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Datasets:
HyperCactus0
/
LeanTransitionCorpus

Tasks:
Text Generation
Tags:
lean
lean4
automated-theorem-proving
theorem-proving
formal-mathematics
mathematics
License:
Dataset card Data Studio Files
xet
 Community
1
HyperCactus0 commited on
Commit
f64f249
·
verified ·
1 Parent(s): 9568b96

Record 16 verified HPC batch manifests

Browse files
Files changed (16) hide show
  1. manifests/batches/deepseek/000435.json +148 -0
  2. manifests/batches/deepseek/000436.json +166 -0
  3. manifests/batches/deepseek/000437.json +166 -0
  4. manifests/batches/deepseek/000438.json +148 -0
  5. manifests/batches/deepseek/000440.json +148 -0
  6. manifests/batches/mathlib/000365.json +0 -0
  7. manifests/batches/mathlib/000367.json +272 -0
  8. manifests/batches/mathlib/000368.json +0 -0
  9. manifests/batches/mathlib/000369.json +229 -0
  10. manifests/batches/mathlib/000370.json +0 -0
  11. manifests/batches/mathlib/000371.json +132 -0
  12. manifests/batches/numina/001124.json +44 -0
  13. manifests/batches/numina/001125.json +52 -0
  14. manifests/batches/numina/001126.json +44 -0
  15. manifests/batches/numina/001127.json +52 -0
  16. manifests/batches/numina/001128.json +52 -0
manifests/batches/deepseek/000435.json ADDED
@@ -0,0 +1,148 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ {
2
+ "format": "leangpt-parquet-v2",
3
+ "batch": "deepseek/000435",
4
+ "batch_fingerprint": "49a91aef5ee6d2a64bfc8aa8058ba5b4ee46d673b6328db82bc573a4b72b7e3e",
5
+ "evidence": {
6
+ "batch_fingerprint": "49a91aef5ee6d2a64bfc8aa8058ba5b4ee46d673b6328db82bc573a4b72b7e3e",
7
+ "contamination_matches": [],
8
+ "failures": [],
9
+ "input_proofs": 50,
10
+ "input_units": 50,
11
+ "proofs": 50,
12
+ "published_proofs": 50,
13
+ "published_transitions": 111,
14
+ "replay_failures": [],
15
+ "trace_mode": "individual",
16
+ "transitions": 111,
17
+ "validation_failures": [],
18
+ "validation_rejected_proofs": 0,
19
+ "zero_transition_proofs": 0
20
+ },
21
+ "shards": [
22
+ {
23
+ "path": "data/train/deepseek-000435-0000-70eae3edb3a52c90.parquet",
24
+ "sha256": "70eae3edb3a52c90bea27bda580fa3a960bec6672df682e3aed8075fffd35a04",
25
+ "bytes": 282280,
26
+ "rows": 89,
27
+ "revision": "9568b96f79cb4f4ac6299534c87155a6e53a16eb"
28
+ },
29
+ {
30
+ "path": "data/dev/deepseek-000435-0000-322c398bfcdc334a.parquet",
31
+ "sha256": "322c398bfcdc334a676ca8694524160b34a2dec6170ab6fb661f6d49a4ad79fc",
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+ "bytes": 40221,
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+ "rows": 8,
34
+ "revision": "9568b96f79cb4f4ac6299534c87155a6e53a16eb"
35
+ },
36
+ {
37
+ "path": "data/internal_test/deepseek-000435-0000-b5ea3d2f976cf219.parquet",
38
+ "sha256": "b5ea3d2f976cf219ce3a742922581dea06c9e98cd147f48086307849814b225a",
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+ "bytes": 56068,
40
+ "rows": 14,
41
+ "revision": "9568b96f79cb4f4ac6299534c87155a6e53a16eb"
42
+ }
43
+ ],
44
+ "proof_ids": [
45
+ "deepseek:thm_21796",
46
+ "deepseek:thm_21797",
47
+ "deepseek:thm_21798",
48
+ "deepseek:thm_21799",
49
+ "deepseek:thm_21800",
50
+ "deepseek:thm_21801",
51
+ "deepseek:thm_21802",
52
+ "deepseek:thm_21803",
53
+ "deepseek:thm_21804",
54
+ "deepseek:thm_21805",
55
+ "deepseek:thm_21806",
56
+ "deepseek:thm_21807",
57
+ "deepseek:thm_21808",
58
+ "deepseek:thm_21809",
59
+ "deepseek:thm_21810",
60
+ "deepseek:thm_21811",
61
+ "deepseek:thm_21812",
62
+ "deepseek:thm_21813",
63
+ "deepseek:thm_21814",
64
+ "deepseek:thm_21815",
65
+ "deepseek:thm_21816",
66
+ "deepseek:thm_21817",
67
+ "deepseek:thm_21818",
68
+ "deepseek:thm_21819",
69
+ "deepseek:thm_21820",
70
+ "deepseek:thm_21821",
71
+ "deepseek:thm_21822",
72
+ "deepseek:thm_21823",
73
+ "deepseek:thm_21824",
74
+ "deepseek:thm_21825",
75
+ "deepseek:thm_21826",
76
+ "deepseek:thm_21827",
77
+ "deepseek:thm_21828",
78
+ "deepseek:thm_21829",
79
+ "deepseek:thm_21830",
80
+ "deepseek:thm_21831",
81
+ "deepseek:thm_21832",
82
+ "deepseek:thm_21833",
83
+ "deepseek:thm_21834",
84
+ "deepseek:thm_21835",
85
+ "deepseek:thm_21836",
86
+ "deepseek:thm_21837",
87
+ "deepseek:thm_21838",
88
+ "deepseek:thm_21839",
89
+ "deepseek:thm_21840",
90
+ "deepseek:thm_21841",
91
+ "deepseek:thm_21842",
92
+ "deepseek:thm_21843",
93
+ "deepseek:thm_21844",
94
+ "deepseek:thm_21845"
95
+ ],
96
+ "proof_keys": [
97
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021750.lean\",\"46f1736ad5d04f87e378e1b4da64cb37b6e8227f979b54277598bb3687f1dbed\",0,\"thm_21796\"]",
98
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021751.lean\",\"f80e9e33c1857d7044ca165d2bfe4f45067875713ff8dea78a93fb9e0a436a0e\",0,\"thm_21797\"]",
99
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021752.lean\",\"5f083cfcc9048c09c4087ad9507026b3a07c79c4f135ca3216053206fdd4de49\",0,\"thm_21798\"]",
100
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021753.lean\",\"d2627874a8c02702b7e3c406dbc0541b46657129a3c07475b0b85ccb9fe89538\",0,\"thm_21799\"]",
101
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021754.lean\",\"cdc431077060a7dd64302fab23f4d7b2a025ef0daaf405dcd86aed5ebff50e7e\",0,\"thm_21800\"]",
102
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021755.lean\",\"c4b8ede59bf77d083bdcb2e3185315ebf4dc34d443b9fa2ee099ea6902a22432\",0,\"thm_21801\"]",
103
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021756.lean\",\"6db8c7c9788a8626f37125516af9985658dedc428cfc6d038a2b3b63e07a0253\",0,\"thm_21802\"]",
104
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021757.lean\",\"a28ea339ed340beee1f8a2ef00b506e327862bc85de4bd40ff69f9ca82e32a0d\",0,\"thm_21803\"]",
105
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021758.lean\",\"c7cb3bebbbd2d58a8e02646045157e23216fa080b1e613717e1c0b7e47340013\",0,\"thm_21804\"]",
106
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021759.lean\",\"764c11b932e4c9406a8fdbe8644ce73379de4d252c72879a92f219671299bd9d\",0,\"thm_21805\"]",
107
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021760.lean\",\"1a85983f970ead411be147b113265f33fff0a498a9938decaf525287ab580272\",0,\"thm_21806\"]",
108
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021761.lean\",\"f01ba17002ae44a5556bae6102ea7624e66946db106898f2150c9e56b5e8306a\",0,\"thm_21807\"]",
