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 |
|---|---|---|---|---|---|
8,807 | lean_file_chunk | 24a2cff5fcfc67cbadafb7c9d86eabf79f55d8a7fedb95ad9f50daeedda6456e | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.ModelCategory.Basic
public import Mathlib.AlgebraicTopology.ModelCategory.IsCofibrant
public import Mathlib.CategoryTheory.Limit... |
2,178 | lean_file_chunk | 55f4bb0b699eaa31eda06123e4baf3b8771045397c32b164bb5866330b7efa81 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.ModelCategory.FibrantObjectHomotopy
public import Mathlib.CategoryTheory.Localization.DerivabilityStructure.Constructor
/-!
# T... |
4,587 | lean_file_chunk | dca7d2966b06e23355c4c834c39e1a10c92c7ee586a8d536182531771897c17f | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.ModelCategory.Basic
public import Mathlib.CategoryTheory.MorphismProperty.Comma
public import Mathlib.CategoryTheory.LiftingProp... |
22,592 | lean_file_chunk | a9541d1309bd7944cb807443c20136fb43d48ea6950df686ba116180ec00cae5 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.ModelCategory.CofibrantObjectHomotopy
public import Mathlib.AlgebraicTopology.ModelCategory.FibrantObjectHomotopy
public import ... |
13,605 | lean_file_chunk | ecb21b589ebb3c5288258a56e6fd4e5c060122ec0b9500e364edaf926de7c4a4 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2026 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.ModelCategory.Homotopy
public import Mathlib.AlgebraicTopology.ModelCategory.Bifibrant
public import Mathlib.CategoryTheory.Morp... |
11,047 | lean_file_chunk | 53d1b516b1fd70b6702e7a602cf88d2f6af5cc6f17311a71dfd9da2417a36cf1 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.ModelCategory.PathObject
public import Mathlib.CategoryTheory.Localization.Quotient
/-!
# Right homotopies in model categories
... |
5,532 | lean_file_chunk | bb7f312966aefd2c220e148472d42a716544be2048a3a3fbb1f6b35597b5c749 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.ModelCategory.BifibrantObjectHomotopy
/-!
# The fundamental lemma of homotopical algebra
Let `C` be a model category. Let `L :... |
2,190 | lean_file_chunk | 16c35b125bce9575fe5244587fcff3d2b63332ad6a4e8310db067ac82b17ff07 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.ModelCategory.CofibrantObjectHomotopy
public import Mathlib.CategoryTheory.Localization.DerivabilityStructure.Constructor
/-!
#... |
7,017 | lean_file_chunk | 8b62f758ddc10c65500348e33f36b164b88d8fdab81cb33512f387517705aed0 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.CategoryTheory.Limits.Shapes.FiniteLimits
public import Mathlib.CategoryTheory.Limits.Shapes.BinaryProducts
public import Mathlib.CategoryTheory.M... |
4,254 | lean_file_chunk | c14a3fa2ee6ec8289fab71a19e137e3f63e6b48a4f409f55a90a94b39f0bbca9 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.ModelCategory.CategoryWithCofibrations
public import Mathlib.CategoryTheory.MorphismProperty.Limits
public import Mathlib.Catego... |
3,914 | lean_file_chunk | f9cf929ffdb7af2ebd9c1ac98c553832a8de0fb44badb1f58fb791a046d60ff5 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.ModelCategory.Instances
public import Mathlib.CategoryTheory.Limits.Shapes.Terminal
/-!
# Fibrant and cofibrant objects in a mo... |
4,779 | lean_file_chunk | b9a22ca1d0adf5d1d0949245a7299e729875f14410ce4a7f7a63c10b487258fa | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.ModelCategory.Basic
public import Mathlib.AlgebraicTopology.ModelCategory.IsCofibrant
public import Mathlib.CategoryTheory.Limit... |
13,716 | lean_file_chunk | 794c155ed7aefc56eadc76b6831e0e6243674b9c6282c0008278ab73e2414876 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.ModelCategory.Homotopy
public import Mathlib.AlgebraicTopology.ModelCategory.Bifibrant
public import Mathlib.CategoryTheory.Morp... |
8,697 | lean_file_chunk | f69e868dc64ecf6a241c8d351f4e4d1fc6f16e4c66f7e4b4303b14653c346b34 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.ModelCategory.Basic
public import Mathlib.AlgebraicTopology.ModelCategory.IsCofibrant
public import Mathlib.CategoryTheory.Limit... |
10,817 | lean_file_chunk | c71e3471c71ca3693523f7a59502b828a56f47b076f9072e05960ec367174830 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.ModelCategory.Cylinder
public import Mathlib.CategoryTheory.Localization.Quotient
/-!
