chars int64 40 24k | content_type stringclasses 9
values | id stringlengths 13 64 | source stringclasses 5
values | subset stringclasses 31
values | text stringlengths 40 24k |
|---|---|---|---|---|---|
1,826 | lean_file_chunk | 99c62e7cdae907b2427c3b6a9c9d4431bc388d7b606e4a5219bb3eddb90d23fe | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import Mathlib.Tactic.Common
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.Ring
import Mathlib.Tactic.Ring.RingNF
import Mathlib.Tactic.FieldSimp
import Mathlib... |
1,826 | lean_file_chunk | 792840a4d3ce5058f9b81b27b5a34b98da34eb63a05437d44dde02b1e9c637a1 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import Mathlib.Tactic.Common
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.Ring
import Mathlib.Tactic.Ring.RingNF
import Mathlib.Tactic.FieldSimp
import Mathlib... |
1,572 | lean_file_chunk | 29bfcdd20812cba54b40bb872622b8a913cfcbc0ffdf7f51562bd56e46b7af48 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import Mathlib.Tactic.Common
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.Ring
import Mathlib.Tactic.Ring.RingNF
import Mathlib.Tactic.FieldSimp
import Mathlib... |
1,812 | lean_file_chunk | 85a53494454cf3e2ebfce23b57d7bba38e4a8e39f0ddf6a16623a65407bf07da | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import Mathlib.Tactic.Common
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.Ring
import Mathlib.Tactic.Ring.RingNF
import Mathlib.Tactic.FieldSimp
import Mathlib... |
1,819 | lean_file_chunk | 1e5d3892bd28ca9aea925a93b406b6ed715c05e4c6fb5260e52c53e81d947202 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import Mathlib.Tactic.Common
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.Ring
import Mathlib.Tactic.Ring.RingNF
import Mathlib.Tactic.FieldSimp
import Mathlib... |
2,871 | lean_file_chunk | dd54d0e726bc85b03773a758eb9d7ee08de6c8fbe6b1583ec25749b8d7bf33c7 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import Mathlib.Tactic.Common
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.Ring
import Mathlib.Tactic.Ring.RingNF
import Mathlib.Tactic.FieldSimp
import Mathlib... |
1,812 | lean_file_chunk | b951975a01fb8f208e0355ac01f8aa5906214ca641fbb7e52bb3db9269801743 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import Mathlib.Tactic.Common
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.Ring
import Mathlib.Tactic.Ring.RingNF
import Mathlib.Tactic.FieldSimp
import Mathlib... |
1,826 | lean_file_chunk | 45ac338156874afe5cf8fe7b7e04e244d784566f389f9f824294a7f94210ee43 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import Mathlib.Tactic.Common
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.Ring
import Mathlib.Tactic.Ring.RingNF
import Mathlib.Tactic.FieldSimp
import Mathlib... |
1,826 | lean_file_chunk | 34e99c696f6daecb5a53a31a85ac955831bc568da3c9619e24828f15a865b112 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import Mathlib.Tactic.Common
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.Ring
import Mathlib.Tactic.Ring.RingNF
import Mathlib.Tactic.FieldSimp
import Mathlib... |
1,572 | lean_file_chunk | 3fa2ab34a7108631841ec24c63b18c5d73bbbf53d59359009818b53806042f12 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import Mathlib.Tactic.Common
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.Ring
import Mathlib.Tactic.Ring.RingNF
import Mathlib.Tactic.FieldSimp
import Mathlib... |
1,812 | lean_file_chunk | 7e7e27c3a97fd186992dc2ffc9fa77c05e2c903cfadb115057c5f14ffd9b80fc | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import Mathlib.Tactic.Common
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.Ring
import Mathlib.Tactic.Ring.RingNF
import Mathlib.Tactic.FieldSimp
import Mathlib... |
1,819 | lean_file_chunk | 8171d1a0f201d5e3566bb812fdd9c3aa9a138b00340ee456137528e7937cc49f | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import Mathlib.Tactic.Common
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.Ring
import Mathlib.Tactic.Ring.RingNF
import Mathlib.Tactic.FieldSimp
import Mathlib... |
2,871 | lean_file_chunk | 3a7395973f4c9f492e1afa3c7a7ba5f19739ad982a0d113a4deb6a0b30df5126 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import Mathlib.Tactic.Common
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.Ring
import Mathlib.Tactic.Ring.RingNF
import Mathlib.Tactic.FieldSimp
import Mathlib... |
1,812 | lean_file_chunk | 5f848caccf9432fbe6414f5ecc61400728718eb073d6aae3eb28881d8ac5b210 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import Mathlib.Tactic.Common
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.Ring
import Mathlib.Tactic.Ring.RingNF
import Mathlib.Tactic.FieldSimp
import Mathlib... |
