem",
+          "start": [
+            507,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Complex/Module.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "realPart_imaginaryPart",
+        "id": "realPart_imaginaryPart",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            513,
+            45
+          ],
+          "file_path": "Mathlib/Data/Complex/Module.lean",
+          "full_name": "realPart_imaginaryPart",
+          "start": [
+            511,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Complex/Module.lean"
+      },
+      {
+        "error": "no internal trace for tactic 'congrm (\u211c ($((re_add_im z).symm) \u2022 a))'",
+        "full_name": "realPart_smul",
+        "id": "realPart_smul",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            466,
+            60
+          ],
+          "file_path": "Mathlib/Data/Complex/Module.lean",
+          "full_name": "realPart_smul",
+          "start": [
+            464,
+            1
+          ],
+          "traced_tactics": [
+            {
+              "annotated_tactic": [
+                "\"have := by congrm (\\u211c ($((<a>re_add_im<\\/a> z).<a>symm<\\/a>) \\u2022 a))\"",
+                "[{\"full_name\":\"Complex.re_add_im\",\"def_path\":\"Mathlib\\/Data\\/Complex\\/Basic.lean\",\"def_pos\":[316,9],\"def_end_pos\":[316,18]},{\"full_name\":\"Eq.symm\",\"def_path\":\".lake\\/packages\\/lean4\\/src\\/lean\\/Init\\/Prelude.lean\",\"def_pos\":[323,9],\"def_end_pos\":[323,16]}]"
+              ],
+              "state_after": "A : Type u_1\ninst\u271d\u00b3 : AddCommGroup A\ninst\u271d\u00b2 : Module \u2102 A\ninst\u271d\u00b9 : StarAddMonoid A\ninst\u271d : StarModule \u2102 A\nz : \u2102\na : A\nthis : \u211c (z \u2022 a) = \u211c ((\u2191z.re + \u2191z.im * I) \u2022 a)\n\u22a2 \u211c (z \u2022 a) = z.re \u2022 \u211c a - z.im \u2022 \u2111 a",
+              "state_before": "A : Type u_1\ninst\u271d\u00b3 : AddCommGroup A\ninst\u271d\u00b2 : Module \u2102 A\ninst\u271d\u00b9 : StarAddMonoid A\ninst\u271d : StarModule \u2102 A\nz : \u2102\na : A\n\u22a2 \u211c (z \u2022 a) = z.re \u2022 \u211c a - z.im \u2022 \u2111 a",
+              "tactic": "have := by congrm (\u211c ($((re_add_im z).symm) \u2022 a))"
+            },
+            {
+              "annotated_tactic": [
+                "\"simpa [-<a>re_add_im<\\/a>, <a>add_smul<\\/a>, \\u2190 <a>smul_smul<\\/a>, <a>sub_eq_add_neg<\\/a>]\"",
+                "[{\"full_name\":\"Complex.re_add_im\",\"def_path\":\"Mathlib\\/Data\\/Complex\\/Basic.lean\",\"def_pos\":[316,9],\"def_end_pos\":[316,18]},{\"full_name\":\"add_smul\",\"def_path\":\"Mathlib\\/Algebra\\/Module\\/Defs.lean\",\"def_pos\":[93,9],\"def_end_pos\":[93,17]},{\"full_name\":\"smul_smul\",\"def_path\":\"Mathlib\\/Algebra\\/Group\\/Action\\/Defs.lean\",\"def_pos\":[446,7],\"def_end_pos\":[446,16]},{\"full_name\":\"sub_eq_add_neg\",\"def_path\":\"Mathlib\\/Algebra\\/Group\\/Defs.lean\",\"def_pos\":[1057,3],\"def_end_pos\":[1057,14]}]"
+              ],
+              "state_after": "no goals",
+              "state_before": "A : Type u_1\ninst\u271d\u00b3 : AddCommGroup A\ninst\u271d\u00b2 : Module \u2102 A\ninst\u271d\u00b9 : StarAddMonoid A\ninst\u271d : StarModule \u2102 A\nz : \u2102\na : A\nthis : \u211c (z \u2022 a) = \u211c ((\u2191z.re + \u2191z.im * I) \u2022 a)\n\u22a2 \u211c (z \u2022 a) = z.re \u2022 \u211c a - z.im \u2022 \u2111 a",
+              "tactic": "simpa [-re_add_im, add_smul, \u2190 smul_smul, sub_eq_add_neg]"
+            },
+            {
+              "annotated_tactic": [
+                "\"congrm (\\u211c ($((<a>re_add_im<\\/a> z).<a>symm<\\/a>) \\u2022 a))\"",
+                "[{\"full_name\":\"Complex.re_add_im\",\"def_path\":\"Mathlib\\/Data\\/Complex\\/Basic.lean\",\"def_pos\":[316,9],\"def_end_pos\":[316,18]},{\"full_name\":\"Eq.symm\",\"def_path\":\".lake\\/packages\\/lean4\\/src\\/lean\\/Init\\/Prelude.lean\",\"def_pos\":[323,9],\"def_end_pos\":[323,16]}]"
+              ],
+              "state_after": "no goals",
+              "state_before": "A : Type u_1\ninst\u271d\u00b3 : AddCommGroup A\ninst\u271d\u00b2 : Module \u2102 A\ninst\u271d\u00b9 : StarAddMonoid A\ninst\u271d : StarModule \u2102 A\nz : \u2102\na : A\n\u22a2 ?m.243334",
+              "tactic": "congrm (\u211c ($((re_add_im z).symm) \u2022 a))"
+            }
+          ],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Complex/Module.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "realPart_surjective",
+        "id": "realPart_surjective",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            516,
+            57
+          ],
+          "file_path": "Mathlib/Data/Complex/Module.lean",
+          "full_name": "realPart_surjective",
+          "start": [
+            515,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Complex/Module.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "Complex.le_def",
+        "id": "Complex.le_def",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            56,
+            10
+          ],
+          "file_path": "Mathlib/Data/Complex/Order.lean",
+          "full_name": "Complex.le_def",
+          "start": [
+            55,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Complex/Order.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "Complex.lt_def",
+        "id": "Complex.lt_def",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            60,
+            10
+          ],
+          "file_path": "Mathlib/Data/Complex/Order.lean",
+          "full_name": "Complex.lt_def",
+          "start": [
+            59,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Complex/Order.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "Complex.nonneg_iff",
+        "id": "Complex.nonneg_iff",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            64,
+            9
+          ],
+          "file_path": "Mathlib/Data/Complex/Order.lean",
+          "full_name": "Complex.nonneg_iff",
+          "start": [
+            63,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Complex/Order.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "Complex.not_le_zero_iff",
+        "id": "Complex.not_le_zero_iff",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            96,
+            13
+          ],
+          "file_path": "Mathlib/Data/Complex/Order.lean",
+          "full_name": "Complex.not_le_zero_iff",
+          "start": [
+            95,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Complex/Order.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "Complex.not_lt_zero_iff",
+        "id": "Complex.not_lt_zero_iff",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            100,
+            13
+          ],
+          "file_path": "Mathlib/Data/Complex/Order.lean",
+          "full_name": "Complex.not_lt_zero_iff",
+          "start": [
+            99,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Complex/Order.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "Complex.pos_iff",
+        "id": "Complex.pos_iff",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            67,
+            9
+          ],
+          "file_path": "Mathlib/Data/Complex/Order.lean",
+          "full_name": "Complex.pos_iff",
+          "start": [
+            66,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Complex/Order.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "Complex.zero_le_real",
+        "id": "Complex.zero_le_real",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            79,
+            15
+          ],
+          "file_path": "Mathlib/Data/Complex/Order.lean",
+          "full_name": "Complex.zero_le_real",
+          "start": [
+            78,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Complex/Order.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "Complex.zero_lt_real",
+        "id": "Complex.zero_lt_real",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            84,
+            15
+          ],
+          "file_path": "Mathlib/Data/Complex/Order.lean",
+          "full_name": "Complex.zero_lt_real",
+          "start": [
+            83,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Complex/Order.lean"
+      }
+    ],
+    "input_proofs": 57,
+    "input_units": 2,
+    "proofs": 26,
+    "published_proofs": 25,
+    "published_transitions": 38,
+    "replay_failures": [],
+    "transitions": 41,
+    "validation_failures": [
+      {
+        "errors": [
+          "internal transition boundary mismatch"
+        ],
+        "file_path": "Mathlib/Data/Complex/Module.lean",
+        "proof_id": "mathlib:Complex.coe_realPart",
+        "provenance": {
+          "selection": {
+            "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+            "end": [
+              558,
+              34
+            ],
+            "file_path": "Mathlib/Data/Complex/Module.lean",
+            "full_name": "Complex.coe_realPart",
+            "start": [
+              554,
+              1
+            ],
+            "traced_tactics": [
+              {
+                "annotated_tactic": [
+                  "\"congrm (\\u211c $((<a>re_add_im<\\/a> z).<a>symm<\\/a>))\"",
+                  "[{\"full_name\":\"Complex.re_add_im\",\"def_path\":\"Mathlib\\/Data\\/Complex\\/Basic.lean\",\"def_pos\":[316,9],\"def_end_pos\":[316,18]},{\"full_name\":\"Eq.symm\",\"def_path\":\".lake\\/packages\\/lean4\\/src\\/lean\\/Init\\/Prelude.lean\",\"def_pos\":[323,9],\"def_end_pos\":[323,16]}]"
+                ],
+                "state_after": "no goals",
+                "state_before": "A : Type u_1\ninst\u271d\u00b3 : AddCommGroup A\ninst\u271d\u00b2 : Module \u2102 A\ninst\u271d\u00b9 : StarAddMonoid A\ninst\u271d : StarModule \u2102 A\nz : \u2102\n\u22a2 \u2191(\u211c z) = ?m.418209",
+                "tactic": "congrm (\u211c $((re_add_im z).symm))"
+              },
+              {
+                "annotated_tactic": [
+                  "\"rw [<a>map_add<\\/a>, <a>AddSubmonoid.coe_add<\\/a>, <a>mul_comm<\\/a>, \\u2190 <a>smul_eq_mul<\\/a>, <a>realPart_I_smul<\\/a>]\"",
+                  "[{\"full_name\":\"map_add\",\"def_path\":\"Mathlib\\/Algebra\\/Group\\/Hom\\/Defs.lean\",\"def_pos\":[308,3],\"def_end_pos\":[308,14]},{\"full_name\":\"AddSubmonoid.coe_add\",\"def_path\":\"Mathlib\\/Algebra\\/Group\\/Submonoid\\/Operations.lean\",\"def_pos\":[633,3],\"def_end_pos\":[633,14]},{\"full_name\":\"mul_comm\",\"def_path\":\"Mathlib\\/Algebra\\/Group\\/Defs.lean\",\"def_pos\":[332,9],\"def_end_pos\":[332,17]},{\"full_name\":\"smul_eq_mul\",\"def_path\":\"Mathlib\\/Algebra\\/Group\\/Action\\/Defs.lean\",\"def_pos\":[89,7],\"def_end_pos\":[89,18]},{\"full_name\":\"realPart_I_smul\",\"def_path\":\"Mathlib\\/Data\\/Complex\\/Module.lean\",\"def_pos\":[445,9],\"def_end_pos\":[445,24]}]"
+                ],
+                "state_after": "A : Type u_1\ninst\u271d\u00b3 : AddCommGroup A\ninst\u271d\u00b2 : Module \u2102 A\ninst\u271d\u00b9 : StarAddMonoid A\ninst\u271d : StarModule \u2102 A\nz : \u2102\n\u22a2 \u2191(\u211c \u2191z.re) + \u2191(-\u2111 \u2191z.im) = \u2191z.re",
+                "state_before": "A : Type u_1\ninst\u271d\u00b3 : AddCommGroup A\ninst\u271d\u00b2 : Module \u2102 A\ninst\u271d\u00b9 : StarAddMonoid A\ninst\u271d : StarModule \u2102 A\nz : \u2102\n\u22a2 \u2191(\u211c (\u2191z.re + \u2191z.im * I)) = \u2191z.re",
+                "tactic": "rw [map_add, AddSubmonoid.coe_add, mul_comm, \u2190 smul_eq_mul, realPart_I_smul]"
+              },
+              {
+                "annotated_tactic": [
+                  "\"simp [<a>conj_ofReal<\\/a>, \\u2190 <a>two_mul<\\/a>]\"",
+                  "[{\"full_name\":\"Complex.conj_ofReal\",\"def_path\":\"Mathlib\\/Data\\/Complex\\/Basic.lean\",\"def_pos\":[572,9],\"def_end_pos\":[572,20]},{\"full_name\":\"two_mul\",\"def_path\":\"Mathlib\\/Algebra\\/Ring\\/Defs.lean\",\"def_pos\":[179,9],\"def_end_pos\":[179,16]}]"
+                ],
+                "state_after": "no goals",
+                "state_before": "A : Type u_1\ninst\u271d\u00b3 : AddCommGroup A\ninst\u271d\u00b2 : Module \u2102 A\ninst\u271d\u00b9 : StarAddMonoid A\ninst\u271d : StarModule \u2102 A\nz : \u2102\n\u22a2 \u2191(\u211c \u2191z.re) + \u2191(-\u2111 \u2191z.im) = \u2191z.re",
+                "tactic": "simp [conj_ofReal, \u2190 two_mul]"
+              }
+            ],
+            "url": "https://github.com/leanprover-community/mathlib4"
+          }
+        },
+        "theorem_name": "Complex.coe_realPart"
+      }
+    ],
+    "validation_rejected_proofs": 1,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/mathlib-000882-0000-0d3dbdd699a544b5.parquet",
+      "sha256": "0d3dbdd699a544b544077797302de166cd663e60c91ef31b77958069709d4944",
+      "bytes": 172812,
+      "rows": 36,
+      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
+    },
+    {
+      "path": "data/dev/mathlib-000882-0000-06a38e2774bf350c.parquet",
+      "sha256": "06a38e2774bf350cf4949fa9f881c20b93bbffa9c7e9bbc086a3093f81876d38",
+      "bytes": 45905,
+      "rows": 1,
+      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
+    },
+    {
+      "path": "data/internal_test/mathlib-000882-0000-d2070f2d133c2dbd.parquet",
+      "sha256": "d2070f2d133c2dbd254125f6be3d77f1219de71e70ed3b7e143be78dd3b8573b",
+      "bytes": 29371,
+      "rows": 1,
+      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
+    }
+  ],
+  "proof_ids": [
+    "mathlib:Complex.algHom_ext",
+    "mathlib:Complex.coe_selfAdjointEquiv",
+    "mathlib:Complex.eq_re_of_ofReal_le",
+    "mathlib:Complex.liftAux_apply_I",
+    "mathlib:Complex.neg_re_eq_abs",
+    "mathlib:Complex.not_lt_iff",
+    "mathlib:Complex.re_eq_abs",
+    "mathlib:Complex.re_eq_neg_abs",
+    "mathlib:Complex.real_le_real",
+    "mathlib:Complex.real_lt_real",
+    "mathlib:Complex.toMatrix_conjAe",
+    "mathlib:IsSelfAdjoint.imaginaryPart",
+    "mathlib:imaginaryPart_I_smul",
+    "mathlib:imaginaryPart_apply_coe",
+    "mathlib:imaginaryPart_comp_subtype_selfAdjoint",
+    "mathlib:imaginaryPart_ofReal",
+    "mathlib:imaginaryPart_surjective",
+    "mathlib:realPart_I_smul",
+    "mathlib:realPart_add_I_smul_imaginaryPart",
+    "mathlib:realPart_apply_coe",
+    "mathlib:realPart_ofReal",
+    "mathlib:skewAdjoint.I_smul_neg_I",
+    "mathlib:skewAdjointPart_eq_I_smul_imaginaryPart",
+    "mathlib:span_selfAdjoint",
+    "mathlib:star_mul_self_add_self_mul_star"
+  ],
+  "proof_keys": [
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/Module.lean\",null,null,\"Complex.algHom_ext\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/Module.lean\",null,null,\"Complex.coe_selfAdjointEquiv\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/Module.lean\",null,null,\"Complex.liftAux_apply_I\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/Module.lean\",null,null,\"Complex.toMatrix_conjAe\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/Module.lean\",null,null,\"IsSelfAdjoint.imaginaryPart\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/Module.lean\",null,null,\"imaginaryPart_I_smul\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/Module.lean\",null,null,\"imaginaryPart_apply_coe\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/Module.lean\",null,null,\"imaginaryPart_comp_subtype_selfAdjoint\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/Module.lean\",null,null,\"imaginaryPart_ofReal\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/Module.lean\",null,null,\"imaginaryPart_surjective\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/Module.lean\",null,null,\"realPart_I_smul\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/Module.lean\",null,null,\"realPart_add_I_smul_imaginaryPart\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/Module.lean\",null,null,\"realPart_apply_coe\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/Module.lean\",null,null,\"realPart_ofReal\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/Module.lean\",null,null,\"skewAdjoint.I_smul_neg_I\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/Module.lean\",null,null,\"skewAdjointPart_eq_I_smul_imaginaryPart\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/Module.lean\",null,null,\"span_selfAdjoint\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/Module.lean\",null,null,\"star_mul_self_add_self_mul_star\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/Order.lean\",null,null,\"Complex.eq_re_of_ofReal_le\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/Order.lean\",null,null,\"Complex.neg_re_eq_abs\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/Order.lean\",null,null,\"Complex.not_lt_iff\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/Order.lean\",null,null,\"Complex.re_eq_abs\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/Order.lean\",null,null,\"Complex.re_eq_neg_abs\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/Order.lean\",null,null,\"Complex.real_le_real\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Complex/Order.lean\",null,null,\"Complex.real_lt_real\"]"
+  ]
+}