# Left homotopies in model categories
We... |
7,491 | lean_file_chunk | 60c699b69b62439f424ca47d1b65a03b1c1e5f04201ea95c84c3fa04a4e8092a | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.ModelCategory.IsCofibrant
/-!
# Bifibrant objects
In this file, we introduce the full subcategories `CofibrantObject C`,
`Fibr... |
9,691 | lean_file_chunk | 9c28e9b9431a1a7d4d2ae5e9ea14e8b137985c280f96abdf19410efc4bd2dd85 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.ModelCategory.BrownLemma
public import Mathlib.AlgebraicTopology.ModelCategory.LeftHomotopy
public import Mathlib.AlgebraicTopol... |
4,945 | lean_file_chunk | 13f70dace98ea9e37207920752b26ea8fe3a99f7041e075c29225cc2a6f3a351 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SimplicialSet.Dimension
public import Mathlib.AlgebraicTopology.SimplicialSet.NonDegenerateSimplices
public import Mathlib.Data.... |
724 | lean_file_chunk | 414b57027910a58ffdcf896fab3e77acbc13fe70521d912bb2866d1a497196df | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2026 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SimplicialSet.Op
public import Mathlib.AlgebraicTopology.SimplicialSet.Subcomplex
/-!
# The opposite of a subcomplex
-/
@[exp... |
11,308 | lean_file_chunk | a009fbc3fc142192db635b56e09d0f6f94615e891f3c04a8c8e0e4fbdd009892 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou, Nick Ward
-/
module
public import Mathlib.AlgebraicTopology.SimplicialSet.Horn
public import Mathlib.AlgebraicTopology.SimplicialSet.SubcomplexColimits
public import Mathlib.Cat... |
2,310 | lean_file_chunk | bf187c0de3379730faab4620f50a17d687310249e90670d7060da74b9c3cc592 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SimplicialSet.FiniteColimits
public import Mathlib.AlgebraicTopology.SimplicialSet.FiniteProd
public import Mathlib.AlgebraicTop... |
19,585 | lean_file_chunk | 346ca9975945075c94fbce9744346e1ac2c8f6369eeeff5b2e002608d3a6919a | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Mario Carneiro and Emily Riehl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Emily Riehl, Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SimplexCategory.MorphismProperty
public import Mathlib.AlgebraicTopology.Simpl... |
13,346 | lean_file_chunk | a3f4ad98ac5c1e36b84b42fa292849a9f8bace1cf0e3532c3c24cd503fe6d18a | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2021 Kim Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Kim Morrison, Adam Topaz, Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SimplicialSet.StdSimplex
public import Mathlib.CategoryTheory.Subfunctor.Equalizer
... |
3,307 | lean_file_chunk | 11323a7b6710a878c09f0ff7008558b8c57fa2abc12e8ad6811f5b4acbe8896c | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.ModelCategory.CategoryWithCofibrations
public import Mathlib.AlgebraicTopology.SimplicialSet.Boundary
public import Mathlib.Alge... |
3,124 | lean_file_chunk | 08f0d6a89bdce80eec00d5c8a4308e33ade0f3664c853cd6480cd037de8c0a8b | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2026 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SimplicialSet.StdSimplex
public import Mathlib.AlgebraicTopology.SimplexCategory.ToMkOne
/-!
# Simplices in `Δ[1]`
We define a... |
3,111 | lean_file_chunk | 92dd954fa64133e33d2fb5fa8e7a1f1f6a15fcbf096aa96ede70a2b7ff9d815a | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SimplicialSet.Finite
public import Mathlib.CategoryTheory.Limits.Shapes.FiniteProducts
/-!
# Finite colimits of finite simplici... |
21,944 | lean_file_chunk | 4f093f415df22bfb81a19cc6766493d312ca451b7a2157dfc05f3e1e2196e942 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Emily Riehl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Emily Riehl, Joël Riou, Johan Commelin, Nick Ward
-/
module
public import Mathlib.AlgebraicTopology.SimplicialSet.Nerve
public import Mathlib.AlgebraicTopology.Simplicial... |
2,776 | lean_file_chunk | 5ead77fec1f42a548c7cf7c1a0f09ff8574acdb00292edef356818fa07fd8df0 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SimplicialSet.Degenerate
public import Mathlib.AlgebraicTopology.SimplicialSet.Nerve
/-!