1,826 | lean_file_chunk | 7a09c8703264939b4bd1ae44809098674c249124279124d1e8727cd68ab17c1c | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import Mathlib.Tactic.Common
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.Ring
import Mathlib.Tactic.Ring.RingNF
import Mathlib.Tactic.FieldSimp
import Mathlib... |
1,826 | lean_file_chunk | 4eff77bf3c4221e69b532ddb454de5b49d88c798e470f6c5ea00db8e61cb05e2 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import Mathlib.Tactic.Common
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.Ring
import Mathlib.Tactic.Ring.RingNF
import Mathlib.Tactic.FieldSimp
import Mathlib... |
1,572 | lean_file_chunk | 2e4d2e1e47a54f51b1226aaf01edb66e03c0aba66aca2caddfbd622bf31570d1 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import Mathlib.Tactic.Common
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.Ring
import Mathlib.Tactic.Ring.RingNF
import Mathlib.Tactic.FieldSimp
import Mathlib... |
1,812 | lean_file_chunk | 2ea08ee713f948e94aa5c3bf82e8666092a475f0ce9d614a79e45a918928f2ae | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import Mathlib.Tactic.Common
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.Ring
import Mathlib.Tactic.Ring.RingNF
import Mathlib.Tactic.FieldSimp
import Mathlib... |
1,819 | lean_file_chunk | 6711d686695306216cc97b08cb0175e46f3f5bf6200065c9821f29e0c454b241 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import Mathlib.Tactic.Common
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.Ring
import Mathlib.Tactic.Ring.RingNF
import Mathlib.Tactic.FieldSimp
import Mathlib... |
1,947 | lean_file_chunk | 41c05d05ab1eb8b4c60f7b422ab9212be2a9f46f7079ed3613148707428ff17e | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import Mathlib.Tactic.Common
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.Ring
import Mathlib.Tactic.Ring.RingNF
import Mathlib.Tactic.FieldSimp
import Mathlib... |
18,736 | lean_file_chunk | 4cafa3f3a13e80f969c060261e96a0440494c8b75b4f8aafe2951a3021319ff2 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import Mathlib.Tactic.Common
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.Ring
import Mathlib.Tactic.Ring.RingNF
import Mathlib.Tactic.FieldSimp
import Mathlib... |
4,219 | lean_file_chunk | 91e5b3a14f92780ce902efc07d9f01086f16c3ffb91893cf129cb32988675810 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import LeanPool.TwoColoringOneRound.LowerBound.Defs
import LeanPool.TwoColoringOneRound.LowerBound.N1000000Relaxation
import LeanPool.TwoColoringOneRound.LowerBound.N1... |
7,982 | lean_file_chunk | c4af222a249b9fa6b10723764bdcf1dc5e37ca79689f89ff8133262af4442174 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import Mathlib.Tactic.Common
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.Ring
import Mathlib.Tactic.Ring.RingNF
import Mathlib.Tactic.FieldSimp
import Mathlib... |
21,157 | lean_file_chunk | d2380c311c423bcbfc9572a9230e5f7b1c4423b7f2028c37d3b0cc0e05770089 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import Mathlib.Tactic.Common
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.Ring
import Mathlib.Tactic.Ring.RingNF
import Mathlib.Tactic.FieldSimp
import Mathlib... |
1,804 | lean_file_chunk | 9e64039894d9fb677300e5c1199bea79d6911dbf4b728ea03623a3b0a4aaf76b | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import LeanPool.TwoColoringOneRound.LowerBound.Defs
import LeanPool.TwoColoringOneRound.LowerBound.N1000000Main
/-!
# Public interface: the `n = 1_000_000` lower boun... |
23,942 | lean_file_chunk | ac61d1b4bc9e105f41c73bade0ce44f45d194cfdd6951c25078783e7fb98e2d0 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import Mathlib.Data.Fintype.CardEmbedding
import LeanPool.TwoColoringOneRound.LowerBound.N1000000OrbitalBasis
import LeanPool.TwoColoringOneRound.LowerBound.N1000000M... |
8,816 | lean_file_chunk | 652ae811f96029e40f5f45672f9dd205fe408007d6e1849013a9efee43b87461 | lean_source_file | lean_pool_source_file_chunks | have : (e ⟨i, ⟨hcol, hrow⟩⟩).1 = u.1.1 j' := by simpa [hv0, hg0] using hEq
exact (availFor_ne_u_coord (k := k) u (e ⟨i, ⟨hcol, hrow⟩⟩) j') this
| some ib =>
have hv0 : v.1 i = baseVertex.1 ib := by
simpa [v, decodeVertex] using
(decodeTuple_of_colM... |
2,082 | lean_file_chunk | 8a9b6ea39cba70a054c7a64f24987b99096126f17e252990dc24e9c0ed4a5dfa | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import LeanPool.TwoColoringOneRound.LowerBound.N1000000BCompressionForB
import LeanPool.TwoColoringOneRound.LowerBound.N1000000Bound
import LeanPool.TwoColoringOneRoun... |
1,520 | lean_file_chunk | 45522c244c80e53245483bfe16339a545c3e6748059a996d24affa4bed7f7c91 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import Mathlib.Tactic.Common
