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 |
|---|---|---|---|---|---|
2,161 | lean_file_chunk | 3be9f304d2b5df7731c7301385543e32c5e1249f4b52dd5156ee7cadb3ca83b9 | 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: Kim Morrison
-/
module
public import Mathlib.Algebra.Category.Grp.Basic
public import Mathlib.CategoryTheory.Limits.Shapes.ZeroObjects
/-!
# The category of (commutative) (additive) gr... |
2,330 | lean_file_chunk | 0ed55ac35c0204e170e421991e1ba830184cb4bd5d47603816997107891d90b9 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2022 Jujian Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jujian Zhang
-/
module
public import Mathlib.Algebra.Category.Grp.Basic
/-!
# Equivalence between `Group` and `AddGroup`
This file contains two equivalences:
* `groupAddGroupEquivalen... |
3,497 | lean_file_chunk | aa20955f21098876a58c93ba5c90377d5f618327de5d623a24ed7632e85cc02f | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2023 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-/
module
public import Mathlib.CategoryTheory.Monoidal.Transport
public import Mathlib.Algebra.Category.AlgCat.Basic
public import Mathlib.Algebra.Category.ModuleCat.Monoida... |
7,781 | lean_file_chunk | 4aca9f2a6c3a89c1184c8d0340b9da48bc3f6b66114ae60e6e741e30203c9062 | 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: Kim Morrison
-/
module
public import Mathlib.Algebra.Algebra.Subalgebra.Basic
public import Mathlib.Algebra.FreeAlgebra
public import Mathlib.Algebra.Category.Ring.Basic
public import M... |
916 | lean_file_chunk | 132b01c434b702b05b4b823a6a7366649d355c9bbaf25f32997bde3e46d49776 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2023 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-/
module
public import Mathlib.Algebra.Category.AlgCat.Monoidal
public import Mathlib.Algebra.Category.ModuleCat.Monoidal.Symmetric
/-!
# The monoidal structure on `AlgCat`... |
6,651 | lean_file_chunk | b3cd5bba35e30e8c477e2677eec89116735167691315f8ddc60c07a75d530cef | 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: Kim Morrison
-/
module
public import Mathlib.Algebra.Algebra.Pi
public import Mathlib.Algebra.Algebra.Shrink
public import Mathlib.Algebra.Category.AlgCat.Basic
public import Mathlib.Al... |
3,068 | lean_file_chunk | 572b221ecb2dbeb822007aa5834a0646e0930bb91551ccb118f66ec1d7aebb8e | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Amelia Livingston. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Amelia Livingston
-/
module
public import Mathlib.Algebra.Category.AlgCat.Monoidal
public import Mathlib.Algebra.Category.BialgCat.Basic
public import Mathlib.Algebra.Category.Coal... |
6,105 | lean_file_chunk | d88c74140692c7fbe6fcf34d93ce303d588a6df5b339e817eead5d484b8d61dd | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Amelia Livingston. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Amelia Livingston
-/
module
public import Mathlib.Algebra.Category.CoalgCat.Basic
public import Mathlib.Algebra.Category.AlgCat.Basic
public import Mathlib.RingTheory.Bialgebra.Equ... |
8,408 | lean_file_chunk | d30fcde01d4764693a0bcb219e63f709e65cb89a1ab0f53f2e75220abdfa6a57 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2022 Kim Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kim Morrison
-/
module
public import Mathlib.Algebra.Group.Pi.Lemmas
public import Mathlib.CategoryTheory.Limits.Shapes.BinaryBiproducts
public import Mathlib.Algebra.Category.ModuleCat... |
2,861 | lean_file_chunk | 6af2b8643880b2b0bbb14fdcdaa8220ad5dcf553602e5325a492f3ccb3b2a4eb | 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: Kim Morrison
-/
module
public import Mathlib.LinearAlgebra.Quotient.Basic
public import Mathlib.Algebra.Category.ModuleCat.Basic
public import Mathlib.CategoryTheory.ConcreteCategory.Ep... |
3,806 | lean_file_chunk | 80a3546a35b9510e0c1db451d2715c0eeb14d15304729abd2457f8ce3a12b1d6 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2022 Kim Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kim Morrison
-/
module
public import Mathlib.Algebra.Category.ModuleCat.Basic
public import Mathlib.LinearAlgebra.Pi
public import Mathlib.Algebra.DirectSum.Module
public import Mathlib... |
10,241 | lean_file_chunk | 20db1ec1afb8aa0b7326c6ae8762cf3c71f564a34dafae6b5cdd978a7c3c23f6 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2026 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.Category.ModuleCat.Presheaf
public import Mathlib.Algebra.Category.Ring.Colimits
public import Mathlib.Algebra.Category.Ring.FilteredC... |
3,860 | lean_file_chunk | cd926df1157b6089c11f30c8f481cc98274b7b00a5dbbedadf106b86e94d9106 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2020 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
module
public import Mathlib.LinearAlgebra.Isomorphisms
public import Mathlib.Algebra.Category.ModuleCat.Kernels
public import Mathlib.Algebra.Category.ModuleCat.Limit... |
17,323 | lean_file_chunk | e9e76fef8e58f5fb95ef3b337df9c637d5caa17016b5a6c2a68f81c138cd1197 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2023 Kim Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kim Morrison, Joël Riou
-/
module
public import Mathlib.Algebra.Category.ModuleCat.ChangeOfRings
public import Mathlib.Algebra.Category.Ring.Basic
/-!