# The nondegenerate simplices in the n... |
11,429 | lean_file_chunk | d0f189ce0565a64f7b12fafbd03ca6706d03bc50ad5e04d5b886f692f1027b49 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou, Jack McKoen
-/
module
public import Mathlib.AlgebraicTopology.SimplicialSet.StdSimplex
public import Mathlib.AlgebraicTopology.SimplicialSet.SubcomplexColimits
public import Mat... |
7,226 | lean_file_chunk | 46d88a39f0c45cb4dfbe7403810e431190821c9129bbcaeb2cba426059b092d4 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SimplicialSet.CompStructTruncated
/-!
# Edges and "triangles" in simplicial sets
Given a simplicial set `X`, we introduce two ... |
9,136 | lean_file_chunk | 198f9c80b004add98bfe1cb9f9b8088443a555e1735cebade4fc4468cae45b00 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2022 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SimplicialSet.CompStruct
public import Mathlib.CategoryTheory.ComposableArrows.Basic
/-!
# The nerve of a category
This file ... |
5,650 | lean_file_chunk | 02ea5909c13523a407211e6cd91dc85860573494a4970ef0489ace2db8d41707 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SimplicialSet.Degenerate
/-!
# The skeleton of a simplicial set
In this file, we define the skeleton `X.skeleton : ℕ →o X.Subc... |
22,795 | lean_file_chunk | 290b356062ba457c52dc1d1ffb3eeb9684890227322431b35f3f9bee2e3fe445 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Mario Carneiro and Emily Riehl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Emily Riehl, Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SimplicialObject.Basic
public import Mathlib.AlgebraicTopology.SimplicialSet.C... |
3,057 | lean_file_chunk | aebb6a6d3cea196b18a8bd9871b7efedf139141a3aa70de2bb284967bfe8e9dd | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SimplicialObject.Op
public import Mathlib.AlgebraicTopology.SimplicialSet.Basic
/-!
# The covariant involution of the category ... |
5,657 | lean_file_chunk | 49d08dc02ad9d659193f3b26d5ccee2a14adb2e9f29ec3acd7a731fddb8ed067 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.CategoryTheory.Elements
public import Mathlib.AlgebraicTopology.SimplicialSet.Op
public import Mathlib.AlgebraicTopology.SimplicialSet.Subcomplex
... |
4,065 | lean_file_chunk | a9ffbb5a3d0ff590f390424365bb6ca8f8f5c30b70beae4edf1fa57915e0e47a | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2021 Kim Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Kim Morrison, Adam Topaz
-/
module
public import Mathlib.AlgebraicTopology.SimplicialSet.StdSimplex
/-!
# The boundary of the standard simplex
We introduce the boundar... |
10,813 | lean_file_chunk | dc22fdaef2dbe061cba852511014882088583ea4ab16d1099a7732e0acb84b2a | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SimplicialSet.Basic
public import Mathlib.CategoryTheory.Subfunctor.OfSection
/-!
# Subcomplexes of a simplicial set
Given a s... |
1,618 | lean_file_chunk | b57e66ca70e4a35cf8771ab62c065f925596779ff2dccb6a5bd369b136f5cead | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2023 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.ModelCategory.IsCofibrant
public import Mathlib.AlgebraicTopology.SimplicialSet.CategoryWithFibrations
publ... |
2,026 | lean_file_chunk | 8d8c279e2cbfa1502ad5938725116bbe3c43e851c4051b88b1e5aa2a26875d8b | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2026 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SimplicialSet.StdSimplex
/-!
# Nonempty simplicial sets
-/
@[expose] public section
universe u
open Simplicial CategoryTheo... |
2,995 | lean_file_chunk | c4d95dd8ac4eada6e7c8e3d8b9b36ed89e37a96f58934750c1a8cf9e2563dfa0 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SimplicialSet.ProdStdSimplex
public import Mathlib.AlgebraicTopology.SimplicialSet.StdSimplexOne
/-!