manifests/batches/mathlib/000883.json

@@ -0,0 +1,480 @@
+{
+  "format": "leangpt-parquet-v2",
+  "batch": "mathlib/000883",
+  "batch_fingerprint": "e26db3b5b4cff0eddfbcf9b8de4c76696152677de5cae45aed11476799b58517",
+  "evidence": {
+    "batch_fingerprint": "e26db3b5b4cff0eddfbcf9b8de4c76696152677de5cae45aed11476799b58517",
+    "contamination_matches": [],
+    "failures": [
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "Function.Embedding.countable",
+        "id": "Function.Embedding.countable",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            46,
+            24
+          ],
+          "file_path": "Mathlib/Data/Countable/Basic.lean",
+          "full_name": "Function.Embedding.countable",
+          "start": [
+            45,
+            11
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Countable/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "Function.Embedding.uncountable",
+        "id": "Function.Embedding.uncountable",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            50,
+            26
+          ],
+          "file_path": "Mathlib/Data/Countable/Basic.lean",
+          "full_name": "Function.Embedding.uncountable",
+          "start": [
+            49,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Countable/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "Sigma.uncountable",
+        "id": "Sigma.uncountable",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            98,
+            44
+          ],
+          "file_path": "Mathlib/Data/Countable/Basic.lean",
+          "full_name": "Sigma.uncountable",
+          "start": [
+            97,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Countable/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "countable_iff_nonempty_embedding",
+        "id": "countable_iff_nonempty_embedding",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            35,
+            54
+          ],
+          "file_path": "Mathlib/Data/Countable/Basic.lean",
+          "full_name": "countable_iff_nonempty_embedding",
+          "start": [
+            34,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Countable/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "nonempty_embedding_nat",
+        "id": "nonempty_embedding_nat",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            42,
+            41
+          ],
+          "file_path": "Mathlib/Data/Countable/Basic.lean",
+          "full_name": "nonempty_embedding_nat",
+          "start": [
+            41,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Countable/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "Countable.exists_injective_nat",
+        "id": "Countable.exists_injective_nat",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            45,
+            34
+          ],
+          "file_path": "Mathlib/Data/Countable/Defs.lean",
+          "full_name": "Countable.exists_injective_nat",
+          "start": [
+            44,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Countable/Defs.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "Countable.of_equiv",
+        "id": "Countable.of_equiv",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            73,
+            29
+          ],
+          "file_path": "Mathlib/Data/Countable/Defs.lean",
+          "full_name": "Countable.of_equiv",
+          "start": [
+            72,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Countable/Defs.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "Equiv.countable_iff",
+        "id": "Equiv.countable_iff",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            77,
+            84
+          ],
+          "file_path": "Mathlib/Data/Countable/Defs.lean",
+          "full_name": "Equiv.countable_iff",
+          "start": [
+            76,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Countable/Defs.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "Equiv.uncountable_iff",
+        "id": "Equiv.uncountable_iff",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            167,
+            88
+          ],
+          "file_path": "Mathlib/Data/Countable/Defs.lean",
+          "full_name": "Equiv.uncountable_iff",
+          "start": [
+            166,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Countable/Defs.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "Function.Injective.countable",
+        "id": "Function.Injective.countable",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            55,
+            24
+          ],
+          "file_path": "Mathlib/Data/Countable/Defs.lean",
+          "full_name": "Function.Injective.countable",
+          "start": [
+            52,
+            11
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Countable/Defs.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "Function.Injective.uncountable",
+        "id": "Function.Injective.uncountable",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            147,
+            39
+          ],
+          "file_path": "Mathlib/Data/Countable/Defs.lean",
+          "full_name": "Function.Injective.uncountable",
+          "start": [
+            145,
+            11
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Countable/Defs.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "Function.Surjective.uncountable",
+        "id": "Function.Surjective.uncountable",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            150,
+            56
+          ],
+          "file_path": "Mathlib/Data/Countable/Defs.lean",
+          "full_name": "Function.Surjective.uncountable",
+          "start": [
+            149,
+            11
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Countable/Defs.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "Uncountable.of_equiv",
+        "id": "Uncountable.of_equiv",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            164,
+            26
+          ],
+          "file_path": "Mathlib/Data/Countable/Defs.lean",
+          "full_name": "Uncountable.of_equiv",
+          "start": [
+            163,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Countable/Defs.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "countable_iff_exists_surjective",
+        "id": "countable_iff_exists_surjective",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            69,
+            59
+          ],
+          "file_path": "Mathlib/Data/Countable/Defs.lean",
+          "full_name": "countable_iff_exists_surjective",
+          "start": [
+            68,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Countable/Defs.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "exists_surjective_nat",
+        "id": "exists_surjective_nat",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            65,
+            35
+          ],
+          "file_path": "Mathlib/Data/Countable/Defs.lean",
+          "full_name": "exists_surjective_nat",
+          "start": [
+            63,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Countable/Defs.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "not_countable",
+        "id": "not_countable",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            143,
+            80
+          ],
+          "file_path": "Mathlib/Data/Countable/Defs.lean",
+          "full_name": "not_countable",
+          "start": [
+            142,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Countable/Defs.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "not_countable_iff",
+        "id": "not_countable_iff",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            137,
+            97
+          ],
+          "file_path": "Mathlib/Data/Countable/Defs.lean",
+          "full_name": "not_countable_iff",
+          "start": [
+            137,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Countable/Defs.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "not_injective_uncountable_countable",
+        "id": "not_injective_uncountable_countable",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            153,
+            56
+          ],
+          "file_path": "Mathlib/Data/Countable/Defs.lean",
+          "full_name": "not_injective_uncountable_countable",
+          "start": [
+            152,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Countable/Defs.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "not_surjective_countable_uncountable",
+        "id": "not_surjective_countable_uncountable",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            157,
+            29
+          ],
+          "file_path": "Mathlib/Data/Countable/Defs.lean",
+          "full_name": "not_surjective_countable_uncountable",
+          "start": [
+            155,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Countable/Defs.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "not_uncountable",
+        "id": "not_uncountable",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            140,
+            82
+          ],
+          "file_path": "Mathlib/Data/Countable/Defs.lean",
+          "full_name": "not_uncountable",
+          "start": [
+            139,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/Countable/Defs.lean"
+      }
+    ],
+    "input_proofs": 23,
+    "input_units": 2,
+    "proofs": 3,
+    "published_proofs": 3,
+    "published_transitions": 3,
+    "replay_failures": [],
+    "transitions": 3,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/mathlib-000883-0000-199f7adf3d6f9228.parquet",
+      "sha256": "199f7adf3d6f922845933f759e8d94311c413a63dd2c66a27da9d5d83f6be1d7",
+      "bytes": 48197,
+      "rows": 3,
+      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
+    }
+  ],
+  "proof_ids": [
+    "mathlib:not_uncountable_iff",
+    "mathlib:uncountable_iff_forall_not_surjective",
+    "mathlib:uncountable_iff_isEmpty_embedding"
+  ],
+  "proof_keys": [
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Countable/Basic.lean\",null,null,\"uncountable_iff_isEmpty_embedding\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Countable/Defs.lean\",null,null,\"not_uncountable_iff\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/Countable/Defs.lean\",null,null,\"uncountable_iff_forall_not_surjective\"]"
+  ]
+}