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.Ring
import Mathlib.Tactic.Ring.RingNF
import Mathlib.Tactic.FieldSimp
import Mathlib... |
7,706 | lean_file_chunk | c0b856ce47904f403463c16906b784b91754095aa5d024c81fde750477b0b8e0 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import Mathlib.Tactic.Common
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.Ring
import Mathlib.Tactic.Ring.RingNF
import Mathlib.Tactic.FieldSimp
import Mathlib... |
23,983 | lean_file_chunk | 13e7f918d2b5129f2fad337eb23e1c94d36b9f3c2c80ac0944ad8d41f32d93b6 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import Mathlib.Tactic.Common
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.Ring
import Mathlib.Tactic.Ring.RingNF
import Mathlib.Tactic.FieldSimp
import Mathlib... |
4,762 | lean_file_chunk | ca84f29075832a1e662f8d424d97230ea61c23b873971171880ba658fa6a92c8 | lean_source_file | lean_pool_source_file_chunks | corrAvg_tgt_eq_xFromColoring (f := f) (i := uvVar k) (pm := pmUv) hokUv
have htgtUw :
corrAvg f (vertexOfLabels pmUw.tgtU) (vertexOfLabels pmUw.tgtV) = xFromColoring f (uwVar k) :=
corrAvg_tgt_eq_xFromColoring (f := f) (i := uwVar k) (pm := pmUw) hokUw
have htgtVw :
corrAvg f (vertexOfLabels pmVw.tg... |
20,075 | lean_file_chunk | bbf467e2997a3459947e4913801258811ca059cadd0bbd8bb4aa4563d682ea46 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import Mathlib.Tactic.Common
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.Ring
import Mathlib.Tactic.Ring.RingNF
import Mathlib.Tactic.FieldSimp
import Mathlib... |
14,559 | lean_file_chunk | b8944ad01f83274fe2d93ed59ded3a4449552fb07b2f354c3001fd1fd913b282 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import Mathlib.GroupTheory.GroupAction.MultipleTransitivity
import Mathlib.GroupTheory.GroupAction.Quotient
import LeanPool.TwoColoringOneRound.LowerBound.Correlation... |
17,711 | lean_file_chunk | 6bbbb8e6d58d74dde7c8b9a1625651ec80d397428b4470aedcc3b359550efb5f | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import Mathlib.Data.Fintype.CardEmbedding
import LeanPool.TwoColoringOneRound.LowerBound.N1000000AvailFrom
import LeanPool.TwoColoringOneRound.LowerBound.N1000000Mask... |
4,664 | lean_file_chunk | 628235f8f0e597a244daadd11178711fac01ae57924ab3c90ca32c6c856b58fd | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import Mathlib.Tactic.Common
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.Ring
import Mathlib.Tactic.Ring.RingNF
import Mathlib.Tactic.FieldSimp
import Mathlib... |
7,804 | lean_file_chunk | 848df8eb1d04f89935aba36172758161057e115a40d35b551b259a5f1ceacdb7 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import Mathlib.Tactic.Common
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.Ring
import Mathlib.Tactic.Ring.RingNF
import Mathlib.Tactic.FieldSimp
import Mathlib... |
8,713 | lean_file_chunk | ed7fed461854e9d80b10fc443fdcea40099b5549134c3e0e3ab80e8f57002b23 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import LeanPool.TwoColoringOneRound.LowerBound.Correlation
import LeanPool.TwoColoringOneRound.LowerBound.N1000000Data
import LeanPool.TwoColoringOneRound.LowerBound.N... |
2,927 | lean_file_chunk | a87d96a7789e4344f0d2e00f388afb7a9a46d630c92fc8d8bc872944b6c29c00 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import Mathlib.LinearAlgebra.Matrix.PosDef
import LeanPool.TwoColoringOneRound.LowerBound.CorrAvgMatrix
import LeanPool.TwoColoringOneRound.LowerBound.N1000000Relaxat... |
4,362 | lean_file_chunk | 4db51bea9b3258008e30fb2dd7baa086b5c34da8ca61f9ce5d5bf27c533ff262 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import Mathlib.Tactic.Common
import Mathlib.Tactic.FinCases
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.Ring
import Mathlib.Tactic.Ring.RingNF
import Mathlib.... |
11,081 | lean_file_chunk | c17ef03e329a4003ae2510f19abb9528a24539e9c7088fec391365e6a07cda17 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import Mathlib.GroupTheory.GroupAction.MultipleTransitivity
import LeanPool.TwoColoringOneRound.LowerBound.Correlation
import LeanPool.TwoColoringOneRound.LowerBound.... |
17,844 | lean_file_chunk | acbce969a2f596a091d8fa33f8d1587bb8f6635d7a0f40f62cc93c0341fb0912 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import LeanPool.TwoColoringOneRound.LowerBound.N1000000Data
import LeanPool.TwoColoringOneRound.LowerBound.Certificate
import LeanPool.TwoColoringOneRound.LowerBound.N... |
2,354 | lean_file_chunk | 0b984b31ca889b3cc49ab81390ec8bd11ca98e058664faed71467c761bc53c94 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import LeanPool.TwoColoringOneRound.LowerBound.N1000000Data
/-!