# Binary products `Δ[n] ⊗ ... |
9,381 | lean_file_chunk | 4f4a491a2591c39541affd1b5ffc5baa6f1401be53c59b9303349dac85349773 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2021 Kim Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Kim Morrison, Adam Topaz
-/
module
public import Mathlib.AlgebraicTopology.SimplicialObject.Basic
public import Mathlib.CategoryTheory.Limits.Types.Colimits
public impor... |
7,487 | lean_file_chunk | 6274ff50a83c229b9151e9019344c05f7cd223624901c58bb8167ffaf53aa153 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2026 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SingularSet
public import Mathlib.AlgebraicTopology.SimplicialSet.Monoidal
public import Mathlib.Topology.Category.TopCat.Monoid... |
515 | lean_file_chunk | f71d096a3e5f9a4af221bc6d938f4aea160efa26c95b8f0ca281d94d1cc9f467 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SimplicialSet.Basic
public import Mathlib.CategoryTheory.Functor.RegularEpi
/-!
# The category of simplicial sets is a regular ... |
13,670 | lean_file_chunk | 5af4058ec17d9b5adcd5d88fc9bf7034e754fd1e4daad69f6dbb8bd16e378552 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Emily Riehl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Emily Riehl, Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SimplicialSet.Horn
/-!
# Paths in simplicial sets
A path in a simplicial set `X` of length `n` ... |
3,378 | lean_file_chunk | 905202143ec5d2a0a5c991e6819eca83c51902e7107a63c39e6929879463de66 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SimplicialSet.ProdStdSimplex
/-!
# A binary product of finite simplicial sets is finite
If `X₁` and `X₂` are respectively of d... |
5,769 | lean_file_chunk | 5e515d3e2cd9ced2fb69362a757843be58df18f6e9aebc3df27fc1d9d2565500 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2026 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SimplicialSet.Nonempty
public import Mathlib.CategoryTheory.Limits.Preserves.Shapes.Equalizers
/-!
# Connected components of si... |
5,396 | lean_file_chunk | 5f2352002ec72c618420cc62a8c097a7a073d5ab028c66529c1d4398dd88c01f | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SimplicialSet.Basic
public import Mathlib.AlgebraicTopology.SimplexCategory.Truncated
/-!
# Edges and "triangles" in truncated ... |
6,956 | lean_file_chunk | 7ee6f17339d93cb15fd4c85af6865ebda47e4948a1286f456c68eb41edf9ea21 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SimplicialSet.Monoidal
public import Mathlib.AlgebraicTopology.SimplicialSet.NerveNondegenerate
/-!
# Binary product of standar... |
10,735 | lean_file_chunk | 4076f45b0636659c560a53bc21fe6ccd3c7a8899f83dd4db43736fe0faae83e3 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SimplicialSet.Degenerate
public import Mathlib.AlgebraicTopology.SimplicialSet.Simplices
public import Mathlib.AlgebraicTopology... |
1,452 | lean_file_chunk | ace807fee7c46ee2507baa5412a556b767c2464c94840c3d32c2356d595dfe51 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SimplicialSet.Basic
public import Mathlib.CategoryTheory.MorphismProperty.FunctorCategory
public import Mathlib.CategoryTheory.T... |
16,503 | lean_file_chunk | 2001b590c70d551a31e4cbe59ecca789890c6ed51f286f200b9d9caa52361c05 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SimplicialSet.HomotopyCat
public import Mathlib.CategoryTheory.Functor.CurryingThree
public import Mathlib.CategoryTheory.Monoid... |
13,584 | lean_file_chunk | c986b63c803cd7db8ad5c5e039760dc0e46a19835f3dfa7c48a2a5c0d42ba86a | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SimplicialSet.Op
public import Mathlib.AlgebraicTopology.SimplicialSet.Subcomplex
/-!
# Degenerate simplices
Given a simplicia... |
1,630 | lean_file_chunk | 979ec62a652e5fab10a5fbe0d8754986ef350a5f8f4307c6fb8821d959c38aac | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SimplicialSet.Subcomplex
public import Mathlib.CategoryTheory.Limits.Preorder
public import Mathlib.CategoryTheory.Limits.Set
/... |
3,879 | lean_file_chunk | e1c688e5887cf9c14c2e41c39721fc889174931fd4a905af607043b8540ee072 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SimplicialSet.NonDegenerateSimplices
/-!