manifests/batches/mathlib/000885.json

@@ -0,0 +1,461 @@
+{
+  "format": "leangpt-parquet-v2",
+  "batch": "mathlib/000885",
+  "batch_fingerprint": "6f25286ab2f291ca3d483239c87cc9da052e9074d7192695eb74969b3d8614ee",
+  "evidence": {
+    "batch_fingerprint": "6f25286ab2f291ca3d483239c87cc9da052e9074d7192695eb74969b3d8614ee",
+    "contamination_matches": [],
+    "failures": [
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "DFinsupp.lex_def",
+        "id": "DFinsupp.lex_def",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            45,
+            10
+          ],
+          "file_path": "Mathlib/Data/DFinsupp/Lex.lean",
+          "full_name": "DFinsupp.lex_def",
+          "start": [
+            43,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/DFinsupp/Lex.lean"
+      },
+      {
+        "error": "no internal trace for tactic 'have : (x.neLocus y : Set \u03b9).WellFoundedOn r := (x.neLocus y).finite_toSet.wellFoundedOn'",
+        "full_name": "DFinsupp.lex_lt_of_lt_of_preorder",
+        "id": "DFinsupp.lex_lt_of_lt_of_preorder",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            58,
+            99
+          ],
+          "file_path": "Mathlib/Data/DFinsupp/Lex.lean",
+          "full_name": "DFinsupp.lex_lt_of_lt_of_preorder",
+          "start": [
+            51,
+            1
+          ],
+          "traced_tactics": [
+            {
+              "annotated_tactic": [
+                "\"obtain \\u27e8hle, j, hlt\\u27e9 := <a>Pi.lt_def<\\/a>.1 hlt\"",
+                "[{\"full_name\":\"Pi.lt_def\",\"def_path\":\"Mathlib\\/Order\\/Basic.lean\",\"def_pos\":[903,9],\"def_end_pos\":[903,18]}]"
+              ],
+              "state_after": "case intro.intro\n\u03b9 : Type u_1\n\u03b1 : \u03b9 \u2192 Type u_2\ninst\u271d\u00b2 : (i : \u03b9) \u2192 Zero (\u03b1 i)\ninst\u271d\u00b9 : (i : \u03b9) \u2192 Preorder (\u03b1 i)\nr : \u03b9 \u2192 \u03b9 \u2192 Prop\ninst\u271d : IsStrictOrder \u03b9 r\nx y : \u03a0\u2080 (i : \u03b9), \u03b1 i\nhlt\u271d : x < y\nhle : \u21d1x \u2264 \u21d1y\nj : \u03b9\nhlt : x j < y j\n\u22a2 \u2203 i, (\u2200 (j : \u03b9), r j i \u2192 x j \u2264 y j \u2227 y j \u2264 x j) \u2227 x i < y i",
+              "state_before": "\u03b9 : Type u_1\n\u03b1 : \u03b9 \u2192 Type u_2\ninst\u271d\u00b2 : (i : \u03b9) \u2192 Zero (\u03b1 i)\ninst\u271d\u00b9 : (i : \u03b9) \u2192 Preorder (\u03b1 i)\nr : \u03b9 \u2192 \u03b9 \u2192 Prop\ninst\u271d : IsStrictOrder \u03b9 r\nx y : \u03a0\u2080 (i : \u03b9), \u03b1 i\nhlt : x < y\n\u22a2 \u2203 i, (\u2200 (j : \u03b9), r j i \u2192 x j \u2264 y j \u2227 y j \u2264 x j) \u2227 x i < y i",
+              "tactic": "obtain \u27e8hle, j, hlt\u27e9 := Pi.lt_def.1 hlt"
+            },
+            {
+              "annotated_tactic": [
+                "\"classical\\n  have : (x.neLocus y : <a>Set<\\/a> \\u03b9).<a>WellFoundedOn<\\/a> r := (x.neLocus y).finite_toSet.wellFoundedOn\\n  obtain \\u27e8i, hi, hl\\u27e9 := this.has_min { i | x i < y i } \\u27e8\\u27e8j, <a>mem_neLocus<\\/a>.2 hlt.ne\\u27e9, hlt\\u27e9\\n  refine \\u27e8i, fun k hk \\u21a6 \\u27e8hle k, ?_\\u27e9, hi\\u27e9\\n  exact <a>of_not_not<\\/a> fun h \\u21a6 hl \\u27e8k, <a>mem_neLocus<\\/a>.2 (<a>ne_of_not_le<\\/a> h).<a>symm<\\/a>\\u27e9 ((hle k).<a>lt_of_not_le<\\/a> h) hk\"",
+                "[{\"full_name\":\"Set\",\"def_path\":\"Mathlib\\/Init\\/Set.lean\",\"def_pos\":[47,5],\"def_end_pos\":[47,8]},{\"full_name\":\"Set.WellFoundedOn\",\"def_path\":\"Mathlib\\/Order\\/WellFoundedSet.lean\",\"def_pos\":[60,5],\"def_end_pos\":[60,18]},{\"full_name\":\"DFinsupp.mem_neLocus\",\"def_path\":\"Mathlib\\/Data\\/DFinsupp\\/NeLocus.lean\",\"def_pos\":[41,9],\"def_end_pos\":[41,20]},{\"full_name\":\"of_not_not\",\"def_path\":\"Mathlib\\/Logic\\/Basic.lean\",\"def_pos\":[255,9],\"def_end_pos\":[255,19]},{\"full_name\":\"DFinsupp.mem_neLocus\",\"def_path\":\"Mathlib\\/Data\\/DFinsupp\\/NeLocus.lean\",\"def_pos\":[41,9],\"def_end_pos\":[41,20]},{\"full_name\":\"ne_of_not_le\",\"def_path\":\"Mathlib\\/Order\\/Basic.lean\",\"def_pos\":[348,9],\"def_end_pos\":[348,21]},{\"full_name\":\"Ne.symm\",\"def_path\":\".lake\\/packages\\/lean4\\/src\\/lean\\/Init\\/Core.lean\",\"def_pos\":[704,9],\"def_end_pos\":[704,16]},{\"full_name\":\"LE.le.lt_of_not_le\",\"def_path\":\"Mathlib\\/Order\\/Basic.lean\",\"def_pos\":[131,7],\"def_end_pos\":[131,25]}]"
+              ],
+              "state_after": "no goals",
+              "state_before": "case intro.intro\n\u03b9 : Type u_1\n\u03b1 : \u03b9 \u2192 Type u_2\ninst\u271d\u00b2 : (i : \u03b9) \u2192 Zero (\u03b1 i)\ninst\u271d\u00b9 : (i : \u03b9) \u2192 Preorder (\u03b1 i)\nr : \u03b9 \u2192 \u03b9 \u2192 Prop\ninst\u271d : IsStrictOrder \u03b9 r\nx y : \u03a0\u2080 (i : \u03b9), \u03b1 i\nhlt\u271d : x < y\nhle : \u21d1x \u2264 \u21d1y\nj : \u03b9\nhlt : x j < y j\n\u22a2 \u2203 i, (\u2200 (j : \u03b9), r j i \u2192 x j \u2264 y j \u2227 y j \u2264 x j) \u2227 x i < y i",
+              "tactic": "classical\nhave : (x.neLocus y : Set \u03b9).WellFoundedOn r := (x.neLocus y).finite_toSet.wellFoundedOn\nobtain \u27e8i, hi, hl\u27e9 := this.has_min { i | x i < y i } \u27e8\u27e8j, mem_neLocus.2 hlt.ne\u27e9, hlt\u27e9\nrefine \u27e8i, fun k hk \u21a6 \u27e8hle k, ?_\u27e9, hi\u27e9\nexact of_not_not fun h \u21a6 hl \u27e8k, mem_neLocus.2 (ne_of_not_le h).symm\u27e9 ((hle k).lt_of_not_le h) hk"
+            },
+            {
+              "annotated_tactic": [
+                "\"have : (x.neLocus y : <a>Set<\\/a> \\u03b9).<a>WellFoundedOn<\\/a> r := (x.neLocus y).finite_toSet.wellFoundedOn\"",
+                "[{\"full_name\":\"Set\",\"def_path\":\"Mathlib\\/Init\\/Set.lean\",\"def_pos\":[47,5],\"def_end_pos\":[47,8]},{\"full_name\":\"Set.WellFoundedOn\",\"def_path\":\"Mathlib\\/Order\\/WellFoundedSet.lean\",\"def_pos\":[60,5],\"def_end_pos\":[60,18]}]"
+              ],
+              "state_after": "case intro.intro\n\u03b9 : Type u_1\n\u03b1 : \u03b9 \u2192 Type u_2\ninst\u271d\u00b2 : (i : \u03b9) \u2192 Zero (\u03b1 i)\ninst\u271d\u00b9 : (i : \u03b9) \u2192 Preorder (\u03b1 i)\nr : \u03b9 \u2192 \u03b9 \u2192 Prop\ninst\u271d : IsStrictOrder \u03b9 r\nx y : \u03a0\u2080 (i : \u03b9), \u03b1 i\nhlt\u271d : x < y\nhle : \u21d1x \u2264 \u21d1y\nj : \u03b9\nhlt : x j < y j\nthis : (\u2191(x.neLocus y)).WellFoundedOn r\n\u22a2 \u2203 i, (\u2200 (j : \u03b9), r j i \u2192 x j \u2264 y j \u2227 y j \u2264 x j) \u2227 x i < y i",
+              "state_before": "case intro.intro\n\u03b9 : Type u_1\n\u03b1 : \u03b9 \u2192 Type u_2\ninst\u271d\u00b2 : (i : \u03b9) \u2192 Zero (\u03b1 i)\ninst\u271d\u00b9 : (i : \u03b9) \u2192 Preorder (\u03b1 i)\nr : \u03b9 \u2192 \u03b9 \u2192 Prop\ninst\u271d : IsStrictOrder \u03b9 r\nx y : \u03a0\u2080 (i : \u03b9), \u03b1 i\nhlt\u271d : x < y\nhle : \u21d1x \u2264 \u21d1y\nj : \u03b9\nhlt : x j < y j\n\u22a2 \u2203 i, (\u2200 (j : \u03b9), r j i \u2192 x j \u2264 y j \u2227 y j \u2264 x j) \u2227 x i < y i",
+              "tactic": "have : (x.neLocus y : Set \u03b9).WellFoundedOn r := (x.neLocus y).finite_toSet.wellFoundedOn"
+            },
+            {
+              "annotated_tactic": [
+                "\"obtain \\u27e8i, hi, hl\\u27e9 := this.has_min { i | x i < y i } \\u27e8\\u27e8j, <a>mem_neLocus<\\/a>.2 hlt.ne\\u27e9, hlt\\u27e9\"",
+                "[{\"full_name\":\"DFinsupp.mem_neLocus\",\"def_path\":\"Mathlib\\/Data\\/DFinsupp\\/NeLocus.lean\",\"def_pos\":[41,9],\"def_end_pos\":[41,20]}]"
+              ],
+              "state_after": "case intro.intro.intro.intro\n\u03b9 : Type u_1\n\u03b1 : \u03b9 \u2192 Type u_2\ninst\u271d\u00b2 : (i : \u03b9) \u2192 Zero (\u03b1 i)\ninst\u271d\u00b9 : (i : \u03b9) \u2192 Preorder (\u03b1 i)\nr : \u03b9 \u2192 \u03b9 \u2192 Prop\ninst\u271d : IsStrictOrder \u03b9 r\nx y : \u03a0\u2080 (i : \u03b9), \u03b1 i\nhlt\u271d : x < y\nhle : \u21d1x \u2264 \u21d1y\nj : \u03b9\nhlt : x j < y j\nthis : (\u2191(x.neLocus y)).WellFoundedOn r\ni : \u2191\u2191(x.neLocus y)\nhi : i \u2208 {i | x \u2191i < y \u2191i}\nhl : \u2200 x_1 \u2208 {i | x \u2191i < y \u2191i}, \u00acr \u2191x_1 \u2191i\n\u22a2 \u2203 i, (\u2200 (j : \u03b9), r j i \u2192 x j \u2264 y j \u2227 y j \u2264 x j) \u2227 x i < y i",
+              "state_before": "case intro.intro\n\u03b9 : Type u_1\n\u03b1 : \u03b9 \u2192 Type u_2\ninst\u271d\u00b2 : (i : \u03b9) \u2192 Zero (\u03b1 i)\ninst\u271d\u00b9 : (i : \u03b9) \u2192 Preorder (\u03b1 i)\nr : \u03b9 \u2192 \u03b9 \u2192 Prop\ninst\u271d : IsStrictOrder \u03b9 r\nx y : \u03a0\u2080 (i : \u03b9), \u03b1 i\nhlt\u271d : x < y\nhle : \u21d1x \u2264 \u21d1y\nj : \u03b9\nhlt : x j < y j\nthis : (\u2191(x.neLocus y)).WellFoundedOn r\n\u22a2 \u2203 i, (\u2200 (j : \u03b9), r j i \u2192 x j \u2264 y j \u2227 y j \u2264 x j) \u2227 x i < y i",
+              "tactic": "obtain \u27e8i, hi, hl\u27e9 := this.has_min { i | x i < y i } \u27e8\u27e8j, mem_neLocus.2 hlt.ne\u27e9, hlt\u27e9"
+            },
+            {
+              "annotated_tactic": [
+                "\"refine \\u27e8i, fun k hk \\u21a6 \\u27e8hle k, ?_\\u27e9, hi\\u27e9\"",
+                "[]"
+              ],
+              "state_after": "case intro.intro.intro.intro\n\u03b9 : Type u_1\n\u03b1 : \u03b9 \u2192 Type u_2\ninst\u271d\u00b2 : (i : \u03b9) \u2192 Zero (\u03b1 i)\ninst\u271d\u00b9 : (i : \u03b9) \u2192 Preorder (\u03b1 i)\nr : \u03b9 \u2192 \u03b9 \u2192 Prop\ninst\u271d : IsStrictOrder \u03b9 r\nx y : \u03a0\u2080 (i : \u03b9), \u03b1 i\nhlt\u271d : x < y\nhle : \u21d1x \u2264 \u21d1y\nj : \u03b9\nhlt : x j < y j\nthis : (\u2191(x.neLocus y)).WellFoundedOn r\ni : \u2191\u2191(x.neLocus y)\nhi : i \u2208 {i | x \u2191i < y \u2191i}\nhl : \u2200 x_1 \u2208 {i | x \u2191i < y \u2191i}, \u00acr \u2191x_1 \u2191i\nk : \u03b9\nhk : r k \u2191i\n\u22a2 y k \u2264 x k",
+              "state_before": "case intro.intro.intro.intro\n\u03b9 : Type u_1\n\u03b1 : \u03b9 \u2192 Type u_2\ninst\u271d\u00b2 : (i : \u03b9) \u2192 Zero (\u03b1 i)\ninst\u271d\u00b9 : (i : \u03b9) \u2192 Preorder (\u03b1 i)\nr : \u03b9 \u2192 \u03b9 \u2192 Prop\ninst\u271d : IsStrictOrder \u03b9 r\nx y : \u03a0\u2080 (i : \u03b9), \u03b1 i\nhlt\u271d : x < y\nhle : \u21d1x \u2264 \u21d1y\nj : \u03b9\nhlt : x j < y j\nthis : (\u2191(x.neLocus y)).WellFoundedOn r\ni : \u2191\u2191(x.neLocus y)\nhi : i \u2208 {i | x \u2191i < y \u2191i}\nhl : \u2200 x_1 \u2208 {i | x \u2191i < y \u2191i}, \u00acr \u2191x_1 \u2191i\n\u22a2 \u2203 i, (\u2200 (j : \u03b9), r j i \u2192 x j \u2264 y j \u2227 y j \u2264 x j) \u2227 x i < y i",
+              "tactic": "refine \u27e8i, fun k hk \u21a6 \u27e8hle k, ?_\u27e9, hi\u27e9"
+            },
+            {
+              "annotated_tactic": [
+                "\"exact <a>of_not_not<\\/a> fun h \\u21a6 hl \\u27e8k, <a>mem_neLocus<\\/a>.2 (<a>ne_of_not_le<\\/a> h).<a>symm<\\/a>\\u27e9 ((hle k).<a>lt_of_not_le<\\/a> h) hk\"",
+                "[{\"full_name\":\"of_not_not\",\"def_path\":\"Mathlib\\/Logic\\/Basic.lean\",\"def_pos\":[255,9],\"def_end_pos\":[255,19]},{\"full_name\":\"DFinsupp.mem_neLocus\",\"def_path\":\"Mathlib\\/Data\\/DFinsupp\\/NeLocus.lean\",\"def_pos\":[41,9],\"def_end_pos\":[41,20]},{\"full_name\":\"ne_of_not_le\",\"def_path\":\"Mathlib\\/Order\\/Basic.lean\",\"def_pos\":[348,9],\"def_end_pos\":[348,21]},{\"full_name\":\"Ne.symm\",\"def_path\":\".lake\\/packages\\/lean4\\/src\\/lean\\/Init\\/Core.lean\",\"def_pos\":[704,9],\"def_end_pos\":[704,16]},{\"full_name\":\"LE.le.lt_of_not_le\",\"def_path\":\"Mathlib\\/Order\\/Basic.lean\",\"def_pos\":[131,7],\"def_end_pos\":[131,25]}]"
+              ],
+              "state_after": "no goals",
+              "state_before": "case intro.intro.intro.intro\n\u03b9 : Type u_1\n\u03b1 : \u03b9 \u2192 Type u_2\ninst\u271d\u00b2 : (i : \u03b9) \u2192 Zero (\u03b1 i)\ninst\u271d\u00b9 : (i : \u03b9) \u2192 Preorder (\u03b1 i)\nr : \u03b9 \u2192 \u03b9 \u2192 Prop\ninst\u271d : IsStrictOrder \u03b9 r\nx y : \u03a0\u2080 (i : \u03b9), \u03b1 i\nhlt\u271d : x < y\nhle : \u21d1x \u2264 \u21d1y\nj : \u03b9\nhlt : x j < y j\nthis : (\u2191(x.neLocus y)).WellFoundedOn r\ni : \u2191\u2191(x.neLocus y)\nhi : i \u2208 {i | x \u2191i < y \u2191i}\nhl : \u2200 x_1 \u2208 {i | x \u2191i < y \u2191i}, \u00acr \u2191x_1 \u2191i\nk : \u03b9\nhk : r k \u2191i\n\u22a2 y k \u2264 x k",
+              "tactic": "exact of_not_not fun h \u21a6 hl \u27e8k, mem_neLocus.2 (ne_of_not_le h).symm\u27e9 ((hle k).lt_of_not_le h) hk"
+            }
+          ],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/DFinsupp/Lex.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "DFinsupp.lt_of_forall_lt_of_lt",
+        "id": "DFinsupp.lt_of_forall_lt_of_lt",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            144,
+            26
+          ],
+          "file_path": "Mathlib/Data/DFinsupp/Lex.lean",
+          "full_name": "DFinsupp.lt_of_forall_lt_of_lt",
+          "start": [
+            142,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/DFinsupp/Lex.lean"
+      },
+      {
+        "error": "no internal trace for tactic \"exact \u27e8Finset.min' _ (nonempty_neLocus_iff.2 hne),\\n  fun j hj \u21a6 not_mem_neLocus.1 fun h \u21a6 (Finset.min'_le _ _ h).not_lt hj,\\n  (h _).lt_of_ne (mem_neLocus.1 <| Finset.min'_mem _ _)\u27e9\"",
+        "full_name": "DFinsupp.toLex_monotone",
+        "id": "DFinsupp.toLex_monotone",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            139,
+            59
+          ],
+          "file_path": "Mathlib/Data/DFinsupp/Lex.lean",
+          "full_name": "DFinsupp.toLex_monotone",