# Presheaves of modules over a pr... |
2,941 | lean_file_chunk | bb85b8fe9ec7c8029dd866c95ba1acb68deb0aa103a5bde6b102a943ace7a178 | 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.Algebra.Category.ModuleCat.ChangeOfRings
public import Mathlib.Algebra.Category.Ring.Basic
public import Mathlib.CategoryTheory.Bicategory.Functor... |
4,829 | lean_file_chunk | 683cd029e76f442f9a6c619013dbd7c7f6c23421fd1d51a194c7f35807c964ed | 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.LinearAlgebra.ExteriorPower.Basic
public import Mathlib.Algebra.Category.ModuleCat.Basic
/-!
# The exterior powers as functors on the category of... |
1,119 | lean_file_chunk | 5226ed58348f8c598e34c9c1eace99e25e7a83c1bc70cf72d5d4e522031bd0ac | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2023 Jujian Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jujian Zhang
-/
module
public import Mathlib.Algebra.Category.Grp.EnoughInjectives
public import Mathlib.Algebra.Category.ModuleCat.ChangeOfRings
public import Mathlib.Algebra.Ring.Shri... |
2,685 | lean_file_chunk | 43621c89d3af93cae0f853d4fd1d49a2169fd7a55b1bc711e30b81ba374b9174 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Dagur Asgeirsson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Dagur Asgeirsson, Jack McKoen, Christian Merten, Joël Riou, Adam Topaz
-/
module
public import Mathlib.Algebra.Category.ModuleCat.ChangeOfRings
public import Mathlib.CategoryTheory.... |
1,391 | lean_file_chunk | d0c6913b8391fc7fd5b7f41afd25646d08f0d7cf5677615b13f529743021c575 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2022 Kim Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kim Morrison
-/
module
public import Mathlib.Algebra.Category.ModuleCat.Basic
public import Mathlib.LinearAlgebra.Span.Basic
/-!
# Tannaka duality for rings
A ring `R` is equivalent t... |
21,711 | lean_file_chunk | 918c0b5a294b05a45bff3472096f5f79213cd3f50e54c7ada480ad033e648c52 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2019 Robert A. Spencer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert A. Spencer, Markus Himmel
-/
module
public import Mathlib.Algebra.Category.ModuleCat.Semi
public import Mathlib.Algebra.Category.Grp.Preadditive
public import Mathlib.Catego... |
3,694 | lean_file_chunk | 10c1dd9098647134a9b294273027cfe2419092e7404adf2a37432a6180ce2c53 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Nailin Guan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nailin Guan
-/
module
public import Mathlib.Algebra.Category.ModuleCat.Injective
public import Mathlib.Algebra.Category.ModuleCat.Projective
public import Mathlib.Algebra.Homology.ShortC... |
1,821 | lean_file_chunk | f092b742b3bfc8604d4d592f34ae044b221dcb61e4fd2e2da14508ac7816f298 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2022 Pierre-Alexandre Bazin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Pierre-Alexandre Bazin, Kim Morrison
-/
module
public import Mathlib.Algebra.Category.ModuleCat.Algebra
public import Mathlib.Algebra.Category.ModuleCat.Subobject
public impor... |
8,210 | lean_file_chunk | 0c04c299d2a0c805fabb80e07061c1891fa6117f7f00c63773475fcaae519bee | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2021 Justus Springer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Justus Springer
-/
module
public import Mathlib.Algebra.Category.Grp.FilteredColimits
public import Mathlib.Algebra.Category.ModuleCat.Colimits
/-!