# LeanPool.TwoColoringOneRound.LowerBound.N1000000Witness
-/
namespace Distributed2Coloring.LowerBoun... |
10,474 | lean_file_chunk | eb4d54348db6939b68bf1958486aa86ba932f6c76716b4ea0db20eafba519977 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import LeanPool.TwoColoringOneRound.LowerBound.N1000000Data
import LeanPool.TwoColoringOneRound.LowerBound.N1000000ZData
import Mathlib.Data.Rat.Star
import Mathlib.Li... |
21,666 | lean_file_chunk | 8c287c7e85e072c901f85699e56acf438e6b2d282d8f1b955e03f85d88f0cb5a | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import Mathlib.Data.Fintype.CardEmbedding
import Mathlib.Data.ZMod.Basic
import Mathlib.Logic.Equiv.Fin.Rotate
import Mathlib.Tactic.Common
import Mathlib.Tactic.Linar... |
2,272 | lean_file_chunk | e95238fbc154389e72ae073316f8e9d6530bf62456ba1da956c5a183abc5a8df | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import Mathlib.Tactic.Common
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.Ring
import Mathlib.Tactic.Ring.RingNF
import Mathlib.Tactic.FieldSimp
import Mathlib... |
6,870 | lean_file_chunk | ac8a3a13d9fa512d919b69065c7c25bbe2ddbb2fc5ae926238deacb0d62c8426 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import Mathlib.Data.Fintype.CardEmbedding
import Mathlib.Data.Fintype.Sum
import Mathlib.Order.Interval.Finset.Fin
import LeanPool.TwoColoringOneRound.LowerBound.Defs... |
23,978 | lean_file_chunk | 6e1cb0d7b24376e7ae1f2744eb8769b1c37ad19beb95274ab970e1619b15268f | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import Mathlib.Data.Fintype.CardEmbedding
import Mathlib.Data.Fintype.Sum
import Mathlib.RingTheory.Polynomial.Pochhammer
import Mathlib.Tactic.Common
import Mathlib.T... |
2,852 | lean_file_chunk | 9c1c2df676f54de9248d94006ed7f0f835864cb27bc8348e98834e77bf486760 | lean_source_file | lean_pool_source_file_chunks | simpa using (Nat.add_mul_div_left 1 m (y := 2) (by decide : 0 < 2))
simpa [Nat.add_comm, Nat.add_left_comm, Nat.add_assoc] using this
have hSmall : Fintype.card (Small (n := 2 * m + 1) hn) = m := by
simp_all
have hBig : Fintype.card (Big (n := 2 * m + 1) hn) = m + 1 := by
have hCard ... |
2,077 | lean_file_chunk | 6248cd798e7049b282f71f62be789ff4dc0230516d96d7c8e15aa3a578648489 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import LeanPool.TwoColoringOneRound.LowerBound.Defs
import LeanPool.TwoColoringOneRound.LowerBound.OverlapType
import LeanPool.TwoColoringOneRound.LowerBound.EdgePatte... |
2,673 | lean_file_chunk | 72e85a31e53c5d7a69c176c51bd621810dece04d62f0ef3acc12291b519611ca | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import LeanPool.TwoColoringOneRound.Definitions
import LeanPool.TwoColoringOneRound.Reduction
/-!
# Distributed2Coloring: Main results
This file collects the public-... |
16,086 | lean_file_chunk | de1380c77c7798f047a469a878f5fdb7948e6a79506fa14a23dae2add3fac5ce | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import LeanPool.TwoColoringOneRound.Definitions
import LeanPool.TwoColoringOneRound.LowerBound.Defs
import LeanPool.TwoColoringOneRound.LowerBound.N1000000Main
import ... |
19,208 | lean_file_chunk | f7887d24cd11c8952365ff7b9cb870cebb186148dd9877bfb842da3a560bfbeb | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import LeanPool.TwoColoringOneRound.Definitions
import Mathlib.Algebra.BigOperators.Group.Finset.Defs
import Mathlib.Data.Fin.Tuple.Basic
import Mathlib.MeasureTheory.... |
10,250 | lean_file_chunk | b97524118bffd887ecd0cd84aab0909c500c84c254dae184ab098d32986f9bab | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import LeanPool.TwoColoringOneRound.Definitions
import Mathlib.MeasureTheory.Constructions.UnitInterval
import Mathlib.MeasureTheory.MeasurableSpace.Constructions
/-!... |
23,978 | lean_file_chunk | b2777a30de77e113801b79ba4b1af9733b94e39db92a090c4d68beefb9bd2dcc | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import LeanPool.TwoColoringOneRound.UpperBound.Recursive3Param.Value
import Mathlib.MeasureTheory.Integral.Prod
/-!