+          "start": [
+            133,
+            1
+          ],
+          "traced_tactics": [
+            {
+              "annotated_tactic": [
+                "\"intro a b h\"",
+                "[]"
+              ],
+              "state_after": "\u03b9 : Type u_1\n\u03b1 : \u03b9 \u2192 Type u_2\ninst\u271d\u00b2 : (i : \u03b9) \u2192 Zero (\u03b1 i)\ninst\u271d\u00b9 : LinearOrder \u03b9\ninst\u271d : (i : \u03b9) \u2192 PartialOrder (\u03b1 i)\na b : \u03a0\u2080 (i : \u03b9), \u03b1 i\nh : a \u2264 b\n\u22a2 toLex a \u2264 toLex b",
+              "state_before": "\u03b9 : Type u_1\n\u03b1 : \u03b9 \u2192 Type u_2\ninst\u271d\u00b2 : (i : \u03b9) \u2192 Zero (\u03b1 i)\ninst\u271d\u00b9 : LinearOrder \u03b9\ninst\u271d : (i : \u03b9) \u2192 PartialOrder (\u03b1 i)\n\u22a2 Monotone \u21d1toLex",
+              "tactic": "intro a b h"
+            },
+            {
+              "annotated_tactic": [
+                "\"refine <a>le_of_lt_or_eq<\\/a> (<a>or_iff_not_imp_right<\\/a>.2 fun hne \\u21a6 ?_)\"",
+                "[{\"full_name\":\"le_of_lt_or_eq\",\"def_path\":\"Mathlib\\/Init\\/Order\\/Defs.lean\",\"def_pos\":[155,9],\"def_end_pos\":[155,23]},{\"full_name\":\"Classical.or_iff_not_imp_right\",\"def_path\":\".lake\\/packages\\/lean4\\/src\\/lean\\/Init\\/Classical.lean\",\"def_pos\":[148,9],\"def_end_pos\":[148,29]}]"
+              ],
+              "state_after": "\u03b9 : Type u_1\n\u03b1 : \u03b9 \u2192 Type u_2\ninst\u271d\u00b2 : (i : \u03b9) \u2192 Zero (\u03b1 i)\ninst\u271d\u00b9 : LinearOrder \u03b9\ninst\u271d : (i : \u03b9) \u2192 PartialOrder (\u03b1 i)\na b : \u03a0\u2080 (i : \u03b9), \u03b1 i\nh : a \u2264 b\nhne : \u00actoLex a = toLex b\n\u22a2 toLex a < toLex b",
+              "state_before": "\u03b9 : Type u_1\n\u03b1 : \u03b9 \u2192 Type u_2\ninst\u271d\u00b2 : (i : \u03b9) \u2192 Zero (\u03b1 i)\ninst\u271d\u00b9 : LinearOrder \u03b9\ninst\u271d : (i : \u03b9) \u2192 PartialOrder (\u03b1 i)\na b : \u03a0\u2080 (i : \u03b9), \u03b1 i\nh : a \u2264 b\n\u22a2 toLex a \u2264 toLex b",
+              "tactic": "refine le_of_lt_or_eq (or_iff_not_imp_right.2 fun hne \u21a6 ?_)"
+            },
+            {
+              "annotated_tactic": [
+                "\"classical\\n  exact \\u27e8<a>Finset.min'<\\/a> _ (<a>nonempty_neLocus_iff<\\/a>.2 hne),\\n    fun j hj \\u21a6 <a>not_mem_neLocus<\\/a>.1 fun h \\u21a6 (<a>Finset.min'_le<\\/a> _ _ h).<a>not_lt<\\/a> hj,\\n    (h _).<a>lt_of_ne<\\/a> (<a>mem_neLocus<\\/a>.1 <| <a>Finset.min'_mem<\\/a> _ _)\\u27e9\"",
+                "[{\"full_name\":\"Finset.min'\",\"def_path\":\"Mathlib\\/Data\\/Finset\\/Lattice.lean\",\"def_pos\":[1545,5],\"def_end_pos\":[1545,9]},{\"full_name\":\"DFinsupp.nonempty_neLocus_iff\",\"def_path\":\"Mathlib\\/Data\\/DFinsupp\\/NeLocus.lean\",\"def_pos\":[63,9],\"def_end_pos\":[63,29]},{\"full_name\":\"DFinsupp.not_mem_neLocus\",\"def_path\":\"Mathlib\\/Data\\/DFinsupp\\/NeLocus.lean\",\"def_pos\":[46,9],\"def_end_pos\":[46,24]},{\"full_name\":\"Finset.min'_le\",\"def_path\":\"Mathlib\\/Data\\/Finset\\/Lattice.lean\",\"def_pos\":[1562,9],\"def_end_pos\":[1562,16]},{\"full_name\":\"LE.le.not_lt\",\"def_path\":\"Mathlib\\/Order\\/Basic.lean\",\"def_pos\":[346,7],\"def_end_pos\":[346,19]},{\"full_name\":\"LE.le.lt_of_ne\",\"def_path\":\"Mathlib\\/Order\\/Basic.lean\",\"def_pos\":[127,7],\"def_end_pos\":[127,21]},{\"full_name\":\"DFinsupp.mem_neLocus\",\"def_path\":\"Mathlib\\/Data\\/DFinsupp\\/NeLocus.lean\",\"def_pos\":[41,9],\"def_end_pos\":[41,20]},{\"full_name\":\"Finset.min'_mem\",\"def_path\":\"Mathlib\\/Data\\/Finset\\/Lattice.lean\",\"def_pos\":[1558,9],\"def_end_pos\":[1558,17]}]"
+              ],
+              "state_after": "no goals",
+              "state_before": "\u03b9 : Type u_1\n\u03b1 : \u03b9 \u2192 Type u_2\ninst\u271d\u00b2 : (i : \u03b9) \u2192 Zero (\u03b1 i)\ninst\u271d\u00b9 : LinearOrder \u03b9\ninst\u271d : (i : \u03b9) \u2192 PartialOrder (\u03b1 i)\na b : \u03a0\u2080 (i : \u03b9), \u03b1 i\nh : a \u2264 b\nhne : \u00actoLex a = toLex b\n\u22a2 toLex a < toLex b",
+              "tactic": "classical\nexact \u27e8Finset.min' _ (nonempty_neLocus_iff.2 hne),\n  fun j hj \u21a6 not_mem_neLocus.1 fun h \u21a6 (Finset.min'_le _ _ h).not_lt hj,\n  (h _).lt_of_ne (mem_neLocus.1 <| Finset.min'_mem _ _)\u27e9"
+            },
+            {
+              "annotated_tactic": [
+                "\"exact \\u27e8<a>Finset.min'<\\/a> _ (<a>nonempty_neLocus_iff<\\/a>.2 hne),\\n    fun j hj \\u21a6 <a>not_mem_neLocus<\\/a>.1 fun h \\u21a6 (<a>Finset.min'_le<\\/a> _ _ h).<a>not_lt<\\/a> hj,\\n    (h _).<a>lt_of_ne<\\/a> (<a>mem_neLocus<\\/a>.1 <| <a>Finset.min'_mem<\\/a> _ _)\\u27e9\"",
+                "[{\"full_name\":\"Finset.min'\",\"def_path\":\"Mathlib\\/Data\\/Finset\\/Lattice.lean\",\"def_pos\":[1545,5],\"def_end_pos\":[1545,9]},{\"full_name\":\"DFinsupp.nonempty_neLocus_iff\",\"def_path\":\"Mathlib\\/Data\\/DFinsupp\\/NeLocus.lean\",\"def_pos\":[63,9],\"def_end_pos\":[63,29]},{\"full_name\":\"DFinsupp.not_mem_neLocus\",\"def_path\":\"Mathlib\\/Data\\/DFinsupp\\/NeLocus.lean\",\"def_pos\":[46,9],\"def_end_pos\":[46,24]},{\"full_name\":\"Finset.min'_le\",\"def_path\":\"Mathlib\\/Data\\/Finset\\/Lattice.lean\",\"def_pos\":[1562,9],\"def_end_pos\":[1562,16]},{\"full_name\":\"LE.le.not_lt\",\"def_path\":\"Mathlib\\/Order\\/Basic.lean\",\"def_pos\":[346,7],\"def_end_pos\":[346,19]},{\"full_name\":\"LE.le.lt_of_ne\",\"def_path\":\"Mathlib\\/Order\\/Basic.lean\",\"def_pos\":[127,7],\"def_end_pos\":[127,21]},{\"full_name\":\"DFinsupp.mem_neLocus\",\"def_path\":\"Mathlib\\/Data\\/DFinsupp\\/NeLocus.lean\",\"def_pos\":[41,9],\"def_end_pos\":[41,20]},{\"full_name\":\"Finset.min'_mem\",\"def_path\":\"Mathlib\\/Data\\/Finset\\/Lattice.lean\",\"def_pos\":[1558,9],\"def_end_pos\":[1558,17]}]"
+              ],
+              "state_after": "no goals",
+              "state_before": "\u03b9 : Type u_1\n\u03b1 : \u03b9 \u2192 Type u_2\ninst\u271d\u00b2 : (i : \u03b9) \u2192 Zero (\u03b1 i)\ninst\u271d\u00b9 : LinearOrder \u03b9\ninst\u271d : (i : \u03b9) \u2192 PartialOrder (\u03b1 i)\na b : \u03a0\u2080 (i : \u03b9), \u03b1 i\nh : a \u2264 b\nhne : \u00actoLex a = toLex b\n\u22a2 toLex a < toLex b",
+              "tactic": "exact \u27e8Finset.min' _ (nonempty_neLocus_iff.2 hne),\n  fun j hj \u21a6 not_mem_neLocus.1 fun h \u21a6 (Finset.min'_le _ _ h).not_lt hj,\n  (h _).lt_of_ne (mem_neLocus.1 <| Finset.min'_mem _ _)\u27e9"
+            }
+          ],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/DFinsupp/Lex.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "Pi.lex_eq_dfinsupp_lex",
+        "id": "Pi.lex_eq_dfinsupp_lex",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            39,
+            6
+          ],
+          "file_path": "Mathlib/Data/DFinsupp/Lex.lean",
+          "full_name": "Pi.lex_eq_dfinsupp_lex",
+          "start": [
+            37,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/DFinsupp/Lex.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "DFinsupp.toMultiset_inj",
+        "id": "DFinsupp.toMultiset_inj",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            138,
+            30
+          ],
+          "file_path": "Mathlib/Data/DFinsupp/Multiset.lean",
+          "full_name": "DFinsupp.toMultiset_inj",
+          "start": [
+            137,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/DFinsupp/Multiset.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "DFinsupp.toMultiset_single",
+        "id": "DFinsupp.toMultiset_single",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            38,
+            34
+          ],
+          "file_path": "Mathlib/Data/DFinsupp/Multiset.lean",
+          "full_name": "DFinsupp.toMultiset_single",
+          "start": [
+            36,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/DFinsupp/Multiset.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "DFinsupp.toMultiset_toDFinsupp",
+        "id": "DFinsupp.toMultiset_toDFinsupp",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            129,
+            44
+          ],
+          "file_path": "Mathlib/Data/DFinsupp/Multiset.lean",
+          "full_name": "DFinsupp.toMultiset_toDFinsupp",
+          "start": [
+            127,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/DFinsupp/Multiset.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "Multiset.toDFinsupp_apply",
+        "id": "Multiset.toDFinsupp_apply",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            58,
+            6
+          ],
+          "file_path": "Mathlib/Data/DFinsupp/Multiset.lean",
+          "full_name": "Multiset.toDFinsupp_apply",
+          "start": [
+            57,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/DFinsupp/Multiset.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "Multiset.toDFinsupp_inj",
+        "id": "Multiset.toDFinsupp_inj",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            96,
+            30
+          ],
+          "file_path": "Mathlib/Data/DFinsupp/Multiset.lean",
+          "full_name": "Multiset.toDFinsupp_inj",
+          "start": [
+            95,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/DFinsupp/Multiset.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "Multiset.toDFinsupp_injective",
+        "id": "Multiset.toDFinsupp_injective",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            91,
+            26
+          ],
+          "file_path": "Mathlib/Data/DFinsupp/Multiset.lean",
+          "full_name": "Multiset.toDFinsupp_injective",
+          "start": [
+            90,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/DFinsupp/Multiset.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "Multiset.toDFinsupp_lt_toDFinsupp",
+        "id": "Multiset.toDFinsupp_lt_toDFinsupp",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            106,
+            76
+          ],
+          "file_path": "Mathlib/Data/DFinsupp/Multiset.lean",
+          "full_name": "Multiset.toDFinsupp_lt_toDFinsupp",
+          "start": [
+            105,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/DFinsupp/Multiset.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "Multiset.toDFinsupp_support",
+        "id": "Multiset.toDFinsupp_support",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            63,
+            87
+          ],
+          "file_path": "Mathlib/Data/DFinsupp/Multiset.lean",
+          "full_name": "Multiset.toDFinsupp_support",
+          "start": [
+            62,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/DFinsupp/Multiset.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "Multiset.toDFinsupp_toMultiset",
+        "id": "Multiset.toDFinsupp_toMultiset",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            87,
+            35
+          ],
+          "file_path": "Mathlib/Data/DFinsupp/Multiset.lean",
+          "full_name": "Multiset.toDFinsupp_toMultiset",
+          "start": [
+            86,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/DFinsupp/Multiset.lean"
+      }
+    ],
+    "input_proofs": 24,
+    "input_units": 2,
+    "proofs": 10,
+    "published_proofs": 10,
+    "published_transitions": 15,
+    "replay_failures": [],
+    "transitions": 15,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/mathlib-000885-0000-afd5958bbfde5ebb.parquet",
+      "sha256": "afd5958bbfde5ebb8b10c236cbb65a19effeade02a2df0c352f42e6f2080946b",
+      "bytes": 64557,
+      "rows": 13,
+      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
+    },
+    {
+      "path": "data/internal_test/mathlib-000885-0000-cbd59d62ad90796f.parquet",
+      "sha256": "cbd59d62ad90796f1a0cf1ef168e85a736a8d88979367ba0f60aaa543036b693",
+      "bytes": 38391,
+      "rows": 2,
+      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
+    }
+  ],
+  "proof_ids": [
+    "mathlib:DFinsupp.lex_lt_of_lt",
+    "mathlib:DFinsupp.toMultiset_inf",
+    "mathlib:DFinsupp.toMultiset_le_toMultiset",
+    "mathlib:DFinsupp.toMultiset_lt_toMultiset",
+    "mathlib:DFinsupp.toMultiset_sup",
+    "mathlib:Multiset.toDFinsupp_inter",
+    "mathlib:Multiset.toDFinsupp_le_toDFinsupp",
+    "mathlib:Multiset.toDFinsupp_replicate",
+    "mathlib:Multiset.toDFinsupp_singleton",
+    "mathlib:Multiset.toDFinsupp_union"
+  ],
+  "proof_keys": [
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/DFinsupp/Lex.lean\",null,null,\"DFinsupp.lex_lt_of_lt\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/DFinsupp/Multiset.lean\",null,null,\"DFinsupp.toMultiset_inf\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/DFinsupp/Multiset.lean\",null,null,\"DFinsupp.toMultiset_le_toMultiset\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/DFinsupp/Multiset.lean\",null,null,\"DFinsupp.toMultiset_lt_toMultiset\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/DFinsupp/Multiset.lean\",null,null,\"DFinsupp.toMultiset_sup\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/DFinsupp/Multiset.lean\",null,null,\"Multiset.toDFinsupp_inter\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/DFinsupp/Multiset.lean\",null,null,\"Multiset.toDFinsupp_le_toDFinsupp\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/DFinsupp/Multiset.lean\",null,null,\"Multiset.toDFinsupp_replicate\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/DFinsupp/Multiset.lean\",null,null,\"Multiset.toDFinsupp_singleton\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/DFinsupp/Multiset.lean\",null,null,\"Multiset.toDFinsupp_union\"]"
+  ]
+}