# The forgetful functor from `R`-... |
3,818 | lean_file_chunk | 7fb061cb00dec3e96fda0d20ca0406d8e981d54c95011fd4ca0572adc4ce96f0 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2021 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
module
public import Mathlib.Algebra.Category.ModuleCat.EpiMono
public import Mathlib.Algebra.Category.ModuleCat.Kernels
public import Mathlib.CategoryTheory.Subobject... |
15,839 | lean_file_chunk | cddf64ae2ded5ef0396e2f489c966425c4f5e0bf261662dc0e2e2e97e3512a7c | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Junyan Xu. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert A. Spencer, Junyan Xu
-/
module
public import Mathlib.Algebra.Algebra.Defs
public import Mathlib.Algebra.BigOperators.Group.Finset.Defs
public import Mathlib.Algebra.Category.MonCat... |
6,488 | lean_file_chunk | b16b7b93d638d93ca5f535017a43126fd00864ce77fccb2111d6192515eafa3b | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2020 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
module
public import Mathlib.Algebra.Category.ModuleCat.EpiMono
public import Mathlib.CategoryTheory.ConcreteCategory.Elementwise
public import Mathlib.Algebra.Exact
p... |
4,311 | lean_file_chunk | 53834cbbea36b95d441522e5d0b0789d068bc14cb2c1e88029667cb0e8e735b6 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Nailin Guan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nailin Guan
-/
module
public import Mathlib.Algebra.Category.ModuleCat.Basic
public import Mathlib.Algebra.Homology.ShortComplex.ModuleCat
public import Mathlib.Algebra.Module.LocalizedM... |
1,805 | lean_file_chunk | 95178226d9a20378eae4869e50aca87226efb3721696f083af81366ef972ebd9 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2023 Jujian Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jujian Zhang
-/
module
public import Mathlib.Algebra.Module.Injective
public import Mathlib.CategoryTheory.Preadditive.Injective.Basic
public import Mathlib.Algebra.Category.ModuleCat.E... |
2,587 | lean_file_chunk | 3b297a991da5f78e70f8ca91718dcf30faaefc027b4601f0beec9dc9a6093418 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2020 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel, Kim Morrison
-/
module
public import Mathlib.Algebra.Category.ModuleCat.EpiMono
public import Mathlib.Algebra.Group.Shrink
public import Mathlib.Algebra.Module.Projectiv... |
6,707 | lean_file_chunk | 25cd2641614531912a92654969036af801eca215c401a0905ca74933135c9021 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2019 Kim Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kim Morrison, Joël Riou
-/
module
public import Mathlib.Algebra.Category.ModuleCat.Basic
public import Mathlib.Algebra.Category.Grp.Colimits
public import Mathlib.CategoryTheory.Concret... |
8,920 | lean_file_chunk | 490be2908a6102c1aec2fd506adde2946b603700fb484ecaf5ea870424821d8b | 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.Algebra.Category.ModuleCat.Presheaf
public import Mathlib.Algebra.Category.ModuleCat.Limits
public import Mathlib.CategoryTheory.Sites.LocallyBije... |
1,515 | lean_file_chunk | ebc6e841ab9f733775540523c5d9b09e14c876ab9d141f5f69861f1dfd3dd5f3 | 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.Algebra.Category.ModuleCat.Adjunctions
public import Mathlib.Algebra.Category.ModuleCat.EpiMono
public import Mathlib.Algebra.Homology.LeftResolut... |
1,793 | lean_file_chunk | 54ddd6e5841b76d1aca07db26cfcb4d8cb08a5ff5f733b7da028abbe23058213 | 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.Algebra.Category.Grp.AB
public import Mathlib.Algebra.Category.ModuleCat.Colimits
public import Mathlib.Algebra.Module.Shrink
public... |
9,361 | lean_file_chunk | 753400f964b741178148953703bfef9239093ebfa695429b0eff8e06f82fb8be | 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: Kim Morrison
-/
module
public import Mathlib.Algebra.Category.ModuleCat.Basic
public import Mathlib.Algebra.Category.Grp.Limits
public import Mathlib.Algebra.Colimit.Module
public impor... |
2,034 | lean_file_chunk | dba46bf60286bece6468f6d4a913f0e7b4f6a0b01934667e4137b329c61f4a74 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2022 Kim Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kim Morrison
-/
module
public import Mathlib.Algebra.Algebra.RestrictScalars
public import Mathlib.CategoryTheory.Linear.Basic
public import Mathlib.Algebra.Category.ModuleCat.Basic
/-... |
4,512 | lean_file_chunk | 35d7870dc7987da08a684992f20cb53a972d391c68fd59d921a6a531d84f80e5 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Nailin Guan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nailin Guan
-/
module
public import Mathlib.Algebra.Category.ModuleCat.Ext.DimensionShifting
public import Mathlib.Algebra.Category.ModuleCat.Projective
public import Mathlib.Algebra.Hom... |
23,989 | lean_file_chunk | b3ff86fa6ea43da25e1f606d40ce489ad156f25474bbb8d44249cd74cd916c01 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2022 Jujian Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jujian Zhang
-/
module
public import Mathlib.Algebra.Category.ModuleCat.EpiMono
public import Mathlib.Algebra.Category.ModuleCat.Colimits
public import Mathlib.Algebra.Category.ModuleCa... |
20,090 | lean_file_chunk | 0422fe1fff0d3c3a460c262033ee3ff0ae6b324108ab261b26b309eb3628c3cc | lean_source_file | pkg_mathlib_source_file_chunks | map_smul' := fun s (y : Y) => LinearMap.ext fun t : S => by
-- Porting note: used to be simp [mul_smul]
rw [RingHom.id_apply, LinearMap.coe_mk, CoextendScalars.smul_apply', LinearMap.coe_mk]
dsimp
rw [mul_smul] }
/--
The natural transformation from identity functor to the composition of restric... |
12,662 | lean_file_chunk | 2486e20353608c1938f433d6da65c00013f5249b1e81044545c4c02bac63db32 | 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: Kim Morrison, Johan Commelin
-/
module
public import Mathlib.Algebra.Category.ModuleCat.Monoidal.Basic
public import Mathlib.CategoryTheory.Monoidal.Types.Basic
public import Mathlib.Li... |
7,328 | lean_file_chunk | 711b7831e532b4eb289d86ac51867d6892ec52bec4059a43fc165faef3b8135e | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2023 Dagur Asgeirsson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Dagur Asgeirsson
-/
module
public import Mathlib.LinearAlgebra.Dimension.Free
public import Mathlib.Algebra.Homology.ShortComplex.ModuleCat
/-!