109
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021762.lean\",\"f76afb44e17e7b9e85dd57c87436a2b4e20fc9123d6f3105e011ca1e0d9ee7ff\",0,\"thm_21808\"]",
110
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021763.lean\",\"d7e9726752ab873bbf0cfd9d7ca2d07ffb13d44f2fbc5ea557e524fb792731de\",0,\"thm_21809\"]",
111
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021764.lean\",\"88cf0d554180f487a145a91b8295c930ec4461b0c3cb6ccdd6420b6288d47466\",0,\"thm_21810\"]",
112
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021765.lean\",\"8d2e5bd1ae2446500169a2eac974f551d5250278e0a861f6b4ab8c18b6b18aac\",0,\"thm_21811\"]",
113
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021766.lean\",\"ab2c141da951a7f170d2b2ded614c5f2fcf47f1778ec53d642b945ffaedb9321\",0,\"thm_21812\"]",
114
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021767.lean\",\"cec2e480dc8a6a68f16b25bdaf9cf4ffaa43ea5b4e7f260840135bd7ae79ac7f\",0,\"thm_21813\"]",
115
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021768.lean\",\"7759580401e683ee2ae1209e128576901980e1aa9b81d43a1ef6cc436e97dd29\",0,\"thm_21814\"]",
116
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021769.lean\",\"0a61673f3aa6d3512c958ed0d38f8947c3b55f7964cfa1129210a4e765df21d7\",0,\"thm_21815\"]",
117
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021770.lean\",\"f631f7d0201dd1ca1ef8616eededba4bdc908e19d82db0f9bc6ef6edf63fe714\",0,\"thm_21816\"]",
118
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021771.lean\",\"88ea0f1761063f6e7ce2ba0cc492cfb9a49d39ee9ab39cbc4c4036f5f135124c\",0,\"thm_21817\"]",
119
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021772.lean\",\"6e3b8400a3c0403efadbf4d803a5186a36e767f1caade7af543dce054da281c5\",0,\"thm_21818\"]",
120
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021773.lean\",\"0236c1444c28ffef877a28ab438f4425d5b1f76444aa344f3c0f9dcc5e8e4e37\",0,\"thm_21819\"]",
121
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021774.lean\",\"cae7126e2c6b7e2266479dcef0e35f5a377bce4ab21f94b32b6c181ae2e1af7d\",0,\"thm_21820\"]",
122
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021775.lean\",\"096880d2c997ca55c5aa8007a9bde4026f00259a333f91ff5b33ce9f61103646\",0,\"thm_21821\"]",
123
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021776.lean\",\"ccd07d9f75ec1b3cd6ea4af1f37ea2a8a8574493adc759c1f05b395dde014b14\",0,\"thm_21822\"]",
124
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021777.lean\",\"6b1af7def29d47fbe9bd8cd62ebaf130d68286f86a9812607b1e61baac873608\",0,\"thm_21823\"]",
125
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021778.lean\",\"f1b1a1660fe1ec0b8219eafdf0ae2614087b78f43a34c13750665c77d5280b41\",0,\"thm_21824\"]",
126
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021779.lean\",\"95e5b267d8410f5666e3eb2f06f2bf7fe03ef1415ddb99fd804145a8311db3de\",0,\"thm_21825\"]",
127
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021780.lean\",\"9548d6e81e7b463be09738b0d81f4cb88a6e374f75142fc76aee364c6c39229c\",0,\"thm_21826\"]",
128
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021781.lean\",\"036bf5acd094013c8a5715e56326bc3fadfcfa0783f6ea1a5e61cb0428aecf1d\",0,\"thm_21827\"]",
129
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021782.lean\",\"269aeb2a9e0efb11aca947592094465f13dc3df977a5f1fc4d19ab8a0d5a7b8f\",0,\"thm_21828\"]",
130
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021783.lean\",\"2eaa6b5aeba8de10986efd84cb6880684312fdfda3cf19203036ecc14a0e1b76\",0,\"thm_21829\"]",
131
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021784.lean\",\"72afc12531315f4d0f4440fa9e67bb6b2e978d8e555118e5363e164fd82d35d6\",0,\"thm_21830\"]",
132
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021785.lean\",\"28dd50635684accdbea16b03f0984ec892795d26ddd3401d065fff46ff60cc5e\",0,\"thm_21831\"]",
133
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021786.lean\",\"bde7be2dca5cc83da6b9b8a4b7a62655668a43c2b268384c58b289bdc2b2117d\",0,\"thm_21832\"]",
134
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021787.lean\",\"1cbccfda2d859aa0632a97ad445ce963c4a3c4ae385b8e7aedd182a9093d523f\",0,\"thm_21833\"]",
135
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021788.lean\",\"f15b94834e0528ef0b37d6e19f07f74c564b2562c1bff6aeb0161039313b6a7c\",0,\"thm_21834\"]",
136
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021789.lean\",\"88604476f570e4e824eb9270eadc4841de2569a7267ee7b843abf8aeb295fd77\",0,\"thm_21835\"]",
137
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021790.lean\",\"7127e1d56dcd2bc96af3188952e161f6fd26a5073f0f5f014706e05458ecda95\",0,\"thm_21836\"]",
138
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021791.lean\",\"74f63fb4399ce8f9a0bd7c5eab92fa43475ffffc977778491611efcd2b41d884\",0,\"thm_21837\"]",
139
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021792.lean\",\"0f633eb050077c313b157e688b0aa66e76760ed627b798e5e4a408e0c66ef4e6\",0,\"thm_21838\"]",
140
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021793.lean\",\"5ac42a49f5ccc644ce24a332a306de9367fa7211391fb7589411d052792b99cc\",0,\"thm_21839\"]",
141
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021794.lean\",\"fa3b155740af32715e476f1420d054a2152b1803ae7e777284cbaa3b48c08327\",0,\"thm_21840\"]",
142
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021795.lean\",\"95c8fe0d4ddb0f5f05a1bc2d4d3bdcca76d71d75a9f117a339340ed3a3be190f\",0,\"thm_21841\"]",
143
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021796.lean\",\"313de6bdc8129128179b53f7acac72e6eb0c47e6b696a21e5901205417f8b1c0\",0,\"thm_21842\"]",
144
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021797.lean\",\"aec8f646f149551b9b9adc709e5aa0e33036a78d29dfb1d41840d6283e8d50bc\",0,\"thm_21843\"]",
145
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021798.lean\",\"0af952234007904f1563356c601fc7ca34ac2261635a90dfcc0fc08c2b3c0304\",0,\"thm_21844\"]",
146
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021799.lean\",\"ea864ecf498fd1fd019755de516ea61cec78d808d9604ef4a8ddc0582f5d1961\",0,\"thm_21845\"]"
147
+ ]
148
+ }
manifests/batches/deepseek/000436.json ADDED
@@ -0,0 +1,166 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ {
2