manifests/batches/mathlib/000886.json

@@ -0,0 +1,707 @@
+{
+  "format": "leangpt-parquet-v2",
+  "batch": "mathlib/000886",
+  "batch_fingerprint": "f0f7eb51c35e43512204195e3a9ab294a619dd00811beff173ee037f4531ca4d",
+  "evidence": {
+    "batch_fingerprint": "f0f7eb51c35e43512204195e3a9ab294a619dd00811beff173ee037f4531ca4d",
+    "contamination_matches": [],
+    "failures": [
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "DFinsupp.coe_neLocus",
+        "id": "DFinsupp.coe_neLocus",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            52,
+            31
+          ],
+          "file_path": "Mathlib/Data/DFinsupp/NeLocus.lean",
+          "full_name": "DFinsupp.coe_neLocus",
+          "start": [
+            51,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/DFinsupp/NeLocus.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "DFinsupp.neLocus_add_left",
+        "id": "DFinsupp.neLocus_add_left",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            124,
+            63
+          ],
+          "file_path": "Mathlib/Data/DFinsupp/NeLocus.lean",
+          "full_name": "DFinsupp.neLocus_add_left",
+          "start": [
+            122,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/DFinsupp/NeLocus.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "DFinsupp.neLocus_neg_neg",
+        "id": "DFinsupp.neLocus_neg_neg",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            139,
+            69
+          ],
+          "file_path": "Mathlib/Data/DFinsupp/NeLocus.lean",
+          "full_name": "DFinsupp.neLocus_neg_neg",
+          "start": [
+            138,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/DFinsupp/NeLocus.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "DFinsupp.neLocus_zero_left",
+        "id": "DFinsupp.neLocus_zero_left",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            79,
+            50
+          ],
+          "file_path": "Mathlib/Data/DFinsupp/NeLocus.lean",
+          "full_name": "DFinsupp.neLocus_zero_left",
+          "start": [
+            78,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/DFinsupp/NeLocus.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "DFinsupp.nonempty_neLocus_iff",
+        "id": "DFinsupp.nonempty_neLocus_iff",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            64,
+            58
+          ],
+          "file_path": "Mathlib/Data/DFinsupp/NeLocus.lean",
+          "full_name": "DFinsupp.nonempty_neLocus_iff",
+          "start": [
+            63,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/DFinsupp/NeLocus.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "DFinsupp.not_mem_neLocus",
+        "id": "DFinsupp.not_mem_neLocus",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            47,
+            35
+          ],
+          "file_path": "Mathlib/Data/DFinsupp/NeLocus.lean",
+          "full_name": "DFinsupp.not_mem_neLocus",
+          "start": [
+            46,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/DFinsupp/NeLocus.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "DFinsupp.bot_eq_zero",
+        "id": "DFinsupp.bot_eq_zero",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            201,
+            6
+          ],
+          "file_path": "Mathlib/Data/DFinsupp/Order.lean",
+          "full_name": "DFinsupp.bot_eq_zero",
+          "start": [
+            200,
+            11
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/DFinsupp/Order.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "DFinsupp.coe_inf",
+        "id": "DFinsupp.coe_inf",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            94,
+            84
+          ],
+          "file_path": "Mathlib/Data/DFinsupp/Order.lean",
+          "full_name": "DFinsupp.coe_inf",
+          "start": [
+            93,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/DFinsupp/Order.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "DFinsupp.coe_le_coe",
+        "id": "DFinsupp.coe_le_coe",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            44,
+            64
+          ],
+          "file_path": "Mathlib/Data/DFinsupp/Order.lean",
+          "full_name": "DFinsupp.coe_le_coe",
+          "start": [
+            44,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/DFinsupp/Order.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "DFinsupp.coe_lt_coe",
+        "id": "DFinsupp.coe_lt_coe",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            73,
+            64
+          ],
+          "file_path": "Mathlib/Data/DFinsupp/Order.lean",
+          "full_name": "DFinsupp.coe_lt_coe",
+          "start": [
+            73,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/DFinsupp/Order.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "DFinsupp.coe_mono",
+        "id": "DFinsupp.coe_mono",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            75,
+            73
+          ],
+          "file_path": "Mathlib/Data/DFinsupp/Order.lean",
+          "full_name": "DFinsupp.coe_mono",
+          "start": [
+            75,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/DFinsupp/Order.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "DFinsupp.coe_orderEmbeddingToFun",
+        "id": "DFinsupp.coe_orderEmbeddingToFun",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            54,
+            86
+          ],
+          "file_path": "Mathlib/Data/DFinsupp/Order.lean",
+          "full_name": "DFinsupp.coe_orderEmbeddingToFun",
+          "start": [
+            53,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/DFinsupp/Order.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "DFinsupp.coe_strictMono",
+        "id": "DFinsupp.coe_strictMono",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            78,
+            79
+          ],
+          "file_path": "Mathlib/Data/DFinsupp/Order.lean",
+          "full_name": "DFinsupp.coe_strictMono",
+          "start": [
+            78,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/DFinsupp/Order.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "DFinsupp.inf_apply",
+        "id": "DFinsupp.inf_apply",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            97,
+            26
+          ],
+          "file_path": "Mathlib/Data/DFinsupp/Order.lean",
+          "full_name": "DFinsupp.inf_apply",
+          "start": [
+            96,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/DFinsupp/Order.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "DFinsupp.le_def",
+        "id": "DFinsupp.le_def",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            41,
+            49
+          ],
+          "file_path": "Mathlib/Data/DFinsupp/Order.lean",
+          "full_name": "DFinsupp.le_def",
+          "start": [
+            41,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/DFinsupp/Order.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "DFinsupp.le_iff",
+        "id": "DFinsupp.le_iff",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            223,
+            27
+          ],
+          "file_path": "Mathlib/Data/DFinsupp/Order.lean",
+          "full_name": "DFinsupp.le_iff",
+          "start": [
+            222,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/DFinsupp/Order.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "DFinsupp.le_iff'",
+        "id": "DFinsupp.le_iff'",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            219,
+            94
+          ],
+          "file_path": "Mathlib/Data/DFinsupp/Order.lean",
+          "full_name": "DFinsupp.le_iff'",
+          "start": [
+            217,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/DFinsupp/Order.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "DFinsupp.lt_def",
+        "id": "DFinsupp.lt_def",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            72,
+            59
+          ],
+          "file_path": "Mathlib/Data/DFinsupp/Order.lean",
+          "full_name": "DFinsupp.lt_def",
+          "start": [
+            72,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/DFinsupp/Order.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "DFinsupp.orderEmbeddingToFun_apply",
+        "id": "DFinsupp.orderEmbeddingToFun_apply",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            59,
+            6
+          ],
+          "file_path": "Mathlib/Data/DFinsupp/Order.lean",
+          "full_name": "DFinsupp.orderEmbeddingToFun_apply",
+          "start": [
+            57,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/DFinsupp/Order.lean"
+      },
+      {
+        "error": "no internal trace for tactic \"exact (le_iff' support_single_subset).trans <| by simp\"",
+        "full_name": "DFinsupp.single_le_iff",
+        "id": "DFinsupp.single_le_iff",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            243,
+            67
+          ],
+          "file_path": "Mathlib/Data/DFinsupp/Order.lean",
+          "full_name": "DFinsupp.single_le_iff",
+          "start": [
+            242,
+            1
+          ],
+          "traced_tactics": [
+            {
+              "annotated_tactic": [
+                "\"classical exact (<a>le_iff'<\\/a> <a>support_single_subset<\\/a>).<a>trans<\\/a> <| by simp\"",
+                "[{\"full_name\":\"DFinsupp.le_iff'\",\"def_path\":\"Mathlib\\/Data\\/DFinsupp\\/Order.lean\",\"def_pos\":[217,9],\"def_end_pos\":[217,16]},{\"full_name\":\"DFinsupp.support_single_subset\",\"def_path\":\"Mathlib\\/Data\\/DFinsupp\\/Basic.lean\",\"def_pos\":[1179,9],\"def_end_pos\":[1179,30]},{\"full_name\":\"Iff.trans\",\"def_path\":\".lake\\/packages\\/lean4\\/src\\/lean\\/Init\\/Core.lean\",\"def_pos\":[803,9],\"def_end_pos\":[803,18]}]"
+              ],
+              "state_after": "no goals",
+              "state_before": "\u03b9 : Type u_1\n\u03b1 : \u03b9 \u2192 Type u_2\ninst\u271d\u00b9 : (i : \u03b9) \u2192 CanonicallyOrderedAddCommMonoid (\u03b1 i)\ninst\u271d : DecidableEq \u03b9\nf : \u03a0\u2080 (i : \u03b9), \u03b1 i\ni : \u03b9\na : \u03b1 i\n\u22a2 single i a \u2264 f \u2194 a \u2264 f i",
+              "tactic": "classical exact (le_iff' support_single_subset).trans <| by simp"
+            },
+            {
+              "annotated_tactic": [
+                "\"exact (<a>le_iff'<\\/a> <a>support_single_subset<\\/a>).<a>trans<\\/a> <| by simp\"",
+                "[{\"full_name\":\"DFinsupp.le_iff'\",\"def_path\":\"Mathlib\\/Data\\/DFinsupp\\/Order.lean\",\"def_pos\":[217,9],\"def_end_pos\":[217,16]},{\"full_name\":\"DFinsupp.support_single_subset\",\"def_path\":\"Mathlib\\/Data\\/DFinsupp\\/Basic.lean\",\"def_pos\":[1179,9],\"def_end_pos\":[1179,30]},{\"full_name\":\"Iff.trans\",\"def_path\":\".lake\\/packages\\/lean4\\/src\\/lean\\/Init\\/Core.lean\",\"def_pos\":[803,9],\"def_end_pos\":[803,18]}]"
+              ],
+              "state_after": "no goals",
+              "state_before": "\u03b9 : Type u_1\n\u03b1 : \u03b9 \u2192 Type u_2\ninst\u271d\u00b9 : (i : \u03b9) \u2192 CanonicallyOrderedAddCommMonoid (\u03b1 i)\ninst\u271d : DecidableEq \u03b9\nf : \u03a0\u2080 (i : \u03b9), \u03b1 i\ni : \u03b9\na : \u03b1 i\n\u22a2 single i a \u2264 f \u2194 a \u2264 f i",
+              "tactic": "exact (le_iff' support_single_subset).trans <| by simp"
+            },
+            {
+              "annotated_tactic": [
+                "\"simp\"",
+                "[]"
+              ],
+              "state_after": "no goals",
+              "state_before": "\u03b9 : Type u_1\n\u03b1 : \u03b9 \u2192 Type u_2\ninst\u271d\u00b9 : (i : \u03b9) \u2192 CanonicallyOrderedAddCommMonoid (\u03b1 i)\ninst\u271d : DecidableEq \u03b9\nf : \u03a0\u2080 (i : \u03b9), \u03b1 i\ni : \u03b9\na : \u03b1 i\n\u22a2 (\u2200 i_1 \u2208 {i}, (single i a) i_1 \u2264 f i_1) \u2194 a \u2264 f i",
+              "tactic": "simp"
+            }
+          ],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/DFinsupp/Order.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "DFinsupp.sup_apply",
+        "id": "DFinsupp.sup_apply",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            111,
+            26
+          ],
+          "file_path": "Mathlib/Data/DFinsupp/Order.lean",
+          "full_name": "DFinsupp.sup_apply",
+          "start": [
+            110,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/DFinsupp/Order.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "DFinsupp.support_mono",