# Exact sequences with free modules
... |
3,544 | lean_file_chunk | c20513fa001f281ee5d3776f0b85d925e8bfd1a93626ddc5f40608c253e189b7 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2022 Kim Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kim Morrison
-/
module
public import Mathlib.Algebra.Category.ModuleCat.Abelian
public import Mathlib.CategoryTheory.Limits.Shapes.Images
/-!
# The category of R-modules has images.
N... |
4,670 | lean_file_chunk | 41af31c371c783e35eac44587f9397016345979d42a758dba5b0e41690f26b69 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Yaël Dillies, Christian Merten, Michał Mrugała, Andrew Yang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies, Christian Merten, Michał Mrugała, Andrew Yang
-/
module
public import Mathlib.Algebra.Category.CommAlgCat.Basic
public impor... |
8,056 | lean_file_chunk | f383b13d24c3d13745a435bfccf7b9240368c5406498956e97b86fe618642558 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Yaël Dillies, Christian Merten, Michał Mrugała, Andrew Yang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies, Christian Merten, Michał Mrugała, Andrew Yang
-/
module
public import Mathlib.Algebra.Category.AlgCat.Basic
public import Ma... |
4,820 | lean_file_chunk | 091ff806e101806adfe91e50f8ef78f2a85251df64c1ae97ecf7684cb0d14475 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Christian Merten, Andrew Yang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Christian Merten, Andrew Yang
-/
module
public import Mathlib.Algebra.Category.CommAlgCat.Basic
public import Mathlib.CategoryTheory.MorphismProperty.Comma
public impor... |
9,168 | lean_file_chunk | f6162f57418f97cb21208d5996a2b9bc61892fb33a9df91cd5f69232a6564e14 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Richard Hill. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Richard Hill, Andrew Yang
-/
module
public import Mathlib.Algebra.Category.ModuleCat.Topology.Homology
public import Mathlib.Algebra.Homology.Embedding.Restriction
public import Mathlib... |
2,043 | lean_file_chunk | 5a88c904f1a08cb2a3842b79830202bf0a3dedd0798ff1edf875eb3af97eb0ea | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2021 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.Category.Ring.Basic
public import Mathlib.RingTheory.Localization.Away.Basic
public import Mathlib.RingTheory.LocalRing.RingHom.Basic
... |
8,226 | lean_file_chunk | 28349a2784ed76269230b05527e31f8bce63791840eed184d46680a7ecf9ee2f | 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, Christian Merten
-/
module
public import Mathlib.Algebra.Category.Ring.Colimits
public import Mathlib.Algebra.Category.Ring.Constructions
public import Mathlib.Algebra.MvPol... |
1,144 | lean_file_chunk | df5a3455ca21bbd24a14acc76c0afa8cf56038d1c99a9e7d4265cdb7bb9f0702 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Christian Merten. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Christian Merten
-/
module
public import Mathlib.Algebra.Category.Ring.Constructions
public import Mathlib.LinearAlgebra.Basis.VectorSpace
public import Mathlib.RingTheory.Flat.Fait... |
23,979 | lean_file_chunk | 7acfc3edfe4e0d4869d964b4ef285ce40ab6dec4c1b4457ff3e9d2b111f54cd0 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2018 Kim Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kim Morrison, Johannes Hölzl, Yury Kudryashov
-/
module
public import Mathlib.Algebra.Category.Grp.Basic
public import Mathlib.Algebra.Ring.Equiv
public import Mathlib.Algebra.Ring.PUni... |
306 | lean_file_chunk | fc5e4906aaf280617b7e380155dd336f15413ffe99a6ba4aa339781181d40c2d | lean_source_file | pkg_mathlib_source_file_chunks | lemma RingCat.forget_map_apply {R S : RingCat} (f : R ⟶ S)
(x : (CategoryTheory.forget RingCat).obj R) :
(forget _).map f x = f x :=
rfl
lemma CommRingCat.forget_map_apply {R S : CommRingCat} (f : R ⟶ S)
(x : (CategoryTheory.forget CommRingCat).obj R) :
(forget _).map f x = f x :=
rfl |
15,822 | lean_file_chunk | bbcf5094eb3a89177766f0c1d4e8e1abea59949c4fe848fa437ab31d0353dace | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2021 Justus Springer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Justus Springer
-/
module
public import Mathlib.Algebra.Category.Ring.Basic
public import Mathlib.Algebra.Category.Grp.FilteredColimits
public import Mathlib.Algebra.Ring.ULift
/-!