+ "format": "leangpt-parquet-v2",
3
+ "batch": "deepseek/000436",
4
+ "batch_fingerprint": "f5acf3e77949ff07a622cfa5de369d08e31a8bb0cfb1238e7755cfe438da64cb",
5
+ "evidence": {
6
+ "batch_fingerprint": "f5acf3e77949ff07a622cfa5de369d08e31a8bb0cfb1238e7755cfe438da64cb",
7
+ "contamination_matches": [],
8
+ "failures": [
9
+ {
10
+ "error": "final replayable tactic does not close all goals",
11
+ "id": "thm_21850",
12
+ "index": 21804,
13
+ "reason": "import_failure",
14
+ "selection": {
15
+ "file_path": "Full/Proof_021804.lean",
16
+ "id": "thm_21850",
17
+ "index": 21804,
18
+ "metadata": {
19
+ "declaration_kind": "theorem",
20
+ "source_dataset": "deepseek",
21
+ "theorem_name": "thm_21850",
22
+ "theorem_ordinal": 0
23
+ },
24
+ "source_sha256": "b86c6da2caac96d80c17aff60bbc579f73c2877c8f48fe1b3b5537c558938f11"
25
+ },
26
+ "source_file": "Full/Proof_021804.lean"
27
+ }
28
+ ],
29
+ "input_proofs": 50,
30
+ "input_units": 50,
31
+ "proofs": 49,
32
+ "published_proofs": 49,
33
+ "published_transitions": 111,
34
+ "replay_failures": [],
35
+ "trace_mode": "individual",
36
+ "transitions": 111,
37
+ "validation_failures": [],
38
+ "validation_rejected_proofs": 0,
39
+ "zero_transition_proofs": 0
40
+ },
41
+ "shards": [
42
+ {
43
+ "path": "data/train/deepseek-000436-0000-c73b56067b147a65.parquet",
44
+ "sha256": "c73b56067b147a654aafb8d0fbe8e290ad1008dcd0026e137d661f2185db705b",
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+ "bytes": 317188,
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+ "rows": 95,
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+ "revision": "9568b96f79cb4f4ac6299534c87155a6e53a16eb"
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+ },
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+ {
50
+ "path": "data/dev/deepseek-000436-0000-660c3d54c7aa7bb3.parquet",
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+ ]
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+ }
manifests/batches/deepseek/000437.json ADDED
@@ -0,0 +1,166 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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+ "id": "thm_21927",
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+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_021898.lean\",\"037e6d8aafc238be7c7171111feb15fa2a6ed5285b81312e5fffa93978dc0d30\",0,\"thm_21944\"]",
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165
+ ]
166
+ }
manifests/batches/deepseek/000438.json ADDED
@@ -0,0 +1,148 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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+ "contamination_matches": [],
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+ "failures": [],
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+ "proofs": 50,
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+ "published_proofs": 50,
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+ "published_transitions": 113,
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+ "replay_failures": [],
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+ "trace_mode": "individual",
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+ "transitions": 113,
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+ "validation_failures": [],
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+ "validation_rejected_proofs": 0,
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+ "zero_transition_proofs": 0
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+ "shards": [
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+ "path": "data/train/deepseek-000438-0000-02bb84e1b7a9d3e9.parquet",
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+ "deepseek:thm_21948",
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+ "deepseek:thm_21994",
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+ "deepseek:thm_21995",
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+ ],
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+ ]
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+ }
manifests/batches/deepseek/000440.json ADDED
@@ -0,0 +1,148 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022032.lean\",\"444fa092bc2a1b11f4f32cc2e1f0119e7aa6c378b73b457876a0420b1d7322ff\",0,\"thm_22079\"]",
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+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022033.lean\",\"9f8f9a9fc7b3bdbd01953d175de55c9d0236a37c9f3e44f0c9c370663b8e28d1\",0,\"thm_22080\"]",
131
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022034.lean\",\"65218d61073d69f5b9c98c232060def2b2ba91cd1c219faa5912b83d26441726\",0,\"thm_22081\"]",
132
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022035.lean\",\"ccf6c0112f059be7e71b8d799ef3446b74cc15bfcab43ea54f04974a0f2ea61e\",0,\"thm_22082\"]",
133
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022036.lean\",\"b16eb5798c3e9570b49a67a4b049d6cf20c68c64c0b59e22b6cd9917a4613f8e\",0,\"thm_22083\"]",
134
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022037.lean\",\"99d0317dc55a0e98f7d51852025ac2ae39a62afcacf0bef964359d9502f6d194\",0,\"thm_22084\"]",
135
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022038.lean\",\"a85e0b0d62e9a12f536120fbe57e1daa457458b7df346fbc1e6753eb99506e17\",0,\"thm_22085\"]",
136
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022039.lean\",\"efe1eb964148260fa821ea3259a2dad4303c6ec0e324dcba3f9c4c982c74685f\",0,\"thm_22086\"]",
137
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022040.lean\",\"3867c4e269aa72df2e14b4cdd05c0619d4a4c59007305649231b0c98eb41544d\",0,\"thm_22087\"]",
138
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022041.lean\",\"6c47e2fccc0f24bccc98ba81af7dce9fd407e736a71c71803b8657b6b702363d\",0,\"thm_22088\"]",
139
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022042.lean\",\"c08c04e1302137a6e87e6fce6f36ec09789d15aed1a46f20ff7d69025af6a640\",0,\"thm_22089\"]",
140
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022043.lean\",\"6d38ac0a2a993adada0d7aa60bd7c0c5837246fcd168380929e3ebc328d70aed\",0,\"thm_22090\"]",
141
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022044.lean\",\"81661f5ef725a75223b3a5924e0f1793233c1b87151f9482f6cfaa4b84d6e866\",0,\"thm_22091\"]",
142