## Final bound for the 3-parameter recursive algor... |
14,663 | lean_file_chunk | 1787ea0584961406fac9f0f5c0ac0b3829c8de69773f00bceaba72526df24f27 | lean_source_file | lean_pool_source_file_chunks | -- Replace `Ico` by `Ioo` (they differ by endpoints of measure 0).
have hcongr :
(∫⁻ b in Set.Ico t (1 : Rand), ∫⁻ c in (Set.Iio (1 : Rand) : Set Rand), innerBC b c ∂μ ∂μ) =
∫⁻ b in Set.Ioo t (1 : Rand),
∫⁻ c in (Set.Iio (1 : Rand) : Set Rand), innerBC b c ∂μ ∂μ := by
simpa using (MeasureT... |
18,893 | lean_file_chunk | e78067e805cc905d3a2434dcad476dcdee8ebd5cc53f8badbd0c2488536a6d33 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import LeanPool.TwoColoringOneRound.UpperBound.Recursive3Param.Basic
import Mathlib.MeasureTheory.Integral.Marginal
import Mathlib.MeasureTheory.Integral.Lebesgue.Add
... |
6,537 | lean_file_chunk | d3c77276aee3cf286c193d22c48317922ab8c91874de965c797dd812083cbcad | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import LeanPool.TwoColoringOneRound.UpperBound.Recursive3Param.Regions
import Mathlib.Tactic.Common
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.Ring
import Ma... |
23,990 | lean_file_chunk | 642260cb29e607c9db9d91203cbdf6db43a0964bc0b3755ed8ccd1abd923ec7e | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import LeanPool.TwoColoringOneRound.UpperBound.Recursive3Param.Bound
/-!
## Remaining region computations for the 3-parameter recursive algorithm
This file computes ... |
11,332 | lean_file_chunk | 807aafe24ccbdc2630a91f3499c0f592c5e7d592a88270e2a0c7092d8d137550 | lean_source_file | lean_pool_source_file_chunks | (f := fun b : Rand => ∫⁻ c in Set.Iio b, f c ∂μ)
(A := (Set.Iio t2 : Set Rand)) (B := (Set.Iio t1 : Set Rand)) ht1meas
have hBint : (Set.Iio t2 ∩ Set.Iio t1 : Set Rand) = Set.Iio t1 := by
rw [Set.inter_comm]; exact Iio_inter_Iio_left t1_lt_t2.le
have hBdiff : (Set.Iio t2 \ Set.Iio t1 : Set Rand) = Set.Ico... |
23,959 | lean_file_chunk | 09b70f9695dd9cfe0936f5b944c83efab14dcb813cd137946386ea0135c8f08e | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import LeanPool.TwoColoringOneRound.UpperBound.Recursive3Param.ComputeP
import Mathlib.Analysis.SpecialFunctions.Integrals.Basic
import Mathlib.MeasureTheory.Measure.T... |
3,023 | lean_file_chunk | c0bbab845677c39613a325a511e8f7daa32a7df7193931263308bc75a45f1977 | lean_source_file | lean_pool_source_file_chunks | ENNReal.ofReal (((b : ℝ) ^ 2 - (a : ℝ) ^ 2) / 2) :=
setLIntegral_Ico_of_Icc a b _ _ (setLIntegral_ofReal_id_Icc a b hab)
lemma setLIntegral_ofReal_pow_Icc (n : ℕ) (a b : Rand) (hab : a ≤ b) :
(∫⁻ x in Set.Icc a b, ENNReal.ofReal ((x : ℝ) ^ n) ∂(volume : Measure Rand)) =
ENNReal.ofReal (((b : ℝ) ^ (n + 1) -... |
719 | lean_file_chunk | dd0b4231c6072771ed7ec3f4a07d35906262b1391e9610c406c6489aeb2bc6ae | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import LeanPool.TwoColoringOneRound.UpperBound.Recursive3Param.Basic
import LeanPool.TwoColoringOneRound.UpperBound.Recursive3Param.ComputeP
import LeanPool.TwoColorin... |
367 | lean_file_chunk | a349e9ea8d2c8ec5b03a5d9e39552ec0ee739c43cde436ceddc39cb2feacde85 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import LeanPool.TwoColoringOneRound.UpperBound.Recursive3Param
/-!