... |
17,576 | lean_file_chunk | d2a8bbfd65a7869a973dd58f39976a099c812d5e64eace22ebc46e37f74ed182 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2021 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.Category.Ring.Colimits
public import Mathlib.Algebra.Category.Ring.Instances
public import Mathlib.Algebra.Category.Ring.Limits
public... |
8,519 | lean_file_chunk | afa75b7b0299c748fa3423bf4153a6252cb8e4f62bd5e0b23e04e3a490c55e1e | 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, Christian Merten
-/
module
public import Mathlib.Algebra.Category.Ring.FilteredColimits
public import Mathlib.CategoryTheory.Limits.Preserves.Over
public import Mathlib.Cate... |
23,755 | lean_file_chunk | 391e1089dfa28e4f4d76e2cf0970096584fe3ddc7a4fd78dce734fab512439a8 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2019 Kim Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kim Morrison
-/
module
public import Mathlib.Algebra.Category.Ring.Basic
public import Mathlib.CategoryTheory.Limits.HasLimits
/-!
# The category of commutative rings has all colimits.... |
2,175 | lean_file_chunk | 0bf2b2a093589ff3e9b875521518f5c11e52c67b874848386f1904f86d866ec8 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 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.Algebra.Epi
public import Mathlib.Algebra.Category.Ring.Basic
public import Mathlib.RingTheory.TensorProduct.Finite
public import Math... |
3,767 | lean_file_chunk | f2475183a9f653f8e0fea2c669368ed6722d95b6db5b926f8babf5e0e7f68f2a | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Yong-Gyu Choi. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yong-Gyu Choi
-/
module
public import Mathlib.CategoryTheory.Limits.Shapes.Opposites.Equalizers
public import Mathlib.RingTheory.TensorProduct.IncludeLeftSubRight
public import Mathlib... |
23,973 | lean_file_chunk | 0c025c5ea97476761c8e664acc7fe40923e30eac0ed2d32e7a20e76124cf54fa | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2019 Kim Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kim Morrison
-/
module
public import Mathlib.Algebra.Category.Grp.Limits
public import Mathlib.Algebra.Category.Ring.Basic
public import Mathlib.Algebra.Ring.Pi
public import Mathlib.Al... |
64 | lean_file_chunk | ec1ff3f940d63561b93410d3eef7963addd8e4238840341186a3e4f97ceee1a4 | lean_source_file | pkg_mathlib_source_file_chunks | CommRingCat.forget_preservesLimitsOfSize.{u, u}
end CommRingCat |
5,072 | lean_file_chunk | 00f36426ba787222b2488673504d96cddbcf1ecd44394f4d4fc8a6918304d891 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2019 Kim Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kim Morrison, Johannes Hölzl, Andrew Yang
-/
module
public import Mathlib.Algebra.Category.Ring.Colimits
public import Mathlib.Algebra.MvPolynomial.CommRing
public import Mathlib.Catego... |
2,623 | lean_file_chunk | b3ecdc4c145fb3e0709045d7f2fd1524e908389b5b0d4529440f5b48e7616e6d | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Amelia Livingston. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Amelia Livingston
-/
module
public import Mathlib.Algebra.Category.CoalgCat.Basic
public import Mathlib.Algebra.Category.ModuleCat.Monoidal.Basic
public import Mathlib.CategoryTheo... |
5,682 | lean_file_chunk | 77adff513ac69d940c4a5ea899516f660b40286c9dc4d9f78a0d07a70f8267e7 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Amelia Livingston. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Amelia Livingston
-/
module
public import Mathlib.Algebra.Category.ModuleCat.Basic
public import Mathlib.RingTheory.Coalgebra.Equiv
/-!