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022045.lean\",\"9e6905e16b19740b605c6b3b713e85c2b81bf0924161b32455285494487ad483\",0,\"thm_22092\"]",
143
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022046.lean\",\"6fc03f69678a420a3874473f6b8b81eae80265b8040f0d13419d151046c11d15\",0,\"thm_22093\"]",
144
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022047.lean\",\"6c4ad3584858fa01790210b0a76de5dbf06199f53e21472f5777c10d3c8da689\",0,\"thm_22094\"]",
145
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022048.lean\",\"bb9f40474f8653a7cbe6a4f043c0a9c53a252c30794a0ae90dc6ca8525755e77\",0,\"thm_22095\"]",
146
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_022049.lean\",\"a6128a647a7fe84b3eb2515bfc3ffdf08d9e38a3f434c19d181214fd3dd45016\",0,\"thm_22096\"]"
147
+ ]
148
+ }
manifests/batches/mathlib/000365.json ADDED
The diff for this file is too large to render. See raw diff
 
manifests/batches/mathlib/000367.json ADDED
@@ -0,0 +1,272 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ {
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+ "format": "leangpt-parquet-v2",
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+ "batch": "mathlib/000367",
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+ "batch_fingerprint": "e962ec056f8cc6dd64d62c6ae4f938861dbecc512c4ae0220d1ff8429a9b1244",
5
+ "evidence": {
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+ "batch_fingerprint": "e962ec056f8cc6dd64d62c6ae4f938861dbecc512c4ae0220d1ff8429a9b1244",
7
+ "contamination_matches": [],
8
+ "failures": [
9
+ {
10
+ "error": "theorem has no selected tactic transitions",
11
+ "full_name": "CategoryTheory.CechNerveTerminalFrom.wideCospan.limitIsoPi_inv_comp_pi",
12
+ "id": "CategoryTheory.CechNerveTerminalFrom.wideCospan.limitIsoPi_inv_comp_pi",
13
+ "reason": "import_failure",
14
+ "selection": {
15
+ "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
16
+ "end": [
17
+ 425,
18
+ 48
19
+ ],
20
+ "file_path": "Mathlib/AlgebraicTopology/CechNerve.lean",
21
+ "full_name": "CategoryTheory.CechNerveTerminalFrom.wideCospan.limitIsoPi_inv_comp_pi",
22
+ "start": [
23
+ 422,
24
+ 1
25
+ ],
26
+ "traced_tactics": [],
27
+ "url": "https://github.com/leanprover-community/mathlib4"
28
+ },
29
+ "source_file": "Mathlib/AlgebraicTopology/CechNerve.lean"
30
+ },
31
+ {
32
+ "error": "no internal trace for tactic 'congr 2'",
33
+ "full_name": "AlgebraicTopology.DoldKan.Compatibility.equivalenceCounitIso_eq",
34
+ "id": "AlgebraicTopology.DoldKan.Compatibility.equivalenceCounitIso_eq",
35
+ "reason": "import_failure",
36
+ "selection": {
37
+ "commit": "29dcec074de168ac2bf835a77ef68bbe069194c5",
38
+ "end": [
39
+ 227,
40
+ 93
41
+ ],
42
+ "file_path": "Mathlib/AlgebraicTopology/DoldKan/Compatibility.lean",
43
+ "full_name": "AlgebraicTopology.DoldKan.Compatibility.equivalenceCounitIso_eq",
44
+ "start": [
45
+ 215,
46
+ 1
47
+ ],
48
+ "traced_tactics": [
49
+ {
50
+ "annotated_tactic": [
51
+ "\"ext1\"",
52
+ "[]"
53
+ ],
54
+ "state_after": "case w\nA : Type u_1\nA' : Type u_2\nB : Type u_3\nB' : Type u_4\ninst\u271d\u00b3 : Category.{u_6, u_1} A\ninst\u271d\u00b2 : Category.{u_7, u_2} A'\ninst\u271d\u00b9 : Category.{u_5, u_3} B\ninst\u271d : Category.{u_8, u_4} B'\neA : A \u224c A'\neB : B \u224c B'\ne' : A' \u224c B'\nF : A \u2964 B'\nhF : eA.functor \u22d9 e'.functor \u2245 F\nG : B \u2964 A\nhG : eB.functor \u22d9 e'.inverse \u2245 G \u22d9 eA.functor\n\u03b7 : G \u22d9 F \u2245 eB.functor\nh\u03b7 : \u03c4\u2080 = \u03c4\u2081 hF hG \u03b7\n\u22a2 (equivalence hF hG).counitIso.hom = (equivalenceCounitIso \u03b7).hom",
55
+ "state_before": "A : Type u_1\nA' : Type u_2\nB : Type u_3\nB' : Type u_4\ninst\u271d\u00b3 : Category.{u_6, u_1} A\ninst\u271d\u00b2 : Category.{u_7, u_2} A'\ninst\u271d\u00b9 : Category.{u_5, u_3} B\ninst\u271d : Category.{u_8, u_4} B'\neA : A \u224c A'\neB : B \u224c B'\ne' : A' \u224c B'\nF : A \u2964 B'\nhF : eA.functor \u22d9 e'.functor \u2245 F\nG : B \u2964 A\nhG : eB.functor \u22d9 e'.inverse \u2245 G \u22d9 eA.functor\n\u03b7 : G \u22d9 F \u2245 eB.functor\nh\u03b7 : \u03c4\u2080 = \u03c4\u2081 hF hG \u03b7\n\u22a2 (equivalence hF hG).counitIso = equivalenceCounitIso \u03b7",
56
+ "tactic": "ext1"
57
+ },
58
+ {
59
+ "annotated_tactic": [
60
+ "\"apply <a>NatTrans.ext<\\/a>\"",
61
+ "[{\"full_name\":\"CategoryTheory.NatTrans.ext\",\"def_path\":\"Mathlib\\/CategoryTheory\\/NatTrans.lean\",\"def_pos\":[47,3],\"def_end_pos\":[47,6]}]"
62
+ ],
63
+ "state_after": "case w.app\nA : Type u_1\nA' : Type u_2\nB : Type u_3\nB' : Type u_4\ninst\u271d\u00b3 : Category.{u_6, u_1} A\ninst\u271d\u00b2 : Category.{u_7, u_2} A'\ninst\u271d\u00b9 : Category.{u_5, u_3} B\ninst\u271d : Category.{u_8, u_4} B'\neA : A \u224c A'\neB : B \u224c B'\ne' : A' \u224c B'\nF : A \u2964 B'\nhF : eA.functor \u22d9 e'.functor \u2245 F\nG : B \u2964 A\nhG : eB.functor \u22d9 e'.inverse \u2245 G \u22d9 eA.functor\n\u03b7 : G \u22d9 F \u2245 eB.functor\nh\u03b7 : \u03c4\u2080 = \u03c4\u2081 hF hG \u03b7\n\u22a2 (equivalence hF hG).counitIso.hom.app = (equivalenceCounitIso \u03b7).hom.app",
64
+ "state_before": "case w\nA : Type u_1\nA' : Type u_2\nB : Type u_3\nB' : Type u_4\ninst\u271d\u00b3 : Category.{u_6, u_1} A\ninst\u271d\u00b2 : Category.{u_7, u_2} A'\ninst\u271d\u00b9 : Category.{u_5, u_3} B\ninst\u271d : Category.{u_8, u_4} B'\neA : A \u224c A'\neB : B \u224c B'\ne' : A' \u224c B'\nF : A \u2964 B'\nhF : eA.functor \u22d9 e'.functor \u2245 F\nG : B \u2964 A\nhG : eB.functor \u22d9 e'.inverse \u2245 G \u22d9 eA.functor\n\u03b7 : G \u22d9 F \u2245 eB.functor\nh\u03b7 : \u03c4\u2080 = \u03c4\u2081 hF hG \u03b7\n\u22a2 (equivalence hF hG).counitIso.hom = (equivalenceCounitIso \u03b7).hom",
65
+ "tactic": "apply NatTrans.ext"
66
+ },
67
+ {
68
+ "annotated_tactic": [
69
+ "\"ext Y\"",
70
+ "[]"
71
+ ],
72
+ "state_after": "case w.app.h\nA : Type u_1\nA' : Type u_2\nB : Type u_3\nB' : Type u_4\ninst\u271d\u00b3 : Category.{u_6, u_1} A\ninst\u271d\u00b2 : Category.{u_7, u_2} A'\ninst\u271d\u00b9 : Category.{u_5, u_3} B\ninst\u271d : Category.{u_8, u_4} B'\neA : A \u224c A'\neB : B \u224c B'\ne' : A' \u224c B'\nF : A \u2964 B'\nhF : eA.functor \u22d9 e'.functor \u2245 F\nG : B \u2964 A\nhG : eB.functor \u22d9 e'.inverse \u2245 G \u22d9 eA.functor\n\u03b7 : G \u22d9 F \u2245 eB.functor\nh\u03b7 : \u03c4\u2080 = \u03c4\u2081 hF hG \u03b7\nY : B\n\u22a2 (equivalence hF hG).counitIso.hom.app Y = (equivalenceCounitIso \u03b7).hom.app Y",