# The type of nondegenerate simplices not in a subcomplex
In this file, given a subco... |
3,387 | lean_file_chunk | 114bf3b477097f8f747ad3df92ac669147f1f2326d081c1fe7550643e33ce06d | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SimplicialSet.Subcomplex
public import Mathlib.CategoryTheory.Limits.Types.Multicoequalizer
/-!
# Colimits involving subcomplex... |
4,970 | lean_file_chunk | 86d2505c2e1459bc414f535e83b1bbd858be228a6fe74077a128de45fba918d6 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SimplicialSet.Degenerate
/-!
# Dimension of a simplicial set
For a simplicial set `X` and `d : ℕ`, we introduce a typeclass
`X... |
23,994 | lean_file_chunk | 2aece50abc3b3b62b25f7b702f36607053037de45a75f71fdcb2c5ec87cf9d80 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2021 Kim Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Kim Morrison, Adam Topaz, Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SimplicialSet.Finite
public import Mathlib.AlgebraicTopology.SimplicialSet.NerveNon... |
1,428 | lean_file_chunk | d1e102752e6a35995e632f6b3a404a0b5b001492448c4bfd9d5b64e7f00a3bac | lean_source_file | pkg_mathlib_source_file_chunks | rw [mem_nonDegenerate_iff_strictMono]
exact fun _ _ h ↦ h
lemma nonDegenerate_top_dim (n : ℕ) :
(Δ[n] : SSet.{u}).nonDegenerate n = {(objEquiv (m := (op ⦋n⦌))).symm (𝟙 _)} := by
ext x
simp only [Set.mem_singleton_iff]
refine ⟨fun h ↦ ?_, ?_⟩
· obtain ⟨f, rfl⟩ := objEquiv.symm.surjective x
have : Mon... |
11,074 | lean_file_chunk | 009bdc9358be5fa6dc57bfcee815cc6acd309666f30932c24f2281accfc9d26e | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Emily Riehl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Emily Riehl, Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SimplicialObject.Coskeletal
public import Mathlib.AlgebraicTopology.SimplicialSet.StrictSegal
pub... |
6,327 | lean_file_chunk | f6cc76eee0ff801b8705406a41ce9a801439cafeae65ee1a6921a76710b22c24 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SimplicialSet.Monoidal
public import Mathlib.AlgebraicTopology.SimplicialSet.Subcomplex
/-!
# Relative morphisms of simplicial ... |
5,641 | lean_file_chunk | d702432fc12b621dc84293c105132f93dfdfd2685c9e520f2754d376c809ec99 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2026 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SimplicialObject.Homotopy
public import Mathlib.AlgebraicTopology.SimplicialSet.ProdStdSimplexOne
public import Mathlib.Algebrai... |
5,822 | lean_file_chunk | 1b409ca19bc1d717c8ffd471dbbec09004ee1ccd61acc5a5e946db071f2d41b2 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Andrew Yang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andrew Yang
-/
module
public import Mathlib.Algebra.Homology.AlternatingConst
public import Mathlib.AlgebraicTopology.SimplicialSet.Homology.Basic
public import Mathlib.AlgebraicTopology... |
2,583 | lean_file_chunk | 812580852a9a46cfff0be8bd30db7c287967c9fe51ee633d2d09095177aca9bd | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2026 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou, Fabian Odermatt
-/
module
public import Mathlib.AlgebraicTopology.SimplicialSet.Homology.HomotopyInvariance
public import Mathlib.AlgebraicTopology.SingularHomology.Basic
public... |
3,991 | lean_file_chunk | 61d9d1ad6c51e277b70ca64824f9424755c74ab533e3931dbafe51cdb4712749 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Nick Ward. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Emily Riehl, Nick Ward
-/
module
public import Mathlib.AlgebraicTopology.Quasicategory.Basic
public import Mathlib.AlgebraicTopology.SimplicialSet.StrictSegal
/-!
# Strict... |
949 | lean_file_chunk | 19bae4ae1d5cf8708c7206721ad1c05b40ae6f4ea66226629c392f3930fdcc26 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Nick Ward. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Emily Riehl, Nick Ward
-/
module
public import Mathlib.AlgebraicTopology.Quasicategory.StrictSegal
/-!
# The nerve of a category is a quasicategory
In `AlgebraicTopology.... |
11,426 | lean_file_chunk | 1451d484afcf7c717d4c0e2492968e3bb05f7b517c070342dfd994cb56d3a465 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Julian Komaromy. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Julian Komaromy, Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SimplicialSet.Basic
public import Mathlib.AlgebraicTopology.SimplicialSet.CompStructTruncated
/-!