# The category of coalgebras over a commuta... |
9,264 | lean_file_chunk | 5b155bea0b3b9ccbd75eeae2e82e34b44cd964e749454561345cf3c01be16a1c | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Amelia Livingston. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Amelia Livingston
-/
module
public import Mathlib.Algebra.Category.CoalgCat.Basic
public import Mathlib.Algebra.Category.ModuleCat.Monoidal.Symmetric
public import Mathlib.Category... |
2,190 | lean_file_chunk | 0d085b5128f9eb564123790ae755c59e9c4103204b27637a19bc73ee0c98ba37 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Yaël Dillies, Andrew Yang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies, Andrew Yang
-/
module
public import Mathlib.Algebra.Category.MonCat.Basic
public import Mathlib.Algebra.Group.Pi.Lemmas
public import Mathlib.CategoryTheory.Y... |
17,813 | lean_file_chunk | 3cc275694601ad1a5d0cfde69cdadd03d3c37a6aae092a28e3ec03f71d263d73 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2018 Kim Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kim Morrison
-/
module
public import Mathlib.Algebra.Group.PUnit
public import Mathlib.Algebra.Group.TypeTags.Hom
public import Mathlib.Algebra.Group.ULift
public import Mathlib.Categor... |
15,510 | lean_file_chunk | 41534c9ec8b1fb7e2954def4d59dd96a1b96627bb01af4b839b7afad4d9848b2 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2021 Justus Springer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Justus Springer
-/
module
public import Mathlib.CategoryTheory.Limits.Preserves.Filtered
public import Mathlib.CategoryTheory.ConcreteCategory.Elementwise
public import Mathlib.Categ... |
3,182 | lean_file_chunk | c3bf4fc77303e79e237aea897e7c8066c72239904bbc540d8f16fac686f775fc | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Sophie Morel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sophie Morel
-/
module
public import Mathlib.Algebra.Category.MonCat.Basic
public import Mathlib.Algebra.Group.Equiv.Basic
public import Mathlib.Algebra.Group.Nat.Hom
public import Math... |
1,774 | lean_file_chunk | 92f427e5baeeef2424a62c8de5b499ae691b65125c1b57c92b23498cedd54605 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2026 Christian Merten. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Christian Merten
-/
module
public import Mathlib.Algebra.Category.MonCat.Basic
public import Mathlib.CategoryTheory.ShrinkYoneda
public import Mathlib.Algebra.Group.Shrink
/-!
# Sh... |
8,116 | lean_file_chunk | a3c42900d03ad9747bf027fdf31e9b0b08f73d9746a6b6af1221665fb06f6327 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2019 Kim Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kim Morrison
-/
module
public import Mathlib.Algebra.Category.MonCat.Basic
public import Mathlib.CategoryTheory.Limits.HasLimits
public import Mathlib.CategoryTheory.ConcreteCategory.El... |
14,379 | lean_file_chunk | 4da3082259c770bd5a8f8a395eaad1a606b92c8d105b0928688ffb3947101944 | 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: Kim Morrison
-/
module
public import Mathlib.Algebra.Category.MonCat.Basic
public import Mathlib.Algebra.Group.Pi.Basic
public import Mathlib.Algebra.Group.Shrink
public import Mathlib.... |
4,005 | lean_file_chunk | a8a5c7f80f63f11758387a171e2c33d1a8a2e788a55ebb7c7e04a2c74d5ddd1b | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2021 Julian Kuelshammer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Julian Kuelshammer
-/
module
public import Mathlib.Algebra.Category.MonCat.Basic
public import Mathlib.Algebra.Category.Semigrp.Basic
public import Mathlib.Algebra.FreeMonoid.Basi... |
3,560 | lean_file_chunk | c78337321a7289497a6be1aac285066da5c71c7fd688269a9db76d670af24cb2 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
module
public import Mathlib.Algebra.Category.FGModuleCat.Basic
public import Mathlib.RingTheory.Finiteness.Cardinality
/-!