73
+ "state_before": "case w.app\nA : Type u_1\nA' : Type u_2\nB : Type u_3\nB' : Type u_4\ninst\u271d\u00b3 : Category.{u_6, u_1} A\ninst\u271d\u00b2 : Category.{u_7, u_2} A'\ninst\u271d\u00b9 : Category.{u_5, u_3} B\ninst\u271d : Category.{u_8, u_4} B'\neA : A \u224c A'\neB : B \u224c B'\ne' : A' \u224c B'\nF : A \u2964 B'\nhF : eA.functor \u22d9 e'.functor \u2245 F\nG : B \u2964 A\nhG : eB.functor \u22d9 e'.inverse \u2245 G \u22d9 eA.functor\n\u03b7 : G \u22d9 F \u2245 eB.functor\nh\u03b7 : \u03c4\u2080 = \u03c4\u2081 hF hG \u03b7\n\u22a2 (equivalence hF hG).counitIso.hom.app = (equivalenceCounitIso \u03b7).hom.app",
74
+ "tactic": "ext Y"
75
+ },
76
+ {
77
+ "annotated_tactic": [
78
+ "\"dsimp [<a>equivalence<\\/a>]\"",
79
+ "[{\"full_name\":\"AlgebraicTopology.DoldKan.Compatibility.equivalence\",\"def_path\":\"Mathlib\\/AlgebraicTopology\\/DoldKan\\/Compatibility.lean\",\"def_pos\":[165,5],\"def_end_pos\":[165,16]}]"
80
+ ],
81
+ "state_after": "case w.app.h\nA : Type u_1\nA' : Type u_2\nB : Type u_3\nB' : Type u_4\ninst\u271d\u00b3 : Category.{u_6, u_1} A\ninst\u271d\u00b2 : Category.{u_7, u_2} A'\ninst\u271d\u00b9 : Category.{u_5, u_3} B\ninst\u271d : Category.{u_8, u_4} B'\neA : A \u224c A'\neB : B \u224c B'\ne' : A' \u224c B'\nF : A \u2964 B'\nhF : eA.functor \u22d9 e'.functor \u2245 F\nG : B \u2964 A\nhG : eB.functor \u22d9 e'.inverse \u2245 G \u22d9 eA.functor\n\u03b7 : G \u22d9 F \u2245 eB.functor\nh\u03b7 : \u03c4\u2080 = \u03c4\u2081 hF hG \u03b7\nY : B\n\u22a2 eB.inverse.map\n (F.map\n (\ud835\udfd9 (G.obj Y) \u226b\n eA.unitIso.hom.app (G.obj Y) \u226b\n eA.inverse.map (hG.inv.app Y) \u226b \ud835\udfd9 (eA.inverse.obj (e'.inverse.obj (eB.functor.obj Y))))) \u226b\n (equivalence\u2082 eB hF).counitIso.hom.app Y =\n (equivalenceCounitIso \u03b7).hom.app Y",
82
+ "state_before": "case w.app.h\nA : Type u_1\nA' : Type u_2\nB : Type u_3\nB' : Type u_4\ninst\u271d\u00b3 : Category.{u_6, u_1} A\ninst\u271d\u00b2 : Category.{u_7, u_2} A'\ninst\u271d\u00b9 : Category.{u_5, u_3} B\ninst\u271d : Category.{u_8, u_4} B'\neA : A \u224c A'\neB : B \u224c B'\ne' : A' \u224c B'\nF : A \u2964 B'\nhF : eA.functor \u22d9 e'.functor \u2245 F\nG : B \u2964 A\nhG : eB.functor \u22d9 e'.inverse \u2245 G \u22d9 eA.functor\n\u03b7 : G \u22d9 F \u2245 eB.functor\nh\u03b7 : \u03c4\u2080 = \u03c4\u2081 hF hG \u03b7\nY : B\n\u22a2 (equivalence hF hG).counitIso.hom.app Y = (equivalenceCounitIso \u03b7).hom.app Y",
83
+ "tactic": "dsimp [equivalence]"
84
+ },
85
+ {
86
+ "annotated_tactic": [
87
+ "\"simp only [<a>comp_id<\\/a>, <a>id_comp<\\/a>, <a>Functor.map_comp<\\/a>, <a>equivalence\\u2082CounitIso_eq<\\/a>,\\n <a>equivalence\\u2082CounitIso_hom_app<\\/a>, <a>assoc<\\/a>, <a>equivalenceCounitIso_hom_app<\\/a>]\"",
88
+ "[{\"full_name\":\"CategoryTheory.Category.comp_id\",\"def_path\":\"Mathlib\\/CategoryTheory\\/Category\\/Basic.lean\",\"def_pos\":[179,3],\"def_end_pos\":[179,10]},{\"full_name\":\"CategoryTheory.Category.id_comp\",\"def_path\":\"Mathlib\\/CategoryTheory\\/Category\\/Basic.lean\",\"def_pos\":[177,3],\"def_end_pos\":[177,10]},{\"full_name\":\"CategoryTheory.Functor.map_comp\",\"def_path\":\"Mathlib\\/CategoryTheory\\/Functor\\/Basic.lean\",\"def_pos\":[43,3],\"def_end_pos\":[43,11]},{\"full_name\":\"AlgebraicTopology.DoldKan.Compatibility.equivalence\\u2082CounitIso_eq\",\"def_path\":\"Mathlib\\/AlgebraicTopology\\/DoldKan\\/Compatibility.lean\",\"def_pos\":[133,9],\"def_end_pos\":[133,33]},{\"full_name\":\"AlgebraicTopology.DoldKan.Compatibility.equivalence\\u2082CounitIso_hom_app\",\"def_path\":\"Mathlib\\/AlgebraicTopology\\/DoldKan\\/Compatibility.lean\",\"def_pos\":[121,3],\"def_end_pos\":[121,9]},{\"full_name\":\"CategoryTheory.Category.assoc\",\"def_path\":\"Mathlib\\/CategoryTheory\\/Category\\/Basic.lean\",\"def_pos\":[181,3],\"def_end_pos\":[181,8]},{\"full_name\":\"AlgebraicTopology.DoldKan.Compatibility.equivalenceCounitIso_hom_app\",\"def_path\":\"Mathlib\\/AlgebraicTopology\\/DoldKan\\/Compatibility.lean\",\"def_pos\":[205,3],\"def_end_pos\":[205,9]}]"
89
+ ],
90
+ "state_after": "case w.app.h\nA : Type u_1\nA' : Type u_2\nB : Type u_3\nB' : Type u_4\ninst\u271d\u00b3 : Category.{u_6, u_1} A\ninst\u271d\u00b2 : Category.{u_7, u_2} A'\ninst\u271d\u00b9 : Category.{u_5, u_3} B\ninst\u271d : Category.{u_8, u_4} B'\neA : A \u224c A'\neB : B \u224c B'\ne' : A' \u224c B'\nF : A \u2964 B'\nhF : eA.functor \u22d9 e'.functor \u2245 F\nG : B \u2964 A\nhG : eB.functor \u22d9 e'.inverse \u2245 G \u22d9 eA.functor\n\u03b7 : G \u22d9 F \u2245 eB.functor\nh\u03b7 : \u03c4\u2080 = \u03c4\u2081 hF hG \u03b7\nY : B\n\u22a2 eB.inverse.map (F.map (eA.unitIso.hom.app (G.obj Y))) \u226b\n eB.inverse.map (F.map (eA.inverse.map (hG.inv.app Y))) \u226b\n eB.inverse.map (hF.inv.app (eA.inverse.obj (e'.inverse.obj (eB.functor.obj Y)))) \u226b\n eB.inverse.map (e'.functor.map (eA.counitIso.hom.app (e'.inverse.obj (eB.functor.obj Y)))) \u226b\n eB.inverse.map (e'.counitIso.hom.app (eB.functor.obj Y)) \u226b eB.unitIso.inv.app Y =\n eB.inverse.map (\u03b7.hom.app Y) \u226b eB.unitIso.inv.app Y",
91
+ "state_before": "case w.app.h\nA : Type u_1\nA' : Type u_2\nB : Type u_3\nB' : Type u_4\ninst\u271d\u00b3 : Category.{u_6, u_1} A\ninst\u271d\u00b2 : Category.{u_7, u_2} A'\ninst\u271d\u00b9 : Category.{u_5, u_3} B\ninst\u271d : Category.{u_8, u_4} B'\neA : A \u224c A'\neB : B \u224c B'\ne' : A' \u224c B'\nF : A \u2964 B'\nhF : eA.functor \u22d9 e'.functor \u2245 F\nG : B \u2964 A\nhG : eB.functor \u22d9 e'.inverse \u2245 G \u22d9 eA.functor\n\u03b7 : G \u22d9 F \u2245 eB.functor\nh\u03b7 : \u03c4\u2080 = \u03c4\u2081 hF hG \u03b7\nY : B\n\u22a2 eB.inverse.map\n (F.map\n (\ud835\udfd9 (G.obj Y) \u226b\n eA.unitIso.hom.app (G.obj Y) \u226b\n eA.inverse.map (hG.inv.app Y) \u226b \ud835\udfd9 (eA.inverse.obj (e'.inverse.obj (eB.functor.obj Y))))) \u226b\n (equivalence\u2082 eB hF).counitIso.hom.app Y =\n (equivalenceCounitIso \u03b7).hom.app Y",
92
+ "tactic": "simp only [comp_id, id_comp, Functor.map_comp, equivalence\u2082CounitIso_eq,\n equivalence\u2082CounitIso_hom_app, assoc, equivalenceCounitIso_hom_app]"