# Upper-bound modules for 2-coloring cycles in one round
This module re-exports the vendored forma... |
1,279 | lean_file_chunk | 3427a6e79350b525251da6b568a2ecae2adcd8f06194f464881e1dd19c7bdcf9 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Jukka Suomela. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jukka Suomela
-/
import LeanPool.TwoColoringOneRound.API
import LeanPool.TwoColoringOneRound.LowerBound
import LeanPool.TwoColoringOneRound.SimpleBounds
import LeanPool.TwoColoringOneR... |
23,990 | lean_file_chunk | 915f49db25f3eaaf9977938ee36d45828b15e333bb25592f77d5c6e42b547df7 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Daniel Smania. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Daniel Smania
-/
import Mathlib.Analysis.Complex.Basic
import Mathlib.Analysis.Normed.Field.Basic
import Mathlib.Analysis.Normed.Module.Basic
import Mathlib.Analysis.Normed.Operator.Ex... |
23,969 | lean_file_chunk | d86338c94eae011b813739ed4f423c8f1327056642017d91de867dd4f7b68de1 | lean_source_file | lean_pool_source_file_chunks | theorem range_basis_toUnconditionalSchauderBasis
(b : UnconditionalSchauderBasisAbstractIndex 𝕜 Index E) (e : ℕ ≃ Index) :
Set.range (toUnconditionalSchauderBasis b e).toSchauderBasis.basis =
Set.range b.basis := by
ext x
constructor
· rintro ⟨n, rfl⟩
exact ⟨e n, rfl⟩
· rintro ⟨i, rfl⟩
ex... |
6,121 | lean_file_chunk | 903d796c78414841d5754b0756e5c63c56d6fd07dba2417cb360738bb7aa75fe | lean_source_file | lean_pool_source_file_chunks | field_simp [hK1_pos.ne']
omit [CharZero 𝕜] [CompleteSpace E] in
/-- The extended coordinate maps reconstruct every vector unconditionally. -/
private lemma coordMaps_hasSum_repr_abstract_of_finiteProjectionBound
{Index : Type*} [DecidableEq Index]
(x : Index → E)
(hx_dense : HasDenseSpan (𝕜 := 𝕜) x)
... |
9,082 | lean_file_chunk | cd01868dfc4bbf5bf3483519a8f2d4122bd9776196b66830782b9f9bc23a95ad | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Kalle Kytölä. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kalle Kytölä
-/
import Mathlib.Algebra.EuclideanDomain.Field
import Mathlib.Algebra.Lie.OfAssociative
import Mathlib.Algebra.Order.Ring.Star
import Mathlib.Analysis.Normed.Field.Lemmas
i... |
8,595 | lean_file_chunk | 61ba03ddcc70f899e8b48cb3737a63f165d92630d0680df9da66aca91cecefd1 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Kalle Kytölä. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kalle Kytölä
-/
import LeanPool.VirasoroProject.LieCohomologySmallDegree
/-!
# Central extensions of Lie algebras defined by 2-cocycles
This file defines the central extension of a Lie... |
4,137 | lean_file_chunk | c83bbfb9e310a3f4287aa75fbfedeee286f526095b0eb0caee8dc247b8190c86 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Kalle Kytölä. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kalle Kytölä
-/
import Mathlib.Algebra.Algebra.Basic
import Mathlib.Algebra.EuclideanDomain.Field
/-!
# Commutators of linear maps
This file defines commutators of linear operators, an... |
9,135 | lean_file_chunk | 0dd13c2b969877b33fd1449fb57d468975fe499189eeb3b7008df42b26a7c9ff | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Kalle Kytölä. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kalle Kytölä
-/
import Mathlib.Algebra.Module.LinearMap.Defs
/-!
# Cyclic triple sums
Cyclic triple sums are meant as auxiliary tools for proving properties like Jacobi
identities and ... |
14,796 | lean_file_chunk | d2ab3987125b61c4654e70b9203f08d03c413b9ede6ca3d08eb145a023767d3d | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Kalle Kytölä. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kalle Kytölä
-/
import LeanPool.VirasoroProject.HeisenbergAlgebra
import LeanPool.VirasoroProject.IndexTri
import LeanPool.VirasoroProject.LieVerma
/-!
# Verma modules for the Virasoro ... |
12,938 | lean_file_chunk | d1a9ba33311e2605dc109f0ab5293dc790fb62fe0006df8233d9cb4d0f810fb5 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Kalle Kytölä. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kalle Kytölä
-/
import LeanPool.VirasoroProject.FockSpace
import LeanPool.VirasoroProject.Sugawara
import LeanPool.VirasoroProject.VirasoroVerma
/-!
# Sugawara construction applied to t... |
13,779 | lean_file_chunk | fa074c1995b77c394b94f60576ec0e10b4e38c988be8eb5326929715003ee5b5 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Kalle Kytölä. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kalle Kytölä
-/
import Mathlib.LinearAlgebra.Basis.Bilinear
import LeanPool.VirasoroProject.IsCentralExtension
import LeanPool.VirasoroProject.ToMathlib.Algebra.Lie.Abelian
import LeanPo... |
1,879 | lean_file_chunk | 75b64aea3c010d52d99158fb64edd678f8a53401e2d5e12968766b4b39bb07aa | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Kalle Kytölä. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kalle Kytölä
-/
import Mathlib.Algebra.Order.Ring.Star
import Mathlib.Analysis.Normed.Ring.Lemmas
import Mathlib.Data.Int.Star
import Mathlib.Data.Sign.Defs
import Mathlib.Order.Complete... |
9,868 | lean_file_chunk | f3ec64e2b3610c672688b15d204a93ef77d83490eb4bc4d003792d360eee70f5 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Kalle Kytölä. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kalle Kytölä
-/
import LeanPool.VirasoroProject.CentralExtension
import LeanPool.VirasoroProject.SectionSES
/-!