# The category of finitely generated modules over ... |
1,030 | lean_file_chunk | 824a9a2f36973b1cb8547ed183f573529573262c365be4b4ffc13649ddf76135 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Sophie Morel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sophie Morel
-/
module
public import Mathlib.Algebra.Category.FGModuleCat.Colimits
public import Mathlib.Algebra.Category.FGModuleCat.Limits
public import Mathlib.Algebra.Category.Modul... |
10,640 | lean_file_chunk | e0583972c27c32b7d78144acc3d5c4886d57bd2ad36e76a9af805c8ef4555b65 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2021 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.Algebra.Category.ModuleCat.Monoidal.Closed
public import Mathlib.CategoryTheory.Monoidal.Rigid.Basic
public import Mathlib.CategoryT... |
2,687 | lean_file_chunk | f86e15acf3f65b4e64d7dd919bf788dcb943f0676680903dee81b289fe7281f8 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Sophie Morel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sophie Morel
-/
module
public import Mathlib.Algebra.Category.FGModuleCat.Basic
public import Mathlib.Algebra.Category.ModuleCat.Colimits
public import Mathlib.Algebra.Category.ModuleCa... |
3,012 | lean_file_chunk | 4022d31c4617096e0fa00245e81a4c9872e42386fb780f2e6be71046e01d50fc | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2022 Kim Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kim Morrison
-/
module
public import Mathlib.Algebra.Category.FGModuleCat.Basic
public import Mathlib.Algebra.Category.ModuleCat.EpiMono
public import Mathlib.Algebra.Category.ModuleCat... |
2,524 | lean_file_chunk | 4dee459753db2e65ef628734edcdc4c6932e6065e7f617770e9559338fbda624 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Amelia Livingston. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Amelia Livingston
-/
module
public import Mathlib.Algebra.Category.BialgCat.Monoidal
public import Mathlib.Algebra.Category.HopfAlgCat.Basic
public import Mathlib.RingTheory.HopfAl... |
5,697 | lean_file_chunk | 9688575adc54e77ad4763892a97510d97c8d94e7a2b1620a7ac48b89c11ff75a | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Amelia Livingston. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Amelia Livingston
-/
module
public import Mathlib.Algebra.Category.BialgCat.Basic
public import Mathlib.RingTheory.HopfAlgebra.Basic
/-!
# The category of Hopf algebras over a com... |
14,362 | lean_file_chunk | 8b0192b47ddc5c705bce60f8f5dfa238d80352ea7e98bf856c6b39421ef6a50b | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2021 Julian Kuelshammer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Julian Kuelshammer
-/
module
public import Mathlib.Algebra.PEmptyInstances
public import Mathlib.Algebra.Group.Equiv.Defs
public import Mathlib.CategoryTheory.ConcreteCategory.For... |
19,423 | lean_file_chunk | 5630d312362428a19434cb314fbb471970efd9ea00b7705f6a0ba9110fe9cec8 | 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: Richard Hill, Andrew Yang
-/
module
public import Mathlib.Algebra.Category.ModuleCat.Colimits
public import Mathlib.Algebra.Category.ModuleCat.Limits
public import Mathlib.Topology.Algeb... |
5,031 | lean_file_chunk | cd28270376222a821cdb18ad7793e710bad536bf32f7fd5fe5bcf222b1ab6d71 | 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: Richard Hill, Andrew Yang
-/
module
public import Mathlib.Algebra.Category.ModuleCat.Abelian
public import Mathlib.Algebra.Category.ModuleCat.Topology.Basic
public import Mathlib.Algebra... |
9,018 | lean_file_chunk | a02a7b83330c310b611445632d4ddd389d90008bae343c2eb0179f3a3df18beb | 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.Algebra.Category.ModuleCat.Presheaf
public import Mathlib.Algebra.Category.ModuleCat.Differentials.Basic
/-!
# The presheaf of differentials of a... |
6,113 | lean_file_chunk | e510d030b80c27248873e1c251eed4b2f411251d51b62d91ae6dfcb01a8729ee | 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.Algebra.Category.ModuleCat.ChangeOfRings
public import Mathlib.Algebra.Category.Ring.Basic
public import Mathlib.RingTheory.Kaehler.Basic
/-!
# T... |
1,282 | lean_file_chunk | 09b177d59f016603fc7206212df63c8dec070619e43d7f84e326d7a8ff15aef7 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Nailin Guan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nailin Guan
-/
module
public import Mathlib.Algebra.Category.ModuleCat.Ext.DimensionShifting
public import Mathlib.Algebra.Homology.DerivedCategory.Ext.Linear
public import Mathlib.Algeb... |
2,408 | lean_file_chunk | 4c8a60ca3f304f2ecdbf3b846bcafcf92ed4815769ce2e25e71dc3fd387a2ba0 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Nailin Guan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nailin Guan
-/
module
public import Mathlib.Algebra.Category.ModuleCat.Ext.HasExt
public import Mathlib.Algebra.Homology.DerivedCategory.Ext.EnoughInjectives
public import Mathlib.Algebr... |
797 | lean_file_chunk | 5a0ec2ac5228116457c0d808b73f6e3b6c59b9cd3387354221057b6a3a99a890 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Nailin Guan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nailin Guan
-/
module
public import Mathlib.Algebra.Category.ModuleCat.Projective
public import Mathlib.Algebra.Homology.DerivedCategory.Ext.EnoughProjectives
/-!
# HasExt instance for... |
1,155 | lean_file_chunk | 68d6753f2f57c022a35e2cc58e7743dcefc5a26653508ed02a01c1f682b73088 | 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.Algebra.Category.ModuleCat.Presheaf.Monoidal
public import Mathlib.Algebra.Category.ModuleCat.Presheaf.Pushforward
/-!