# 2-tr... |
2,941 | lean_file_chunk | 96b0b760ba434f03000c7c7aecf479f76d431958b6452ae587b47d6ed2535dcb | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Emily Riehl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Emily Riehl
-/
module
public import Mathlib.CategoryTheory.Bicategory.CatEnriched
public import Mathlib.AlgebraicTopology.Quasicategory.Basic
public import Mathlib.AlgebraicTopology.Simp... |
2,340 | lean_file_chunk | e7f76ea16ec3f887a67eb52cbe686d0c135d68a1b65cc5d011ad0e8f652b3cba | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2023 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
module
public import Mathlib.AlgebraicTopology.SimplicialSet.KanComplex
/-!
# Quasicategories
In this file we define quasicategories,
a common model of infinity ca... |
11,077 | lean_file_chunk | 423047c448c61d97088ba92d6d6389c9fc41cd531a44c5726dc46175b5c8e150 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Bolton Bailey. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bolton Bailey
-/
module
public import Mathlib.LinearAlgebra.AffineSpace.Independent
public import Mathlib.Order.UpperLower.Relative
/-!
# Abstract Simplicial complexes
In this file, ... |
7,774 | lean_file_chunk | 6aba4254b61eb027affef3f5985a7faacf99bcd840747f34d608441691d4580f | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2026 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SimplexCategory.Basic
/-!
# Morphisms to `⦋1⦌`
We define a bijective map `SimplexCategory.toMk₁ : Fin (n + 2) → `⦋n⦌ ⟶ ⦋1⦌`.
T... |
23,978 | lean_file_chunk | a30f7d5ef42efce0437fff1933cb602d382d6f4424f7416c6e4f39ca86ad3225 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2020 Kim Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Kim Morrison, Adam Topaz, Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SimplexCategory.Defs
public import Mathlib.Data.Fintype.Sort
public import Mathlib.... |
8,947 | lean_file_chunk | 9f2f9c409d7253578e5c68a594e1fedfec167dcc42ef808eee399469350f8263 | lean_source_file | pkg_mathlib_source_file_chunks | exact Iso.inv_hom_id_apply (asIso ((forget _).map f)) x }⟩
theorem isIso_of_bijective {x y : SimplexCategory} {f : x ⟶ y}
(hf : Function.Bijective f.toOrderHom.toFun) : IsIso f :=
haveI : IsIso ((forget SimplexCategory).map f) := (isIso_iff_bijective _).mpr hf
isIso_of_reflects_iso f (forget SimplexCategory)
... |
3,712 | lean_file_chunk | 8850e1763fca88e2226a99301beebac8d3c87b05b2e29cd2c99f3c8cad88d921 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2026 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SimplexCategory.Basic
/-!
# The semi-simplex category
We define a category `SemiSimplexCategory` so that semi-simplicial objec... |
7,618 | lean_file_chunk | 4c7cba5b94b2e66dac04e1b797383cdce52b041dae30cdb3cbfb13cadd9dd85b | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2020 Kim Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Kim Morrison, Adam Topaz
-/
module
public import Mathlib.CategoryTheory.Category.Preorder
public import Mathlib.CategoryTheory.Opposites
public import Mathlib.Order.Fin.... |
4,737 | lean_file_chunk | 9b69664a234df13f50432339ab986e7494237a777c3a10654ae36413033183ef | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Jakob von Raumer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jakob von Raumer
-/
module
public import Mathlib.AlgebraicTopology.SimplexCategory.Basic
public import Mathlib.CategoryTheory.Limits.Final
/-! # Properties of the truncated simplex... |
3,350 | lean_file_chunk | 11e2280283be1490be8baf5eac2c6851f1dbd762c55cf14397c251e9bbb1f169 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SimplexCategory.Truncated
public import Mathlib.CategoryTheory.MorphismProperty.Composition
/-!
# Properties of morphisms in th... |
2,684 | lean_file_chunk | ed03f0030dceaadeccd1531d2882648e1e9f4c1cbfcc9f53a92f4a78d6afcc74 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SimplexCategory.Basic
/-!
# The covariant involution of the simplex category
In this file, we introduce the functor `rev : Sim... |
2,864 | lean_file_chunk | 038963e5d942bf20bf8c4701c940e156f130c6149e748257d5ee83a2b047364c | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SimplicialSet.AnodyneExtensions.Rank
public import Mathlib.Data.Finite.Sigma
/-!