+        "id": "DFinsupp.support_mono",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            229,
+            81
+          ],
+          "file_path": "Mathlib/Data/DFinsupp/Order.lean",
+          "full_name": "DFinsupp.support_mono",
+          "start": [
+            229,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/DFinsupp/Order.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "DFinsupp.support_sup_union_support_inf",
+        "id": "DFinsupp.support_sup_union_support_inf",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            129,
+            62
+          ],
+          "file_path": "Mathlib/Data/DFinsupp/Order.lean",
+          "full_name": "DFinsupp.support_sup_union_support_inf",
+          "start": [
+            128,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/DFinsupp/Order.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "DFinsupp.tsub_apply",
+        "id": "DFinsupp.tsub_apply",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            261,
+            26
+          ],
+          "file_path": "Mathlib/Data/DFinsupp/Order.lean",
+          "full_name": "DFinsupp.tsub_apply",
+          "start": [
+            260,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/DFinsupp/Order.lean"
+      }
+    ],
+    "input_proofs": 48,
+    "input_units": 2,
+    "proofs": 24,
+    "published_proofs": 23,
+    "published_transitions": 34,
+    "replay_failures": [],
+    "transitions": 38,
+    "validation_failures": [
+      {
+        "errors": [
+          "internal transition boundary mismatch",
+          "internal transition boundary mismatch"
+        ],
+        "file_path": "Mathlib/Data/DFinsupp/Order.lean",
+        "proof_id": "mathlib:DFinsupp.single_tsub",
+        "provenance": {
+          "selection": {
+            "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+            "end": [
+              292,
+              88
+            ],
+            "file_path": "Mathlib/Data/DFinsupp/Order.lean",
+            "full_name": "DFinsupp.single_tsub",
+            "start": [
+              288,
+              1
+            ],
+            "traced_tactics": [
+              {
+                "annotated_tactic": [
+                  "\"ext j\"",
+                  "[]"
+                ],
+                "state_after": "case h\n\u03b9 : Type u_1\n\u03b1 : \u03b9 \u2192 Type u_2\ninst\u271d\u00b3 : (i : \u03b9) \u2192 CanonicallyOrderedAddCommMonoid (\u03b1 i)\ninst\u271d\u00b2 : (i : \u03b9) \u2192 Sub (\u03b1 i)\ninst\u271d\u00b9 : \u2200 (i : \u03b9), OrderedSub (\u03b1 i)\nf g : \u03a0\u2080 (i : \u03b9), \u03b1 i\ni : \u03b9\na b : \u03b1 i\ninst\u271d : DecidableEq \u03b9\nj : \u03b9\n\u22a2 (single i (a - b)) j = (single i a - single i b) j",
+                "state_before": "\u03b9 : Type u_1\n\u03b1 : \u03b9 \u2192 Type u_2\ninst\u271d\u00b3 : (i : \u03b9) \u2192 CanonicallyOrderedAddCommMonoid (\u03b1 i)\ninst\u271d\u00b2 : (i : \u03b9) \u2192 Sub (\u03b1 i)\ninst\u271d\u00b9 : \u2200 (i : \u03b9), OrderedSub (\u03b1 i)\nf g : \u03a0\u2080 (i : \u03b9), \u03b1 i\ni : \u03b9\na b : \u03b1 i\ninst\u271d : DecidableEq \u03b9\n\u22a2 single i (a - b) = single i a - single i b",
+                "tactic": "ext j"
+              },
+              {
+                "annotated_tactic": [
+                  "\"obtain rfl | h := <a>eq_or_ne<\\/a> i j\"",
+                  "[{\"full_name\":\"eq_or_ne\",\"def_path\":\"Mathlib\\/Logic\\/Basic.lean\",\"def_pos\":[212,9],\"def_end_pos\":[212,17]}]"
+                ],
+                "state_after": "case h.inl\n\u03b9 : Type u_1\n\u03b1 : \u03b9 \u2192 Type u_2\ninst\u271d\u00b3 : (i : \u03b9) \u2192 CanonicallyOrderedAddCommMonoid (\u03b1 i)\ninst\u271d\u00b2 : (i : \u03b9) \u2192 Sub (\u03b1 i)\ninst\u271d\u00b9 : \u2200 (i : \u03b9), OrderedSub (\u03b1 i)\nf g : \u03a0\u2080 (i : \u03b9), \u03b1 i\ni : \u03b9\na b : \u03b1 i\ninst\u271d : DecidableEq \u03b9\n\u22a2 (single i (a - b)) i = (single i a - single i b) i\n\ncase h.inr\n\u03b9 : Type u_1\n\u03b1 : \u03b9 \u2192 Type u_2\ninst\u271d\u00b3 : (i : \u03b9) \u2192 CanonicallyOrderedAddCommMonoid (\u03b1 i)\ninst\u271d\u00b2 : (i : \u03b9) \u2192 Sub (\u03b1 i)\ninst\u271d\u00b9 : \u2200 (i : \u03b9), OrderedSub (\u03b1 i)\nf g : \u03a0\u2080 (i : \u03b9), \u03b1 i\ni : \u03b9\na b : \u03b1 i\ninst\u271d : DecidableEq \u03b9\nj : \u03b9\nh : i \u2260 j\n\u22a2 (single i (a - b)) j = (single i a - single i b) j",
+                "state_before": "case h\n\u03b9 : Type u_1\n\u03b1 : \u03b9 \u2192 Type u_2\ninst\u271d\u00b3 : (i : \u03b9) \u2192 CanonicallyOrderedAddCommMonoid (\u03b1 i)\ninst\u271d\u00b2 : (i : \u03b9) \u2192 Sub (\u03b1 i)\ninst\u271d\u00b9 : \u2200 (i : \u03b9), OrderedSub (\u03b1 i)\nf g : \u03a0\u2080 (i : \u03b9), \u03b1 i\ni : \u03b9\na b : \u03b1 i\ninst\u271d : DecidableEq \u03b9\nj : \u03b9\n\u22a2 (single i (a - b)) j = (single i a - single i b) j",
+                "tactic": "obtain rfl | h := eq_or_ne i j"
+              },
+              {
+                "annotated_tactic": [
+                  "\"rw [<a>tsub_apply<\\/a>, <a>single_eq_same<\\/a>, <a>single_eq_same<\\/a>, <a>single_eq_same<\\/a>]\"",
+                  "[{\"full_name\":\"DFinsupp.tsub_apply\",\"def_path\":\"Mathlib\\/Data\\/DFinsupp\\/Order.lean\",\"def_pos\":[260,9],\"def_end_pos\":[260,19]},{\"full_name\":\"DFinsupp.single_eq_same\",\"def_path\":\"Mathlib\\/Data\\/DFinsupp\\/Basic.lean\",\"def_pos\":[637,9],\"def_end_pos\":[637,23]},{\"full_name\":\"DFinsupp.single_eq_same\",\"def_path\":\"Mathlib\\/Data\\/DFinsupp\\/Basic.lean\",\"def_pos\":[637,9],\"def_end_pos\":[637,23]},{\"full_name\":\"DFinsupp.single_eq_same\",\"def_path\":\"Mathlib\\/Data\\/DFinsupp\\/Basic.lean\",\"def_pos\":[637,9],\"def_end_pos\":[637,23]}]"
+                ],
+                "state_after": "no goals",
+                "state_before": "case h.inl\n\u03b9 : Type u_1\n\u03b1 : \u03b9 \u2192 Type u_2\ninst\u271d\u00b3 : (i : \u03b9) \u2192 CanonicallyOrderedAddCommMonoid (\u03b1 i)\ninst\u271d\u00b2 : (i : \u03b9) \u2192 Sub (\u03b1 i)\ninst\u271d\u00b9 : \u2200 (i : \u03b9), OrderedSub (\u03b1 i)\nf g : \u03a0\u2080 (i : \u03b9), \u03b1 i\ni : \u03b9\na b : \u03b1 i\ninst\u271d : DecidableEq \u03b9\n\u22a2 (single i (a - b)) i = (single i a - single i b) i",
+                "tactic": "rw [tsub_apply, single_eq_same, single_eq_same, single_eq_same]"
+              },
+              {
+                "annotated_tactic": [
+                  "\"rw [<a>tsub_apply<\\/a>, <a>single_eq_of_ne<\\/a> h, <a>single_eq_of_ne<\\/a> h, <a>single_eq_of_ne<\\/a> h, <a>tsub_self<\\/a>]\"",
+                  "[{\"full_name\":\"DFinsupp.tsub_apply\",\"def_path\":\"Mathlib\\/Data\\/DFinsupp\\/Order.lean\",\"def_pos\":[260,9],\"def_end_pos\":[260,19]},{\"full_name\":\"DFinsupp.single_eq_of_ne\",\"def_path\":\"Mathlib\\/Data\\/DFinsupp\\/Basic.lean\",\"def_pos\":[641,9],\"def_end_pos\":[641,24]},{\"full_name\":\"DFinsupp.single_eq_of_ne\",\"def_path\":\"Mathlib\\/Data\\/DFinsupp\\/Basic.lean\",\"def_pos\":[641,9],\"def_end_pos\":[641,24]},{\"full_name\":\"DFinsupp.single_eq_of_ne\",\"def_path\":\"Mathlib\\/Data\\/DFinsupp\\/Basic.lean\",\"def_pos\":[641,9],\"def_end_pos\":[641,24]},{\"full_name\":\"tsub_self\",\"def_path\":\"Mathlib\\/Algebra\\/Order\\/Sub\\/Canonical.lean\",\"def_pos\":[342,9],\"def_end_pos\":[342,18]}]"
+                ],
+                "state_after": "no goals",
+                "state_before": "case h.inr\n\u03b9 : Type u_1\n\u03b1 : \u03b9 \u2192 Type u_2\ninst\u271d\u00b3 : (i : \u03b9) \u2192 CanonicallyOrderedAddCommMonoid (\u03b1 i)\ninst\u271d\u00b2 : (i : \u03b9) \u2192 Sub (\u03b1 i)\ninst\u271d\u00b9 : \u2200 (i : \u03b9), OrderedSub (\u03b1 i)\nf g : \u03a0\u2080 (i : \u03b9), \u03b1 i\ni : \u03b9\na b : \u03b1 i\ninst\u271d : DecidableEq \u03b9\nj : \u03b9\nh : i \u2260 j\n\u22a2 (single i (a - b)) j = (single i a - single i b) j",
+                "tactic": "rw [tsub_apply, single_eq_of_ne h, single_eq_of_ne h, single_eq_of_ne h, tsub_self]"
+              }
+            ],
+            "url": "https://github.com/leanprover-community/mathlib4"
+          }
+        },
+        "theorem_name": "DFinsupp.single_tsub"
+      }
+    ],
+    "validation_rejected_proofs": 1,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
+    {
+      "path": "data/train/mathlib-000886-0000-d23c0f21bc1b95e4.parquet",
+      "sha256": "d23c0f21bc1b95e4a5c13af42643c165bb30b2dade9f84ec31b0cb86027ba63e",
+      "bytes": 114426,
+      "rows": 30,
+      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
+    },
+    {
+      "path": "data/internal_test/mathlib-000886-0000-d2b22ffb71966be0.parquet",
+      "sha256": "d2b22ffb71966be0e60025eda603830b797a47b8baabf513e47d8c4ca03f1188",
+      "bytes": 66744,
+      "rows": 4,
+      "revision": "a94e939e1457fbc60301436c08d9d40ff61528e0"
+    }
+  ],
+  "proof_ids": [
+    "mathlib:DFinsupp.add_eq_zero_iff",
+    "mathlib:DFinsupp.coe_tsub",
+    "mathlib:DFinsupp.disjoint_iff",
+    "mathlib:DFinsupp.mapRange_neLocus_eq",
+    "mathlib:DFinsupp.mem_neLocus",
+    "mathlib:DFinsupp.neLocus_comm",
+    "mathlib:DFinsupp.neLocus_eq_empty",
+    "mathlib:DFinsupp.neLocus_eq_support_sub",
+    "mathlib:DFinsupp.neLocus_neg",
+    "mathlib:DFinsupp.neLocus_self_add_left",
+    "mathlib:DFinsupp.neLocus_self_add_right",
+    "mathlib:DFinsupp.neLocus_self_sub_left",
+    "mathlib:DFinsupp.neLocus_self_sub_right",
+    "mathlib:DFinsupp.neLocus_sub_left",
+    "mathlib:DFinsupp.neLocus_sub_right",
+    "mathlib:DFinsupp.subset_mapRange_neLocus",
+    "mathlib:DFinsupp.support_inf",
+    "mathlib:DFinsupp.support_inf_union_support_sup",
+    "mathlib:DFinsupp.support_monotone",
+    "mathlib:DFinsupp.support_sup",
+    "mathlib:DFinsupp.support_tsub",
+    "mathlib:DFinsupp.zipWith_neLocus_eq_left",
+    "mathlib:DFinsupp.zipWith_neLocus_eq_right"
+  ],
+  "proof_keys": [
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/DFinsupp/NeLocus.lean\",null,null,\"DFinsupp.mapRange_neLocus_eq\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/DFinsupp/NeLocus.lean\",null,null,\"DFinsupp.mem_neLocus\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/DFinsupp/NeLocus.lean\",null,null,\"DFinsupp.neLocus_comm\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/DFinsupp/NeLocus.lean\",null,null,\"DFinsupp.neLocus_eq_empty\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/DFinsupp/NeLocus.lean\",null,null,\"DFinsupp.neLocus_eq_support_sub\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/DFinsupp/NeLocus.lean\",null,null,\"DFinsupp.neLocus_neg\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/DFinsupp/NeLocus.lean\",null,null,\"DFinsupp.neLocus_self_add_left\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/DFinsupp/NeLocus.lean\",null,null,\"DFinsupp.neLocus_self_add_right\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/DFinsupp/NeLocus.lean\",null,null,\"DFinsupp.neLocus_self_sub_left\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/DFinsupp/NeLocus.lean\",null,null,\"DFinsupp.neLocus_self_sub_right\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/DFinsupp/NeLocus.lean\",null,null,\"DFinsupp.neLocus_sub_left\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/DFinsupp/NeLocus.lean\",null,null,\"DFinsupp.neLocus_sub_right\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/DFinsupp/NeLocus.lean\",null,null,\"DFinsupp.subset_mapRange_neLocus\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/DFinsupp/NeLocus.lean\",null,null,\"DFinsupp.zipWith_neLocus_eq_left\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/DFinsupp/NeLocus.lean\",null,null,\"DFinsupp.zipWith_neLocus_eq_right\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/DFinsupp/Order.lean\",null,null,\"DFinsupp.add_eq_zero_iff\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/DFinsupp/Order.lean\",null,null,\"DFinsupp.coe_tsub\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/DFinsupp/Order.lean\",null,null,\"DFinsupp.disjoint_iff\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/DFinsupp/Order.lean\",null,null,\"DFinsupp.support_inf\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/DFinsupp/Order.lean\",null,null,\"DFinsupp.support_inf_union_support_sup\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/DFinsupp/Order.lean\",null,null,\"DFinsupp.support_monotone\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/DFinsupp/Order.lean\",null,null,\"DFinsupp.support_sup\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/DFinsupp/Order.lean\",null,null,\"DFinsupp.support_tsub\"]"
+  ]
+}