# The pushforward functor ... |
1,960 | lean_file_chunk | 6ca68bae33e687e8310334c7529909ea621f6c01ebbd52cc30d085972e1ae74f | 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.Algebra.Category.ModuleCat.Presheaf.Colimits
public import Mathlib.Algebra.Category.ModuleCat.Presheaf.Limits
/-!
# Epimorphisms and monomorphism... |
8,818 | lean_file_chunk | c957803db0cb99370a2a773b51eb3069655633b6405f29005b713f727d7d9376 | 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, Jack McKoen, Joël Riou
-/
module
public import Mathlib.Algebra.Category.ModuleCat.Presheaf.Colimits
public import Mathlib.Algebra.Category.ModuleCat.Monoidal.Close... |
1,234 | lean_file_chunk | b8434e5a18be20263f793c39418a2aaad3dc4209231354af73f32ce68b54fffa | 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.Algebra.Category.ModuleCat.Presheaf.Colimits
public import Mathlib.Algebra.Category.ModuleCat.Presheaf.Limits
public import Mathlib.Algebra.Catego... |
18,512 | lean_file_chunk | 98acd221a48db6b8c1e1f3b46cfc1f595bbee89e28ae92330adf09fc6a83272a | 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.Algebra.Category.ModuleCat.Sheaf.ChangeOfRings
public import Mathlib.CategoryTheory.Sites.LocallySurjective
/-!
# The associated sheaf of a presh... |
6,701 | lean_file_chunk | d8c8f6e1493719c0d71bd785fe73b867ac8b63be96dd16c9969e9eaa0b79d2bb | 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.Algebra.Category.ModuleCat.Presheaf.ChangeOfRings
/-!
# Pushforward of presheaves of modules
If `F : C ⥤ D`, the precomposition `F.op ⋙ _` induc... |
8,877 | lean_file_chunk | b77b202729abe3637e86c4fe29f42309b92d403e22d591afe6359215013db384 | 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.Algebra.Category.ModuleCat.Presheaf.Abelian
public import Mathlib.Algebra.Category.ModuleCat.Presheaf.EpiMono
public import Mathlib.Algebra.Catego... |
8,268 | lean_file_chunk | e38eb900b1f682a9b8c0c4b4492697fade1c61f3dedd835a2567d949627916fb | 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.Algebra.Category.ModuleCat.Presheaf.Abelian
public import Mathlib.Algebra.Category.ModuleCat.Presheaf.Sheafify
public import Mathlib.Algebra.Categ... |
6,380 | lean_file_chunk | d6a2411f8ea5083b4e9d04d7f5f477079e58e14bbf64838aef343109af951abd | 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.Algebra.Category.ModuleCat.Presheaf.Generator
public import Mathlib.Algebra.Category.ModuleCat.Presheaf.Pushforward
public import Mathlib.Category... |
6,597 | lean_file_chunk | 4747a3835a0909455962e1eb302b9983ce53e6a11fff99cfd11c425616f53e68 | 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.Algebra.Category.ModuleCat.Presheaf
public import Mathlib.Algebra.Category.ModuleCat.Colimits
/-! # Colimits in categories of presheaves of modul... |
6,430 | lean_file_chunk | 144a4a2b46ab503f026f629ff5afce505c4e36d07f9a32830d4f4d22a5cbcf56 | 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.Algebra.Category.ModuleCat.Presheaf
public import Mathlib.Algebra.Category.ModuleCat.ChangeOfRings
public import Mathlib.CategoryTheory.Limits.Pre... |
2,661 | lean_file_chunk | d89dcf92022e10711a19ce3d5852266cd228846c0f28b247ee7f07a4285befb6 | 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.Algebra.Category.ModuleCat.ChangeOfRings
public import Mathlib.Algebra.Category.ModuleCat.Presheaf
/-!
# Change of presheaf of rings
In this fil... |
4,062 | lean_file_chunk | 4e5ab724ff58357c505d47b1651b37d0ffdc6297e83670b4a99c5192a16fb33a | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Joel Riou
-/
module
public import Mathlib.Algebra.Category.ModuleCat.Presheaf
public import Mathlib.Algebra.Category.ModuleCat.Adjunctions
/-!
# The free presheaf of ... |
16,355 | lean_file_chunk | 830fbd40604902a3a17c6f83838a1ed53b0da22415f559569687145367e4bdc1 | 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.Algebra.Category.ModuleCat.Presheaf
public import Mathlib.Algebra.Category.Ring.FilteredColimits
public import Mathlib.CategoryTheory.Filtered.Fin... |
18,623 | lean_file_chunk | f2bc2a15329729dab59025a843812a2a61661536b4a40c408d37ba100fdae3a5 | 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: Kevin Buzzard, Kim Morrison, Jakob von Raumer
-/
module
public import Mathlib.Algebra.Category.ModuleCat.Basic
public import Mathlib.LinearAlgebra.TensorProduct.Associator
public import... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.