# Existence of a rank function to natural numb... |
8,903 | lean_file_chunk | b80f692304b365ab7bed8893406ea577c1229f2c6525088eb5ebf948d76466db | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SimplicialSet.AnodyneExtensions.Pairing
/-!
# Helper structure in order to construct pairings
In this file, we introduce a hel... |
5,484 | lean_file_chunk | 8f4fbb33d0ed7ac7152e0b2fffdcc3eb04ff5a134168e7cd68f295f3aeb54c4a | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SimplicialSet.AnodyneExtensions.PairingCore
public import Mathlib.Order.OrderIsoNat
/-!
# Rank functions for pairings
We intro... |
1,838 | lean_file_chunk | 3fd16e60b7638b036b808e0ff2114dfe8714ecdfaf20774fef587ba662b0776b | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2026 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SimplicialSet.SubcomplexOp
public import Mathlib.AlgebraicTopology.SimplicialSet.AnodyneExtensions.Pairing
/-!
# The opposite o... |
4,629 | lean_file_chunk | 2c3c92c6e48384057cf3bf82df0e59b3255bd7b4632e7fbe0d82ee6f0a97c2bf | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SimplicialSet.Simplices
/-!
# Simplices that are uniquely codimensional one faces
Let `X` be a simplicial set. If `x : X _⦋d⦌`... |
7,352 | lean_file_chunk | 598c4e2ca7876bc760924ee0cede16e1b01b73dca9e191f0a831d35bff6f602e | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2026 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SimplicialSet.AnodyneExtensions.RankNat
public import Mathlib.AlgebraicTopology.SimplicialSet.AnodyneExtensions.RelativeCellComp... |
23,926 | lean_file_chunk | b39794c443f6f7ff69be9d48104f745d34bf03d6c4e525480192c198aabdeeae | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2026 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.RelativeCellComplex.Basic
public import Mathlib.AlgebraicTopology.SimplicialSet.AnodyneExtensions.Rank
public import Mathlib.Alg... |
1,820 | lean_file_chunk | a0e8fafeb83f5be8da0bbdc714ae7633a2d95d3181de49a638e6cb78c95be028 | lean_source_file | pkg_mathlib_source_file_chunks | obtain rfl := X.unique_nonDegenerate_map (x := (((f.b _)).app _ x₁).val)
g₁ ⟨_, f.isPushout_aux₁ s₁⟩
(by simp [mapN, ← hg₁, dsimp% NatTrans.naturality_apply (f.b j)])
g₂ ⟨_, f.isPushout_aux₁ s₁⟩
(by simp [mapN, dsimp% h, ← hg₂, dsimp% NatTrans.naturality_apply (f.b j)])
rw [← hg₁, hg₂])⟩... |
6,749 | lean_file_chunk | d2834f698f03071829af8ae4181e5476aedf6213cb624651e096ef295ac03039 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SimplicialSet.NonDegenerateSimplicesSubcomplex
public import Mathlib.AlgebraicTopology.SimplicialSet.AnodyneExtensions.IsUniquel... |
5,214 | lean_file_chunk | 860646288c9656abb63474886bfd44b17c5ec877bf6f25ba9567e404c3369fdb | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SimplicialSet.Boundary
public import Mathlib.AlgebraicTopology.SimplicialSet.RelativeMorphism
/-!
# Pointed simplices
Given a ... |
5,043 | lean_file_chunk | 7a4b89eda8659c02837ed2afda8da4ed5574c3ace419a5925d7bff5bc52d23fe | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2026 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SimplicialSet.PiZero
public import Mathlib.AlgebraicTopology.SimplicialSet.Homology.Basic
public import Mathlib.CategoryTheory.L... |
5,661 | lean_file_chunk | 7d96d6cb60d4a40b17a3064d5042380fde9eb5e3c028ca38d0e4fbf0a8d25b85 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2026 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou, Andrew Yang
-/
module
public import Mathlib.Algebra.Homology.ShortComplex.HomologicalComplex
public import Mathlib.AlgebraicTopology.AlternatingFaceMapComplex
public import Math... |
4,814 | lean_file_chunk | e74daceaf23257a292e4343af4334532f8fc313abaf3b89f41fa9df16f9c5000 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Fabian Odermatt. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Fabian Odermatt, Joël Riou
-/
module
public import Mathlib.AlgebraicTopology.SimplicialObject.ChainHomotopy
public import Mathlib.AlgebraicTopology.SimplicialSet.Homology.Basic
publi... |
15,228 | lean_file_chunk | 75fc49d2ca1540a11a38c6d8fcd132b258da822b2727c222945798193feef340 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Robin Carlier. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robin Carlier
-/
module
public import Mathlib.AlgebraicTopology.SimplexCategory.Augmented.Basic
public import Mathlib.CategoryTheory.Monoidal.Category
/-!