manifests/batches/mathlib/000888.json

@@ -0,0 +1,2460 @@
+{
+  "format": "leangpt-parquet-v2",
+  "batch": "mathlib/000888",
+  "batch_fingerprint": "b62c8f1c40bbdcba603ad4dd18f2eb1afc5080e588b85878b7a17114fe45db8e",
+  "evidence": {
+    "batch_fingerprint": "b62c8f1c40bbdcba603ad4dd18f2eb1afc5080e588b85878b7a17114fe45db8e",
+    "contamination_matches": [],
+    "failures": [
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.bot_eq_zero",
+        "id": "ENNReal.bot_eq_zero",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            531,
+            44
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.bot_eq_zero",
+          "start": [
+            531,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.cinfi_ne_top",
+        "id": "ENNReal.cinfi_ne_top",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            485,
+            72
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.cinfi_ne_top",
+          "start": [
+            484,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.coe_add",
+        "id": "ENNReal.coe_add",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            410,
+            80
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.coe_add",
+          "start": [
+            410,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.coe_eq_one",
+        "id": "ENNReal.coe_eq_one",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            396,
+            75
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.coe_eq_one",
+          "start": [
+            396,
+            20
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.coe_eq_zero",
+        "id": "ENNReal.coe_eq_zero",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            390,
+            76
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.coe_eq_zero",
+          "start": [
+            390,
+            20
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.coe_finset_sup",
+        "id": "ENNReal.coe_finset_sup",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            608,
+            57
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.coe_finset_sup",
+          "start": [
+            607,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.coe_iInf",
+        "id": "ENNReal.coe_iInf",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            767,
+            41
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.coe_iInf",
+          "start": [
+            766,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.coe_iSup",
+        "id": "ENNReal.coe_iSup",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            762,
+            24
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.coe_iSup",
+          "start": [
+            760,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.coe_indicator",
+        "id": "ENNReal.coe_indicator",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            526,
+            50
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.coe_indicator",
+          "start": [
+            524,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.coe_inj",
+        "id": "ENNReal.coe_inj",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            181,
+            82
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.coe_inj",
+          "start": [
+            181,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.coe_injective",
+        "id": "ENNReal.coe_injective",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            179,
+            76
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.coe_injective",
+          "start": [
+            179,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.coe_le_coe",
+        "id": "ENNReal.coe_le_coe",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            371,
+            87
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.coe_le_coe",
+          "start": [
+            371,
+            20
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.coe_le_iff",
+        "id": "ENNReal.coe_le_iff",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            594,
+            77
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.coe_le_iff",
+          "start": [
+            594,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.coe_le_one_iff",
+        "id": "ENNReal.coe_le_one_iff",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            544,
+            63
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.coe_le_one_iff",
+          "start": [
+            544,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.coe_lt_coe",
+        "id": "ENNReal.coe_lt_coe",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            374,
+            87
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.coe_lt_coe",
+          "start": [
+            374,
+            20
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.coe_lt_natCast",
+        "id": "ENNReal.coe_lt_natCast",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            668,
+            94
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.coe_lt_natCast",
+          "start": [
+            668,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.coe_lt_one_iff",
+        "id": "ENNReal.coe_lt_one_iff",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            548,
+            63
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.coe_lt_one_iff",
+          "start": [
+            548,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.coe_lt_top",
+        "id": "ENNReal.coe_lt_top",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            331,
+            68
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.coe_lt_top",
+          "start": [
+            331,
+            9
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.coe_max",
+        "id": "ENNReal.coe_max",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            732,
+            81
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.coe_max",
+          "start": [
+            732,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.coe_min",
+        "id": "ENNReal.coe_min",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            728,
+            81
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.coe_min",
+          "start": [
+            728,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.coe_mono",
+        "id": "ENNReal.coe_mono",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            385,
+            64
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.coe_mono",
+          "start": [
+            385,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.coe_mul",
+        "id": "ENNReal.coe_mul",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            413,
+            80
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.coe_mul",
+          "start": [
+            413,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.coe_natCast",
+        "id": "ENNReal.coe_natCast",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            556,
+            60
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.coe_natCast",
+          "start": [
+            556,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.coe_ne_coe",
+        "id": "ENNReal.coe_ne_coe",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            184,
+            57
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.coe_ne_coe",
+          "start": [
+            184,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.coe_ne_one",
+        "id": "ENNReal.coe_ne_one",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            408,
+            60
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.coe_ne_one",
+          "start": [
+            408,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.coe_ne_top",
+        "id": "ENNReal.coe_ne_top",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            325,
+            66
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.coe_ne_top",
+          "start": [
+            325,
+            9
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.coe_ne_zero",
+        "id": "ENNReal.coe_ne_zero",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            405,
+            64
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.coe_ne_zero",
+          "start": [
+            405,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.coe_nsmul",
+        "id": "ENNReal.coe_nsmul",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            416,
+            82
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.coe_nsmul",
+          "start": [
+            416,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.coe_ofNNRealHom",
+        "id": "ENNReal.coe_ofNNRealHom",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            520,
+            61
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.coe_ofNNRealHom",
+          "start": [
+            520,
+            9
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.coe_ofNat",
+        "id": "ENNReal.coe_ofNat",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            426,
+            69
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.coe_ofNat",
+          "start": [
+            425,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.coe_one",
+        "id": "ENNReal.coe_one",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            244,
+            68
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.coe_one",
+          "start": [
+            244,
+            20
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.coe_pos",
+        "id": "ENNReal.coe_pos",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            402,
+            74
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.coe_pos",
+          "start": [
+            402,
+            20
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.coe_pow",
+        "id": "ENNReal.coe_pow",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            418,
+            86
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.coe_pow",
+          "start": [
+            418,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.coe_sInf",
+        "id": "ENNReal.coe_sInf",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            757,
+            44
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.coe_sInf",
+          "start": [
+            756,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.coe_sSup",
+        "id": "ENNReal.coe_sSup",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            753,
+            19
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.coe_sSup",
+          "start": [
+            752,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.coe_strictMono",
+        "id": "ENNReal.coe_strictMono",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            388,
+            72
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.coe_strictMono",
+          "start": [
+            388,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.coe_toNNReal",
+        "id": "ENNReal.coe_toNNReal",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            208,
+            25
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.coe_toNNReal",
+          "start": [
+            206,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.coe_toReal",
+        "id": "ENNReal.coe_toReal",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            262,
+            68
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.coe_toReal",
+          "start": [
+            262,
+            9
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.coe_two",
+        "id": "ENNReal.coe_two",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            430,
+            48
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.coe_two",
+          "start": [
+            430,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.coe_zero",
+        "id": "ENNReal.coe_zero",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            241,
+            69
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.coe_zero",
+          "start": [
+            241,
+            20
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.csupr_ne_top",
+        "id": "ENNReal.csupr_ne_top",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            493,
+            24
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.csupr_ne_top",
+          "start": [
+            492,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.exists_ne_top",
+        "id": "ENNReal.exists_ne_top",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            290,
+            24
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.exists_ne_top",
+          "start": [
+            289,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.forall_ennreal",
+        "id": "ENNReal.forall_ennreal",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            282,
+            31
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.forall_ennreal",
+          "start": [
+            281,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.forall_ne_top",
+        "id": "ENNReal.forall_ne_top",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            286,
+            22
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.forall_ne_top",
+          "start": [
+            285,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.iInf_coe_eq_top",
+        "id": "ENNReal.iInf_coe_eq_top",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            777,
+            85
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.iInf_coe_eq_top",
+          "start": [
+            777,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.iInf_coe_lt_top",
+        "id": "ENNReal.iInf_coe_lt_top",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            778,
+            86
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.iInf_coe_lt_top",
+          "start": [
+            778,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.iInf_ennreal",
+        "id": "ENNReal.iInf_ennreal",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            503,
+            39
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.iInf_ennreal",
+          "start": [
+            501,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.iSup_coe_eq_top",
+        "id": "ENNReal.iSup_coe_eq_top",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            775,
+            96
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.iSup_coe_eq_top",
+          "start": [
+            775,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.iSup_coe_lt_top",
+        "id": "ENNReal.iSup_coe_lt_top",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            776,
+            94
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.iSup_coe_lt_top",
+          "start": [
+            776,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.iSup_ne_top",
+        "id": "ENNReal.iSup_ne_top",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            498,
+            23
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.iSup_ne_top",
+          "start": [
+            496,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.iUnion_Iic_coe_nat",
+        "id": "ENNReal.iUnion_Iic_coe_nat",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            694,
+            66
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.iUnion_Iic_coe_nat",
+          "start": [
+            692,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.le_coe_iff",
+        "id": "ENNReal.le_coe_iff",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            591,
+            77
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.le_coe_iff",
+          "start": [
+            591,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.lt_iff_exists_coe",
+        "id": "ENNReal.lt_iff_exists_coe",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            598,
+            28
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.lt_iff_exists_coe",
+          "start": [
+            597,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.lt_iff_exists_nnreal_btwn",
+        "id": "ENNReal.lt_iff_exists_nnreal_btwn",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            647,
+            33
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.lt_iff_exists_nnreal_btwn",
+          "start": [
+            646,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.lt_iff_exists_real_btwn",
+        "id": "ENNReal.lt_iff_exists_real_btwn",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            643,
+            42
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.lt_iff_exists_real_btwn",
+          "start": [
+            638,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.max_eq_zero_iff",
+        "id": "ENNReal.max_eq_zero_iff",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            611,
+            76
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.max_eq_zero_iff",
+          "start": [
+            611,
+            9
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.max_zero_left",
+        "id": "ENNReal.max_zero_left",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            615,
+            27
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.max_zero_left",
+          "start": [
+            614,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.max_zero_right",
+        "id": "ENNReal.max_zero_right",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            619,
+            26
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.max_zero_right",
+          "start": [
+            618,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.natCast_lt_coe",
+        "id": "ENNReal.natCast_lt_coe",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            665,
+            94
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.natCast_lt_coe",
+          "start": [
+            665,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.natCast_ne_top",
+        "id": "ENNReal.natCast_ne_top",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            567,