# Abstract central extensions of Lie algebras (characteristic predicate)
... |
16,503 | lean_file_chunk | 4d43a1bf1058b11349f45f6837e8add0747165f1207019f5873477b9bcc58e94 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Kalle Kytölä. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kalle Kytölä
-/
import Mathlib.Algebra.Lie.UniversalEnveloping
import Mathlib.GroupTheory.GroupAction.Ring
import Mathlib.Order.CompletePartialOrder
import LeanPool.VirasoroProject.LieAl... |
5,405 | lean_file_chunk | 9ccb9a5c4e12a935ea6d47b4e5ef1bdb19eccfbc9a5f8487615f8a69416243ae | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Kalle Kytölä. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kalle Kytölä
-/
import Mathlib.Algebra.Lie.OfAssociative
import LeanPool.VirasoroProject.Commutator
import LeanPool.VirasoroProject.ToMathlib.Algebra.Lie.Basic
/-!
# Constructing repres... |
15,349 | lean_file_chunk | 7022c573269c7a3ba9c6de9ca53a963cd4546df001e2d54a19d93585433a1a62 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Kalle Kytölä. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kalle Kytölä
-/
import Mathlib.Algebra.Lie.Abelian
import LeanPool.VirasoroProject.ToMathlib.Algebra.Lie.Basic
/-!
# Lie algebra cohomology in degree two (for central extensions)
(*WAR... |
10,739 | lean_file_chunk | 08f5fe07f39e1b271d1f84752688e7cd810ef3c9cd55255a8854a2349046b558 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Kalle Kytölä. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kalle Kytölä
-/
import Mathlib.Data.Sign.Defs
import LeanPool.VirasoroProject.LieAlgebraModuleUEA
import LeanPool.VirasoroProject.ToMathlib.LinearAlgebra.Basis.FinsumRepr
import LeanPool... |
14,764 | lean_file_chunk | 233cc4dc837f0218276cdf45159ce33b2d69925c4dd1426fb143981f03940d6e | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Kalle Kytölä. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kalle Kytölä
-/
import Mathlib.Algebra.DirectSum.Module
import Mathlib.LinearAlgebra.FreeModule.Basic
import Mathlib.Order.CompletePartialOrder
/-!
# Sections of short exact sequences
... |
23,982 | lean_file_chunk | 248c3be15cc69b82eef295774c7a0ca8ea810593adfc43c7a527c07ea2887294 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Kalle Kytölä. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kalle Kytölä
-/
import LeanPool.VirasoroProject.VirasoroAlgebra
import LeanPool.VirasoroProject.HeisenbergAlgebra
import LeanPool.VirasoroProject.CentralChargeCalc
import LeanPool.Viraso... |
14,766 | lean_file_chunk | 286bc2d92085eb1486342bfd5d1fe3e2a9aa5cfb9c647716ca44518384334110 | lean_source_file | lean_pool_source_file_chunks | = ∑ᶠ i, -((i - n) • (pairNO' heiOper (m + -(i - n)) (n + m + (i - n + -m))) v) := by
rw [← finsum_comp_equiv ⟨fun k ↦ k - n, fun k ↦ k + n, fun _ ↦ by simp, fun _ ↦ by simp⟩]
rfl
rw [dummy]
rw [← smul_add, ← finsum_add_distrib]
· have aux :
∑ᶠ i, (-((i - n) • (p... |
411 | lean_file_chunk | aad647c688e324b92ac0d768332feddb6f10bd3cb653c8af35ff737f6edb5fd0 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Kalle Kytölä. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kalle Kytölä
-/
import Mathlib.Algebra.Lie.Abelian
/-!
# LeanPool.VirasoroProject.ToMathlib.Algebra.Lie.Abelian
-/
instance _root_.CommRing.isLieAbelian (R : Type*) [CommRing R] : IsLi... |
1,297 | lean_file_chunk | ac97a2671e9b82decde6f9b902a22ff9b6742b28521e8ed8a938ae5e5827c785 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Kalle Kytölä. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kalle Kytölä
-/
import Mathlib.Algebra.Lie.Basic
/-!
# LeanPool.VirasoroProject.ToMathlib.Algebra.Lie.Basic
-/
universe u
variable (𝕜 : Type*) [CommRing 𝕜]
variable (𝓰 : Type u) [Li... |
383 | lean_file_chunk | 277bfa40ddc5d3688d5b85d28e2a7cfe2c32e35f809659370c3278eb7ce630e7 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Kalle Kytölä. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kalle Kytölä
-/
import LeanPool.VirasoroProject.ToMathlib.Algebra.Lie.Abelian
import LeanPool.VirasoroProject.ToMathlib.Algebra.Lie.Basic
/-!
# Lie Algebra Support
Import-only index f... |
307 | lean_file_chunk | ff3af94ba12f58fa4de0225d4ed842aa7bd47005f2d8040dca00ec9ec7311f57 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Kalle Kytölä. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kalle Kytölä
-/
import LeanPool.VirasoroProject.ToMathlib.Algebra.Lie
/-!
# Algebra Support
Import-only index for algebra support modules used by the Virasoro Project.
-/ |
457 | lean_file_chunk | e5ad935df67ab11b8b19eda6f865a113c0d29713bd0d1363d20c2513f2737673 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Kalle Kytölä. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kalle Kytölä
-/
import Mathlib.LinearAlgebra.Basis.Defs
/-!