# Monoidal structure on the ... |
5,011 | lean_file_chunk | 818da3a019bba0417d3d54c7979f0fedc4ce2d92afe55f7ec05d68fa9a9811a7 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Robin Carlier. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robin Carlier
-/
module
public import Mathlib.CategoryTheory.WithTerminal.Basic
public import Mathlib.AlgebraicTopology.SimplexCategory.Basic
public import Mathlib.AlgebraicTopology.Si... |
14,958 | lean_file_chunk | fb4fd60e23095aca0ee132610fb50a6a9fa6eaeba818d098452e1f57f108c387 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Robin Carlier. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robin Carlier
-/
module
public import Mathlib.AlgebraicTopology.SimplexCategory.GeneratorsRelations.EpiMono
/-! # Normal forms for morphisms in `SimplexCategoryGenRel`.
In this file, ... |
8,197 | lean_file_chunk | 5815710f573d5ef87d51ffc5c66b2f273bbca61f8aba9f4f9309875d52b80438 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Robin Carlier. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robin Carlier
-/
module
public import Mathlib.AlgebraicTopology.SimplexCategory.GeneratorsRelations.Basic
/-! # Epi-mono factorization in the simplex category presented by generators a... |
11,684 | lean_file_chunk | 445e37dce43ea6599dab61e1fa114517fe110a50b80bc62ba9b466270b7a6f25 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Robin Carlier. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robin Carlier
-/
module
public import Mathlib.AlgebraicTopology.SimplexCategory.Basic
public import Mathlib.CategoryTheory.PathCategory.Basic
/-! # Presentation of the simplex category... |
15,400 | lean_file_chunk | a14fa747479f63acf25f9b815b63d1f3d259b0ba11d450f4c4527f605572a6f2 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2020 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
module
public meta import Mathlib.Data.Finsupp.ToDFinsupp
public meta import Mathlib.Data.Int.Range
public meta import Mathlib.Data.List.Sigma
public meta import Plausible... |
875 | lean_file_chunk | ed2bdc0e331e728eaee823d8d026ad07427c53113096a31642c9e4e1a9ca2283 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2022 Henrik Böving. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Henrik Böving, Simon Hudon
-/
module
public import Plausible.Testable
public meta import Mathlib.Logic.Basic
public import Mathlib.Tactic.Basic
public import Plausible.Gen
public meta ... |
1,564 | lean_file_chunk | e50f7bbabd7d312ed735293db31ddfd6975f954cf33620388fe2b7e3d5605283 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2022 Henrik Böving. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Henrik Böving, Simon Hudon
-/
module
public import Mathlib.Data.Int.Order.Basic
public meta import Mathlib.Data.List.Monad
public meta import Mathlib.Data.PNat.Defs
public import Plaus... |
23,995 | lean_file_chunk | 8dad0b5d4ac87113e723fa0a3fcf0639e6b922222b0eccca0130a78e73b39e79 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Dagur Asgeirsson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Dagur Asgeirsson
-/
module
public import Mathlib.Condensed.Discrete.LocallyConstant
public import Mathlib.Condensed.Equivalence
public import Mathlib.Topology.Category.LightProfinit... |
2,620 | lean_file_chunk | 6319f31738d90b519b47a71786bdbfbc43b38ffbd3f04ca41669e3d4dccc7cc5 | lean_source_file | pkg_mathlib_source_file_chunks | NatIso.ofComponents (fun X ↦ isoFinYonedaComponents F (toLightProfinite.obj X.unop)) fun _ ↦ by
simp only [comp_obj, op_obj, finYoneda_obj, Functor.comp_map, op_map]
ext
simp only [isoFinYonedaComponents_hom, TypeCat.Fun.toFun_apply, CategoryTheory.comp_apply,
ConcreteCategory.hom_ofHom, TypeCat.Fun.c... |
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