93
+ },
94
+ {
95
+ "annotated_tactic": [
96
+ "\"simp only [\\u2190 eB.inverse.map_comp_assoc, \\u2190 <a>\\u03c4\\u2080_hom_app<\\/a>, h\\u03b7, <a>\\u03c4\\u2081_hom_app<\\/a>]\"",
97
+ "[{\"full_name\":\"AlgebraicTopology.DoldKan.Compatibility.\\u03c4\\u2080_hom_app\",\"def_path\":\"Mathlib\\/AlgebraicTopology\\/DoldKan\\/Compatibility.lean\",\"def_pos\":[180,10],\"def_end_pos\":[180,17]},{\"full_name\":\"AlgebraicTopology.DoldKan.Compatibility.\\u03c4\\u2081_hom_app\",\"def_path\":\"Mathlib\\/AlgebraicTopology\\/DoldKan\\/Compatibility.lean\",\"def_pos\":[191,10],\"def_end_pos\":[191,17]}]"
98
+ ],
99
+ "state_after": "case w.app.h\nA : Type u_1\nA' : Type u_2\nB : Type u_3\nB' : Type u_4\ninst\u271d\u00b3 : Category.{u_6, u_1} A\ninst\u271d\u00b2 : Category.{u_7, u_2} A'\ninst\u271d\u00b9 : Category.{u_5, u_3} B\ninst\u271d : Category.{u_8, u_4} B'\neA : A \u224c A'\neB : B \u224c B'\ne' : A' \u224c B'\nF : A \u2964 B'\nhF : eA.functor \u22d9 e'.functor \u2245 F\nG : B \u2964 A\nhG : eB.functor \u22d9 e'.inverse \u2245 G \u22d9 eA.functor\n\u03b7 : G \u22d9 F \u2245 eB.functor\nh\u03b7 : \u03c4\u2080 = \u03c4\u2081 hF hG \u03b7\nY : B\n\u22a2 eB.inverse.map\n (F.map (eA.unitIso.hom.app (G.obj Y)) \u226b\n F.map (eA.inverse.map (hG.inv.app Y)) \u226b\n hF.inv.app (eA.inverse.obj (e'.inverse.obj (eB.functor.obj Y))) \u226b\n e'.functor.map (eA.counitIso.hom.app (e'.inverse.obj (eB.functor.obj Y))) \u226b\n e'.functor.map (hG.hom.app Y) \u226b hF.hom.app (G.obj Y) \u226b \u03b7.hom.app Y) \u226b\n eB.unitIso.inv.app Y =\n eB.inverse.map (\u03b7.hom.app Y) \u226b eB.unitIso.inv.app Y",
100
+ "state_before": "case w.app.h\nA : Type u_1\nA' : Type u_2\nB : Type u_3\nB' : Type u_4\ninst\u271d\u00b3 : Category.{u_6, u_1} A\ninst\u271d\u00b2 : Category.{u_7, u_2} A'\ninst\u271d\u00b9 : Category.{u_5, u_3} B\ninst\u271d : Category.{u_8, u_4} B'\neA : A \u224c A'\neB : B \u224c B'\ne' : A' \u224c B'\nF : A \u2964 B'\nhF : eA.functor \u22d9 e'.functor \u2245 F\nG : B \u2964 A\nhG : eB.functor \u22d9 e'.inverse \u2245 G \u22d9 eA.functor\n\u03b7 : G \u22d9 F \u2245 eB.functor\nh\u03b7 : \u03c4\u2080 = \u03c4\u2081 hF hG \u03b7\nY : B\n\u22a2 eB.inverse.map (F.map (eA.unitIso.hom.app (G.obj Y))) \u226b\n eB.inverse.map (F.map (eA.inverse.map (hG.inv.app Y))) \u226b\n eB.inverse.map (hF.inv.app (eA.inverse.obj (e'.inverse.obj (eB.functor.obj Y)))) \u226b\n eB.inverse.map (e'.functor.map (eA.counitIso.hom.app (e'.inverse.obj (eB.functor.obj Y)))) \u226b\n eB.inverse.map (e'.counitIso.hom.app (eB.functor.obj Y)) \u226b eB.unitIso.inv.app Y =\n eB.inverse.map (\u03b7.hom.app Y) \u226b eB.unitIso.inv.app Y",
101
+ "tactic": "simp only [\u2190 eB.inverse.map_comp_assoc, \u2190 \u03c4\u2080_hom_app, h\u03b7, \u03c4\u2081_hom_app]"
102
+ },
103
+ {
104
+ "annotated_tactic": [
105
+ "\"erw [hF.inv.naturality_assoc, hF.inv.naturality_assoc]\"",
106
+ "[]"
107
+ ],
108
+ "state_after": "case w.app.h\nA : Type u_1\nA' : Type u_2\nB : Type u_3\nB' : Type u_4\ninst\u271d\u00b3 : Category.{u_6, u_1} A\ninst\u271d\u00b2 : Category.{u_7, u_2} A'\ninst\u271d\u00b9 : Category.{u_5, u_3} B\ninst\u271d : Category.{u_8, u_4} B'\neA : A \u224c A'\neB : B \u224c B'\ne' : A' \u224c B'\nF : A \u2964 B'\nhF : eA.functor \u22d9 e'.functor \u2245 F\nG : B \u2964 A\nhG : eB.functor \u22d9 e'.inverse \u2245 G \u22d9 eA.functor\n\u03b7 : G \u22d9 F \u2245 eB.functor\nh\u03b7 : \u03c4\u2080 = \u03c4\u2081 hF hG \u03b7\nY : B\n\u22a2 eB.inverse.map\n (hF.inv.app (G.obj Y) \u226b\n (eA.functor \u22d9 e'.functor).map (eA.unitIso.hom.app (G.obj Y)) \u226b\n (eA.functor \u22d9 e'.functor).map (eA.inverse.map (hG.inv.app Y)) \u226b\n e'.functor.map (eA.counitIso.hom.app (e'.inverse.obj (eB.functor.obj Y))) \u226b\n e'.functor.map (hG.hom.app Y) \u226b hF.hom.app (G.obj Y) \u226b \u03b7.hom.app Y) \u226b\n eB.unitIso.inv.app Y =\n eB.inverse.map (\u03b7.hom.app Y) \u226b eB.unitIso.inv.app Y",
109
+ "state_before": "case w.app.h\nA : Type u_1\nA' : Type u_2\nB : Type u_3\nB' : Type u_4\ninst\u271d\u00b3 : Category.{u_6, u_1} A\ninst\u271d\u00b2 : Category.{u_7, u_2} A'\ninst\u271d\u00b9 : Category.{u_5, u_3} B\ninst\u271d : Category.{u_8, u_4} B'\neA : A \u224c A'\neB : B \u224c B'\ne' : A' \u224c B'\nF : A \u2964 B'\nhF : eA.functor \u22d9 e'.functor \u2245 F\nG : B \u2964 A\nhG : eB.functor \u22d9 e'.inverse \u2245 G \u22d9 eA.functor\n\u03b7 : G \u22d9 F \u2245 eB.functor\nh\u03b7 : \u03c4\u2080 = \u03c4\u2081 hF hG \u03b7\nY : B\n\u22a2 eB.inverse.map\n (F.map (eA.unitIso.hom.app (G.obj Y)) \u226b\n F.map (eA.inverse.map (hG.inv.app Y)) \u226b\n hF.inv.app (eA.inverse.obj (e'.inverse.obj (eB.functor.obj Y))) \u226b\n e'.functor.map (eA.counitIso.hom.app (e'.inverse.obj (eB.functor.obj Y))) \u226b\n e'.functor.map (hG.hom.app Y) \u226b hF.hom.app (G.obj Y) \u226b \u03b7.hom.app Y) \u226b\n eB.unitIso.inv.app Y =\n eB.inverse.map (\u03b7.hom.app Y) \u226b eB.unitIso.inv.app Y",
110
+ "tactic": "erw [hF.inv.naturality_assoc, hF.inv.naturality_assoc]"
111
+ },
112
+ {
113
+ "annotated_tactic": [
114
+ "\"dsimp\"",
115
+ "[]"
116
+ ],
117
+ "state_after": "case w.app.h\nA : Type u_1\nA' : Type u_2\nB : Type u_3\nB' : Type u_4\ninst\u271d\u00b3 : Category.{u_6, u_1} A\ninst\u271d\u00b2 : Category.{u_7, u_2} A'\ninst\u271d\u00b9 : Category.{u_5, u_3} B\ninst\u271d : Category.{u_8, u_4} B'\neA : A \u224c A'\neB : B \u224c B'\ne' : A' \u224c B'\nF : A \u2964 B'\nhF : eA.functor \u22d9 e'.functor \u2245 F\nG : B \u2964 A\nhG : eB.functor \u22d9 e'.inverse \u2245 G \u22d9 eA.functor\n\u03b7 : G \u22d9 F \u2245 eB.functor\nh\u03b7 : \u03c4\u2080 = \u03c4\u2081 hF hG \u03b7\nY : B\n\u22a2 eB.inverse.map\n (hF.inv.app (G.obj Y) \u226b\n e'.functor.map (eA.functor.map (eA.unitIso.hom.app (G.obj Y))) \u226b\n e'.functor.map (eA.functor.map (eA.inverse.map (hG.inv.app Y))) \u226b\n e'.functor.map (eA.counitIso.hom.app (e'.inverse.obj (eB.functor.obj Y))) \u226b\n e'.functor.map (hG.hom.app Y) \u226b hF.hom.app (G.obj Y) \u226b \u03b7.hom.app Y) \u226b\n eB.unitIso.inv.app Y =\n eB.inverse.map (\u03b7.hom.app Y) \u226b eB.unitIso.inv.app Y",
118