+            84
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.natCast_ne_top",
+          "start": [
+            567,
+            9
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.none_eq_top",
+        "id": "ENNReal.none_eq_top",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            171,
+            55
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.none_eq_top",
+          "start": [
+            171,
+            9
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.not_top_le_coe",
+        "id": "ENNReal.not_top_le_coe",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            536,
+            61
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.not_top_le_coe",
+          "start": [
+            536,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.ofReal_coe_nnreal",
+        "id": "ENNReal.ofReal_coe_nnreal",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            238,
+            83
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.ofReal_coe_nnreal",
+          "start": [
+            238,
+            9
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.ofReal_eq_coe_nnreal",
+        "id": "ENNReal.ofReal_eq_coe_nnreal",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            235,
+            30
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.ofReal_eq_coe_nnreal",
+          "start": [
+            233,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.ofReal_lt_top",
+        "id": "ENNReal.ofReal_lt_top",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            337,
+            75
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.ofReal_lt_top",
+          "start": [
+            337,
+            9
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.ofReal_ne_top",
+        "id": "ENNReal.ofReal_ne_top",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            334,
+            75
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.ofReal_ne_top",
+          "start": [
+            334,
+            9
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.ofReal_ofNat",
+        "id": "ENNReal.ofReal_ofNat",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            565,
+            19
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.ofReal_ofNat",
+          "start": [
+            563,
+            9
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.ofReal_toReal_le",
+        "id": "ENNReal.ofReal_toReal_le",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            278,
+            71
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.ofReal_toReal_le",
+          "start": [
+            277,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.one_eq_coe",
+        "id": "ENNReal.one_eq_coe",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            399,
+            75
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.one_eq_coe",
+          "start": [
+            399,
+            20
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.one_le_coe_iff",
+        "id": "ENNReal.one_le_coe_iff",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            540,
+            63
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.one_le_coe_iff",
+          "start": [
+            540,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.one_lt_coe_iff",
+        "id": "ENNReal.one_lt_coe_iff",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            552,
+            63
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.one_lt_coe_iff",
+          "start": [
+            552,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.one_lt_top",
+        "id": "ENNReal.one_lt_top",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            573,
+            49
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.one_lt_top",
+          "start": [
+            573,
+            9
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.one_lt_two",
+        "id": "ENNReal.one_lt_two",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            453,
+            56
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.one_lt_two",
+          "start": [
+            453,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.one_ne_top",
+        "id": "ENNReal.one_ne_top",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            363,
+            49
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.one_ne_top",
+          "start": [
+            363,
+            9
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.one_toNNReal",
+        "id": "ENNReal.one_toNNReal",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            259,
+            62
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.one_toNNReal",
+          "start": [
+            259,
+            9
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.one_toReal",
+        "id": "ENNReal.one_toReal",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            256,
+            58
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.one_toReal",
+          "start": [
+            256,
+            9
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.range_coe",
+        "id": "ENNReal.range_coe",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            187,
+            94
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.range_coe",
+          "start": [
+            187,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.some_eq_coe",
+        "id": "ENNReal.some_eq_coe",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            174,
+            84
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.some_eq_coe",
+          "start": [
+            174,
+            9
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.some_eq_coe'",
+        "id": "ENNReal.some_eq_coe'",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            177,
+            86
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.some_eq_coe'",
+          "start": [
+            177,
+            9
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.sup_eq_max",
+        "id": "ENNReal.sup_eq_max",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            622,
+            52
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.sup_eq_max",
+          "start": [
+            622,
+            9
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.toNNReal_coe",
+        "id": "ENNReal.toNNReal_coe",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            202,
+            54
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.toNNReal_coe",
+          "start": [
+            202,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.toNNReal_eq_toNNReal_iff",
+        "id": "ENNReal.toNNReal_eq_toNNReal_iff",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            435,
+            31
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.toNNReal_eq_toNNReal_iff",
+          "start": [
+            433,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.toNNReal_eq_zero_iff",
+        "id": "ENNReal.toNNReal_eq_zero_iff",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            294,
+            29
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.toNNReal_eq_zero_iff",
+          "start": [
+            293,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.toNNReal_ne_one",
+        "id": "ENNReal.toNNReal_ne_one",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            318,
+            28
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.toNNReal_ne_one",
+          "start": [
+            317,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.toNNReal_ne_zero",
+        "id": "ENNReal.toNNReal_ne_zero",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            302,
+            42
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.toNNReal_ne_zero",
+          "start": [
+            301,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.toReal_ne_one",
+        "id": "ENNReal.toReal_ne_one",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            322,
+            26
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.toReal_ne_one",
+          "start": [
+            321,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.toReal_ne_zero",
+        "id": "ENNReal.toReal_ne_zero",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            306,
+            40
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.toReal_ne_zero",
+          "start": [
+            305,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.toReal_nonneg",
+        "id": "ENNReal.toReal_nonneg",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            247,
+            72
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.toReal_nonneg",
+          "start": [
+            247,
+            9
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.toReal_ofNat",
+        "id": "ENNReal.toReal_ofNat",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            589,
+            15
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.toReal_ofNat",
+          "start": [
+            587,
+            9
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.toReal_ofReal",
+        "id": "ENNReal.toReal_ofReal",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            218,
+            16
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.toReal_ofReal",
+          "start": [
+            217,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.toReal_ofReal'",
+        "id": "ENNReal.toReal_ofReal'",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            221,
+            76
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.toReal_ofReal'",
+          "start": [
+            221,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.top_ne_coe",
+        "id": "ENNReal.top_ne_coe",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            328,
+            66
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.top_ne_coe",
+          "start": [
+            328,
+            9
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.top_ne_natCast",
+        "id": "ENNReal.top_ne_natCast",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            570,
+            75
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.top_ne_natCast",
+          "start": [
+            570,
+            9
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.top_ne_ofReal",
+        "id": "ENNReal.top_ne_ofReal",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            340,
+            75
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.top_ne_ofReal",
+          "start": [
+            340,
+            9
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.top_ne_one",
+        "id": "ENNReal.top_ne_one",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            366,
+            49
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.top_ne_one",
+          "start": [
+            366,
+            9
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.top_ne_zero",
+        "id": "ENNReal.top_ne_zero",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            360,
+            50
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.top_ne_zero",
+          "start": [
+            360,
+            9
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.top_toNNReal",
+        "id": "ENNReal.top_toNNReal",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            250,
+            53
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.top_toNNReal",
+          "start": [
+            250,
+            9
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.top_toReal",
+        "id": "ENNReal.top_toReal",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            253,
+            49
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.top_toReal",
+          "start": [
+            253,
+            9
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.two_lt_top",
+        "id": "ENNReal.two_lt_top",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            459,
+            58
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.two_lt_top",
+          "start": [
+            459,
+            9
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.two_ne_top",
+        "id": "ENNReal.two_ne_top",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            456,
+            58
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.two_ne_top",
+          "start": [
+            456,
+            9
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.zero_lt_top",
+        "id": "ENNReal.zero_lt_top",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            369,
+            50
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.zero_lt_top",
+          "start": [
+            369,
+            9
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.zero_ne_top",
+        "id": "ENNReal.zero_ne_top",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            357,
+            50
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.zero_ne_top",
+          "start": [
+            357,
+            9
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.zero_toNNReal",
+        "id": "ENNReal.zero_toNNReal",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            265,
+            63
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.zero_toNNReal",
+          "start": [
+            265,
+            9
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "ENNReal.zero_toReal",
+        "id": "ENNReal.zero_toReal",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            268,
+            59
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "ENNReal.zero_toReal",
+          "start": [
+            268,
+            9
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "Set.OrdConnected.preimage_coe_nnreal_ennreal",
+        "id": "Set.OrdConnected.preimage_coe_nnreal_ennreal",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            818,
+            35
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "Set.OrdConnected.preimage_coe_nnreal_ennreal",
+          "start": [
+            817,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      },
+      {
+        "error": "theorem has no selected tactic transitions",
+        "full_name": "Set.OrdConnected.preimage_ennreal_ofReal",
+        "id": "Set.OrdConnected.preimage_ennreal_ofReal",
+        "reason": "import_failure",
+        "selection": {
+          "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
+          "end": [
+            829,
+            55
+          ],
+          "file_path": "Mathlib/Data/ENNReal/Basic.lean",
+          "full_name": "Set.OrdConnected.preimage_ennreal_ofReal",
+          "start": [
+            828,
+            1
+          ],
+          "traced_tactics": [],
+          "url": "https://github.com/leanprover-community/mathlib4"
+        },
+        "source_file": "Mathlib/Data/ENNReal/Basic.lean"
+      }
+    ],
+    "input_proofs": 146,
+    "input_units": 2,
+    "proofs": 40,
+    "published_proofs": 40,
+    "published_transitions": 75,
+    "replay_failures": [],
+    "transitions": 75,
+    "validation_failures": [],
+    "validation_rejected_proofs": 0,
+    "zero_transition_proofs": 0
+  },
+  "shards": [
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+  "proof_ids": [
+    "mathlib:Batteries.DList.ofList_toList",
+    "mathlib:Batteries.DList.toList_append",
+    "mathlib:Batteries.DList.toList_cons",
+    "mathlib:Batteries.DList.toList_empty",
+    "mathlib:Batteries.DList.toList_ofList",
+    "mathlib:Batteries.DList.toList_push",
+    "mathlib:Batteries.DList.toList_singleton",
+    "mathlib:ENNReal.abs_toReal",
+    "mathlib:ENNReal.coe_mem_upperBounds",
+    "mathlib:ENNReal.coe_nnreal_eq",
+    "mathlib:ENNReal.coe_toNNReal_le_self",
+    "mathlib:ENNReal.exists_nat_gt",
+    "mathlib:ENNReal.iInf_ne_top",
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+    "mathlib:ENNReal.iInter_Ioi_coe_nat",
+    "mathlib:ENNReal.iUnion_Icc_coe_nat",
+    "mathlib:ENNReal.iUnion_Ico_coe_nat",
+    "mathlib:ENNReal.iUnion_Iio_coe_nat",
+    "mathlib:ENNReal.iUnion_Ioc_coe_nat",
+    "mathlib:ENNReal.iUnion_Ioo_coe_nat",
+    "mathlib:ENNReal.le_of_forall_pos_le_add",
+    "mathlib:ENNReal.le_of_top_imp_top_of_toNNReal_le",
+    "mathlib:ENNReal.lt_iff_exists_add_pos_lt",
+    "mathlib:ENNReal.lt_iff_exists_rat_btwn",
+    "mathlib:ENNReal.ofReal_natCast",
+    "mathlib:ENNReal.ofReal_one",
+    "mathlib:ENNReal.ofReal_toReal",
+    "mathlib:ENNReal.ofReal_toReal_eq_iff",
+    "mathlib:ENNReal.ofReal_zero",
+    "mathlib:ENNReal.toNNReal_eq_one_iff",
+    "mathlib:ENNReal.toNNReal_eq_toNNReal_iff'",
+    "mathlib:ENNReal.toNNReal_nat",
+    "mathlib:ENNReal.toReal_eq_one_iff",
+    "mathlib:ENNReal.toReal_eq_toReal_iff'",
+    "mathlib:ENNReal.toReal_eq_zero_iff",
+    "mathlib:ENNReal.toReal_le_coe_of_le_coe",
+    "mathlib:ENNReal.toReal_nat",
+    "mathlib:ENNReal.toReal_ofReal_eq_iff",
+    "mathlib:Set.OrdConnected.image_coe_nnreal_ennreal",
+    "mathlib:Set.OrdConnected.image_ennreal_ofReal"
+  ],
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+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/ENNReal/Basic.lean\",null,null,\"ENNReal.ofReal_one\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/ENNReal/Basic.lean\",null,null,\"ENNReal.ofReal_toReal\"]",
+    "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/Data/ENNReal/Basic.lean\",null,null,\"ENNReal.ofReal_toReal_eq_iff\"]",
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+  ]
+}

manifests/batches/numina/001640.json

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+  ]
+}

manifests/batches/numina/001641.json

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manifests/batches/numina/001642.json

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manifests/batches/numina/001643.json

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manifests/batches/numina/001644.json

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manifests/batches/numina/001646.json

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manifests/batches/numina/001648.json

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