# LeanPool.VirasoroProject.ToMathlib.LinearAlgebra.Basis.Defs
-/
/-- Standard basis of the space of finitely supported funct... |
8,234 | lean_file_chunk | 9bd7bf84c67a2550e75e8e4833d5902fcad2bf23a5b79e70f1ddb28219edab35 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Kalle Kytölä. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kalle Kytölä
-/
import Mathlib.LinearAlgebra.Basis.Basic
import Mathlib.LinearAlgebra.DFinsupp
import Mathlib.Algebra.Module.Torsion.Free
import Mathlib.Algebra.Module.Torsion.Field
impo... |
389 | lean_file_chunk | 5f8814a4457e4d26014f3d9a6661b5dbcd3fe963ff48d96f06f78ffe81c4b277 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Kalle Kytölä. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kalle Kytölä
-/
import LeanPool.VirasoroProject.ToMathlib.LinearAlgebra.Basis.Defs
import LeanPool.VirasoroProject.ToMathlib.LinearAlgebra.Basis.FinsumRepr
/-!
# Basis Support
Import-... |
1,893 | lean_file_chunk | f33ff5c840071bf6fe0177ab7557ebd4b9cdd668675059956b6a0344fe43344d | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Kalle Kytölä. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kalle Kytölä
-/
import Mathlib.LinearAlgebra.Finsupp.Supported
/-!
# LeanPool.VirasoroProject.ToMathlib.LinearAlgebra.Finsupp.Supported
-/
--import Mathlib
lemma finsum_mem_span {ι R ... |
347 | lean_file_chunk | 8d1a9eec0324d15a18df999a635d0928216a3dc69612d8efe6241efa952bd5f2 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Kalle Kytölä. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kalle Kytölä
-/
import LeanPool.VirasoroProject.ToMathlib.LinearAlgebra.Finsupp.Supported
/-!
# Finsupp Support
Import-only index for finitely supported function support modules used ... |
393 | lean_file_chunk | 3ba6f16cd5bd1d328607ebbfcb1f534560436f5213374a9bfa87d40cfdf4aedd | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Kalle Kytölä. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kalle Kytölä
-/
import LeanPool.VirasoroProject.ToMathlib.LinearAlgebra.Basis
import LeanPool.VirasoroProject.ToMathlib.LinearAlgebra.Finsupp
/-!
# Linear Algebra Support
Import-only ... |
1,328 | lean_file_chunk | 7f0fb3984bb80a3a61dacf1230a7ba268bcb41ea95214c7beaf5333c956f331e | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Kalle Kytölä. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kalle Kytölä
-/
import Mathlib.Algebra.BigOperators.Finprod
/-!
# LeanPool.VirasoroProject.ToMathlib.Topology.Algebra.BigOperators.FinProd
-/
section
lemma Finset.sum_eq_sum_support {... |
343 | lean_file_chunk | c35a15db158e1533c49c23284df35b6a274a4394a0f4c5d8e89aba666ad7ef54 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Kalle Kytölä. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kalle Kytölä
-/
import LeanPool.VirasoroProject.ToMathlib.Topology.Algebra.BigOperators.FinProd
/-!
# Big Operator Support
Import-only index for big-operator support modules used by t... |
450 | lean_file_chunk | fffc18fa96a8d8a75e431b84c678a52d7c93b9377e9237c97aef316a346e53f0 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Kalle Kytölä. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kalle Kytölä
-/
import Mathlib.Topology.Algebra.ConstMulAction
/-!
# LeanPool.VirasoroProject.ToMathlib.Topology.Algebra.ConstMulAction
-/
lemma continuousConstSMul_of_discreteTopology... |
1,163 | lean_file_chunk | 2663ee9564192c4e4e355d8762d578c0520708442e371ebae5c9b9e8085ac349 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Kalle Kytölä. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kalle Kytölä
-/
import Mathlib.Topology.Algebra.InfiniteSum.Basic
import LeanPool.VirasoroProject.ToMathlib.Topology.Order
/-!
# LeanPool.VirasoroProject.ToMathlib.Topology.Algebra.Infi... |
340 | lean_file_chunk | e8fca435417b9a5a42a4620e7de7d10dccf97b4cac635134e3e749a5e64b7e42 | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Kalle Kytölä. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kalle Kytölä
-/
import LeanPool.VirasoroProject.ToMathlib.Topology.Algebra.InfiniteSum.Basic
/-!
# Infinite Sum Support
Import-only index for infinite-sum support modules used by the ... |
1,162 | lean_file_chunk | ab55c1e4ab404fe70f173308a7c1c20eb8092e92c8c108714697dea842acdc8c | lean_source_file | lean_pool_source_file_chunks | /-
Copyright (c) 2026 Kalle Kytölä. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kalle Kytölä
-/
import Mathlib.Algebra.BigOperators.Finprod
import Mathlib.Algebra.Module.LinearMap.Defs
import LeanPool.VirasoroProject.ToMathlib.Topology.Algebra.BigOperators.FinProd
... |
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