+ "state_before": "case w.app.h\nA : Type u_1\nA' : Type u_2\nB : Type u_3\nB' : Type u_4\ninst\u271d\u00b3 : Category.{u_6, u_1} A\ninst\u271d\u00b2 : Category.{u_7, u_2} A'\ninst\u271d\u00b9 : Category.{u_5, u_3} B\ninst\u271d : Category.{u_8, u_4} B'\neA : A \u224c A'\neB : B \u224c B'\ne' : A' \u224c B'\nF : A \u2964 B'\nhF : eA.functor \u22d9 e'.functor \u2245 F\nG : B \u2964 A\nhG : eB.functor \u22d9 e'.inverse \u2245 G \u22d9 eA.functor\n\u03b7 : G \u22d9 F \u2245 eB.functor\nh\u03b7 : \u03c4\u2080 = \u03c4\u2081 hF hG \u03b7\nY : B\n\u22a2 eB.inverse.map\n (hF.inv.app (G.obj Y) \u226b\n (eA.functor \u22d9 e'.functor).map (eA.unitIso.hom.app (G.obj Y)) \u226b\n (eA.functor \u22d9 e'.functor).map (eA.inverse.map (hG.inv.app Y)) \u226b\n e'.functor.map (eA.counitIso.hom.app (e'.inverse.obj (eB.functor.obj Y))) \u226b\n e'.functor.map (hG.hom.app Y) \u226b hF.hom.app (G.obj Y) \u226b \u03b7.hom.app Y) \u226b\n eB.unitIso.inv.app Y =\n eB.inverse.map (\u03b7.hom.app Y) \u226b eB.unitIso.inv.app Y",
119
+ "tactic": "dsimp"
120
+ },
121
+ {
122
+ "annotated_tactic": [
123
+ "\"congr 2\"",
124
+ "[]"
125
+ ],
126
+ "state_after": "case w.app.h.e_a.e_a\nA : Type u_1\nA' : Type u_2\nB : Type u_3\nB' : Type u_4\ninst\u271d\u00b3 : Category.{u_6, u_1} A\ninst\u271d\u00b2 : Category.{u_7, u_2} A'\ninst\u271d\u00b9 : Category.{u_5, u_3} B\ninst\u271d : Category.{u_8, u_4} B'\neA : A \u224c A'\neB : B \u224c B'\ne' : A' \u224c B'\nF : A \u2964 B'\nhF : eA.functor \u22d9 e'.functor \u2245 F\nG : B \u2964 A\nhG : eB.functor \u22d9 e'.inverse \u2245 G \u22d9 eA.functor\n\u03b7 : G \u22d9 F \u2245 eB.functor\nh\u03b7 : \u03c4\u2080 = \u03c4\u2081 hF hG \u03b7\nY : B\n\u22a2 hF.inv.app (G.obj Y) \u226b\n e'.functor.map (eA.functor.map (eA.unitIso.hom.app (G.obj Y))) \u226b\n e'.functor.map (eA.functor.map (eA.inverse.map (hG.inv.app Y))) \u226b\n e'.functor.map (eA.counitIso.hom.app (e'.inverse.obj (eB.functor.obj Y))) \u226b\n e'.functor.map (hG.hom.app Y) \u226b hF.hom.app (G.obj Y) \u226b \u03b7.hom.app Y =\n \u03b7.hom.app Y",
127
+ "state_before": "case w.app.h\nA : Type u_1\nA' : Type u_2\nB : Type u_3\nB' : Type u_4\ninst\u271d\u00b3 : Category.{u_6, u_1} A\ninst\u271d\u00b2 : Category.{u_7, u_2} A'\ninst\u271d\u00b9 : Category.{u_5, u_3} B\ninst\u271d : Category.{u_8, u_4} B'\neA : A \u224c A'\neB : B \u224c B'\ne' : A' \u224c B'\nF : A \u2964 B'\nhF : eA.functor \u22d9 e'.functor \u2245 F\nG : B \u2964 A\nhG : eB.functor \u22d9 e'.inverse \u2245 G \u22d9 eA.functor\n\u03b7 : G \u22d9 F \u2245 eB.functor\nh\u03b7 : \u03c4\u2080 = \u03c4\u2081 hF hG \u03b7\nY : B\n\u22a2 eB.inverse.map\n (hF.inv.app (G.obj Y) \u226b\n e'.functor.map (eA.functor.map (eA.unitIso.hom.app (G.obj Y))) \u226b\n e'.functor.map (eA.functor.map (eA.inverse.map (hG.inv.app Y))) \u226b\n e'.functor.map (eA.counitIso.hom.app (e'.inverse.obj (eB.functor.obj Y))) \u226b\n e'.functor.map (hG.hom.app Y) \u226b hF.hom.app (G.obj Y) \u226b \u03b7.hom.app Y) \u226b\n eB.unitIso.inv.app Y =\n eB.inverse.map (\u03b7.hom.app Y) \u226b eB.unitIso.inv.app Y",
128
+ "tactic": "congr 2"
129
+ },
130
+ {
131
+ "annotated_tactic": [
132
+ "\"simp only [\\u2190 e'.functor.map_comp_assoc, <a>Equivalence.fun_inv_map<\\/a>, <a>assoc<\\/a>,\\n <a>Iso.inv_hom_id_app_assoc<\\/a>, hG.inv_hom_id_app]\"",
133
+ "[{\"full_name\":\"CategoryTheory.Equivalence.fun_inv_map\",\"def_path\":\"Mathlib\\/CategoryTheory\\/Equivalence.lean\",\"def_pos\":[228,9],\"def_end_pos\":[228,20]},{\"full_name\":\"CategoryTheory.Category.assoc\",\"def_path\":\"Mathlib\\/CategoryTheory\\/Category\\/Basic.lean\",\"def_pos\":[181,3],\"def_end_pos\":[181,8]},{\"full_name\":\"CategoryTheory.Iso.inv_hom_id_app_assoc\",\"def_path\":\"Mathlib\\/CategoryTheory\\/NatIso.lean\",\"def_pos\":[70,3],\"def_end_pos\":[70,25]}]"
134
+ ],
135
+ "state_after": "case w.app.h.e_a.e_a\nA : Type u_1\nA' : Type u_2\nB : Type u_3\nB' : Type u_4\ninst\u271d\u00b3 : Category.{u_6, u_1} A\ninst\u271d\u00b2 : Category.{u_7, u_2} A'\ninst\u271d\u00b9 : Category.{u_5, u_3} B\ninst\u271d : Category.{u_8, u_4} B'\neA : A \u224c A'\neB : B \u224c B'\ne' : A' \u224c B'\nF : A \u2964 B'\nhF : eA.functor \u22d9 e'.functor \u2245 F\nG : B \u2964 A\nhG : eB.functor \u22d9 e'.inverse \u2245 G \u22d9 eA.functor\n\u03b7 : G \u22d9 F \u2245 eB.functor\nh\u03b7 : \u03c4\u2080 = \u03c4\u2081 hF hG \u03b7\nY : B\n\u22a2 hF.inv.app (G.obj Y) \u226b\n e'.functor.map\n (eA.functor.map (eA.unitIso.hom.app (G.obj Y)) \u226b\n eA.counit.app (eA.functor.obj (G.obj Y)) \u226b \ud835\udfd9 ((G \u22d9 eA.functor).obj Y)) \u226b\n hF.hom.app (G.obj Y) \u226b \u03b7.hom.app Y =\n \u03b7.hom.app Y",
136
+ "state_before": "case w.app.h.e_a.e_a\nA : Type u_1\nA' : Type u_2\nB : Type u_3\nB' : Type u_4\ninst\u271d\u00b3 : Category.{u_6, u_1} A\ninst\u271d\u00b2 : Category.{u_7, u_2} A'\ninst\u271d\u00b9 : Category.{u_5, u_3} B\ninst\u271d : Category.{u_8, u_4} B'\neA : A \u224c A'\neB : B \u224c B'\ne' : A' \u224c B'\nF : A \u2964 B'\nhF : eA.functor \u22d9 e'.functor \u2245 F\nG : B \u2964 A\nhG : eB.functor \u22d9 e'.inverse \u2245 G \u22d9 eA.functor\n\u03b7 : G \u22d9 F \u2245 eB.functor\nh\u03b7 : \u03c4\u2080 = \u03c4\u2081 hF hG \u03b7\nY : B\n\u22a2 hF.inv.app (G.obj Y) \u226b\n e'.functor.map (eA.functor.map (eA.unitIso.hom.app (G.obj Y))) \u226b\n e'.functor.map (eA.functor.map (eA.inverse.map (hG.inv.app Y))) \u226b\n e'.functor.map (eA.counitIso.hom.app (e'.inverse.obj (eB.functor.obj Y))) \u226b\n e'.functor.map (hG.hom.app Y) \u226b hF.hom.app (G.obj Y) \u226b \u03b7.hom.app Y =\n \u03b7.hom.app Y",
137
+ "tactic": "simp only [\u2190 e'.functor.map_comp_assoc, Equivalence.fun_inv_map, assoc,\n Iso.inv_hom_id_app_assoc, hG.inv_hom_id_app]"
138
+ },
139
+ {
140
+ "annotated_tactic": [
141
+ "\"dsimp\"",
142
+ "[]"
143
+ ],
144
+ "state_after": "case w.app.h.e_a.e_a\nA : Type u_1\nA' : Type u_2\nB : Type u_3\nB' : Type u_4\ninst\u271d\u00b3 : Category.{u_6, u_1} A\ninst\u271d\u00b2 : Category.{u_7, u_2} A'\ninst\u271d\u00b9 : Category.{u_5, u_3} B\ninst\u271d : Category.{u_8, u_4} B'\neA : A \u224c A'\neB : B \u224c B'\ne' : A' \u224c B'\nF : A \u2964 B'\nhF : eA.functor \u22d9 e'.functor \u2245 F\nG : B \u2964 A\nhG : eB.functor \u22d9 e'.inverse \u2245 G \u22d9 eA.functor\n\u03b7 : G \u22d9 F \u2245 eB.functor\nh\u03b7 : \u03c4\u2080 = \u03c4\u2081 hF hG \u03b7\nY : B\n\u22a2 hF.inv.app (G.obj Y) \u226b\n e'.functor.map\n (eA.functor.map (eA.unitIso.hom.app (G.obj Y)) \u226b\n eA.counit.app (eA.functor.obj (G.obj Y)) \u226b \ud835\udfd9 (eA.functor.obj (G.obj Y))) \u226b\n hF.hom.app (G.obj Y) \u226b \u03b7.hom.app Y =\n \u03b7.hom.app Y",
145
+ "state_before": "case w.app.h.e_a.e_a\nA : Type u_1\nA' : Type u_2\nB : Type u_3\nB' : Type u_4\ninst\u271d\u00b3 : Category.{u_6, u_1} A\ninst\u271d\u00b2 : Category.{u_7, u_2} A'\ninst\u271d\u00b9 : Category.{u_5, u_3} B\ninst\u271d : Category.{u_8, u_4} B'\neA : A \u224c A'\neB : B \u224c B'\ne' : A' \u224c B'\nF : A \u2964 B'\nhF : eA.functor \u22d9 e'.functor \u2245 F\nG : B \u2964 A\nhG : eB.functor \u22d9 e'.inverse \u2245 G \u22d9 eA.functor\n\u03b7 : G \u22d9 F \u2245 eB.functor\nh\u03b7 : \u03c4\u2080 = \u03c4\u2081 hF hG \u03b7\nY : B\n\u22a2 hF.inv.app (G.obj Y) \u226b\n e'.functor.map\n (eA.functor.map (eA.unitIso.hom.app (G.obj Y)) \u226b\n eA.counit.app (eA.functor.obj (G.obj Y)) \u226b \ud835\udfd9 ((G \u22d9 eA.functor).obj Y)) \u226b\n hF.hom.app (G.obj Y) \u226b \u03b7.hom.app Y =\n \u03b7.hom.app Y",
146
+ "tactic": "dsimp"
147
+ },
148
+ {
149
+ "annotated_tactic": [
150
+ "\"rw [<a>comp_id<\\/a>, eA.functor_unitIso_comp, e'.functor.map_id, <a>id_comp<\\/a>, hF.inv_hom_id_app_assoc]\"",
151
+ "[{\"full_name\":\"CategoryTheory.Category.comp_id\",\"def_path\":\"Mathlib\\/CategoryTheory\\/Category\\/Basic.lean\",\"def_pos\":[179,3],\"def_end_pos\":[179,10]},{\"full_name\":\"CategoryTheory.Category.id_comp\",\"def_path\":\"Mathlib\\/CategoryTheory\\/Category\\/Basic.lean\",\"def_pos\":[177,3],\"def_end_pos\":[177,10]}]"
152
+ ],
153
+ "state_after": "no goals",
154
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+ "mathlib:CategoryTheory.CechNerveTerminalFrom.wideCospan.limitIsoPi_hom_comp_pi"
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+ "[\"mathlib\",\"29dcec074de168ac2bf835a77ef68bbe069194c5\",\"Mathlib/AlgebraicTopology/DoldKan/Compatibility.lean\",null,null,\"AlgebraicTopology.DoldKan.Compatibility.equivalence\u2081UnitIso_eq\"]",
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271
+ ]
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+ }
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+ },
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+ "source_file": "Mathlib/AlgebraicTopology/DoldKan/EquivalencePseudoabelian.lean"
118
+ },
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+ "error": "no internal trace for tactic 'simp'",
121
+ "full_name": "CategoryTheory.Idempotents.DoldKan.h\u03b7",
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+ "traced_tactics": [
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+ ],
142
+ "state_after": "case w.w.h\nC : Type u_1\ninst\u271d\u00b3 : Category.{u_2, u_1} C\ninst\u271d\u00b2 : Preadditive C\ninst\u271d\u00b9 : IsIdempotentComplete C\ninst\u271d : HasFiniteCoproducts C\nK : ChainComplex C \u2115\n\u22a2 Compatibility.\u03c4\u2080.hom.app K = (Compatibility.\u03c4\u2081 isoN\u2081 iso\u0393\u2080 N\u2081\u0393\u2080).hom.app K",
143
+ "state_before": "C : Type u_1\ninst\u271d\u00b3 : Category.{u_2, u_1} C\ninst\u271d\u00b2 : Preadditive C\ninst\u271d\u00b9 : IsIdempotentComplete C\ninst\u271d : HasFiniteCoproducts C\n\u22a2 Compatibility.\u03c4\u2080 = Compatibility.\u03c4\u2081 isoN\u2081 iso\u0393\u2080 N\u2081\u0393\u2080",
144
+ "tactic": "ext K : 3"
145
+ },
146
+ {
147
+ "annotated_tactic": [
148
+ "\"simp only [<a>Compatibility.\\u03c4\\u2080_hom_app<\\/a>, <a>Compatibility.\\u03c4\\u2081_hom_app<\\/a>]\"",
149
+ "[{\"full_name\":\"AlgebraicTopology.DoldKan.Compatibility.\\u03c4\\u2080_hom_app\",\"def_path\":\"Mathlib\\/AlgebraicTopology\\/DoldKan\\/Compatibility.lean\",\"def_pos\":[180,10],\"def_end_pos\":[180,17]},{\"full_name\":\"AlgebraicTopology.DoldKan.Compatibility.\\u03c4\\u2081_hom_app\",\"def_path\":\"Mathlib\\/AlgebraicTopology\\/DoldKan\\/Compatibility.lean\",\"def_pos\":[191,10],\"def_end_pos\":[191,17]}]"
150
+ ],
151
+ "state_after": "case w.w.h\nC : Type u_1\ninst\u271d\u00b3 : Category.{u_2, u_1} C\ninst\u271d\u00b2 : Preadditive C\ninst\u271d\u00b9 : IsIdempotentComplete C\ninst\u271d : HasFiniteCoproducts C\nK : ChainComplex C \u2115\n\u22a2 Preadditive.DoldKan.equivalence.counitIso.hom.app ((toKaroubiEquivalence (ChainComplex C \u2115)).functor.obj K) =\n Preadditive.DoldKan.equivalence.functor.map (iso\u0393\u2080.hom.app K) \u226b isoN\u2081.hom.app (\u0393.obj K) \u226b N\u2081\u0393\u2080.hom.app K",
152
+ "state_before": "case w.w.h\nC : Type u_1\ninst\u271d\u00b3 : Category.{u_2, u_1} C\ninst\u271d\u00b2 : Preadditive C\ninst\u271d\u00b9 : IsIdempotentComplete C\ninst\u271d : HasFiniteCoproducts C\nK : ChainComplex C \u2115\n\u22a2 Compatibility.\u03c4\u2080.hom.app K = (Compatibility.\u03c4\u2081 isoN\u2081 iso\u0393\u2080 N\u2081\u0393\u2080).hom.app K",
153
+ "tactic": "simp only [Compatibility.\u03c4\u2080_hom_app, Compatibility.\u03c4\u2081_hom_app]"
154
+ },
155
+ {
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+ "annotated_tactic": [
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158
+ "[{\"full_name\":\"AlgebraicTopology.DoldKan.N\\u2082\\u0393\\u2082_compatible_with_N\\u2081\\u0393\\u2080\",\"def_path\":\"Mathlib\\/AlgebraicTopology\\/DoldKan\\/GammaCompN.lean\",\"def_pos\":[201,9],\"def_end_pos\":[201,34]},{\"full_name\":\"Eq.trans\",\"def_path\":\".lake\\/packages\\/lean4\\/src\\/lean\\/Init\\/Prelude.lean\",\"def_pos\":[335,9],\"def_end_pos\":[335,17]}]"
159
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160
+ "state_after": "no goals",
161
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162
+ "tactic": "exact (N\u2082\u0393\u2082_compatible_with_N\u2081\u0393\u2080 K).trans (by simp )"
163
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171
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172
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175
+ },
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+ "source_file": "Mathlib/AlgebraicTopology/DoldKan/EquivalencePseudoabelian.lean"
177
+ },
178
+ {
179
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180
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181
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