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 |
|---|---|---|---|---|---|
5,610 | lean_file_chunk | 7b2d58a52cacd318033b5aac00f97365299c82416aadf08c77f0fd5694f40f7f | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Antoine Chambert-Loir, María Inés de Frutos-Fernández. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Antoine Chambert-Loir, María Inés de Frutos-Fernández
-/
module
public import Mathlib.Topology.Algebra.LinearTopology
public import Mathlib.Ring... |
3,013 | lean_file_chunk | fd324bdef9426a326a0e7bcb27a7bc4eae95f8c6ad5628188e016919f0eaa98d | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2023 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
module
public import Mathlib.Topology.Algebra.ConstMulAction
public import Mathlib.Topology.Maps.Proper.Basic
/-!
# Actions by proper maps
In this file we define ... |
2,090 | lean_file_chunk | bef71397c70c48862527d49fb3f184fabed3ce31f968d7136d62870cae8df76a | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Gregory Wickham. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gregory Wickham
-/
module
public import Mathlib.Topology.Algebra.GroupCompletion
public import Mathlib.Topology.Algebra.Module.LinearMap
/-!
# Completion of continuous (semi-)linear... |
1,236 | lean_file_chunk | 7e404a7167b2259904e9d893677ef1ad9fcee46c76cc2552640f01dddea5ffad | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Jiedong Jiang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jiedong Jiang
-/
module
public import Mathlib.FieldTheory.IntermediateField.Adjoin.Defs
public import Mathlib.Topology.Algebra.Field
/-!
# Continuous actions related to intermediate f... |
20,726 | lean_file_chunk | 9c6cd1c90f7da832475ea1e256f963112c246fce97f99d2d4d951d5487562b3e | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2022 Thomas Browning. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Thomas Browning, Nailin Guan
-/
module
public import Mathlib.Algebra.Group.Equiv.Basic
public import Mathlib.Algebra.Group.Prod
public import Mathlib.Topology.Algebra.Group.Defs
/-!... |
7,881 | lean_file_chunk | be551a81b0b00dc22b645ca63dcdca1bce6d26e6174c9bda0828e0f67e31e7ce | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2021 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot
-/
module
public import Mathlib.Algebra.Order.GroupWithZero.Canonical
public import Mathlib.Topology.Algebra.GroupWithZero
public import Mathlib.Topology.Order.OrderClo... |
12,315 | lean_file_chunk | 8ee9cdf8fe502cf5ae83b05246b8ba940b9663fcd990f6e160106f4ef3899392 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2022 Jireh Loreaux. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jireh Loreaux
-/
module
public import Mathlib.Algebra.Star.Subalgebra
public import Mathlib.Topology.Algebra.Algebra
public import Mathlib.Topology.Algebra.Star
/-!
# Topological star... |
11,375 | lean_file_chunk | 535464f1b49158a061b59688255b5be1c2756dff8272b8db0c2ec7dca0068819 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2022 Anatole Dedecker. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anatole Dedecker
-/
module
public import Mathlib.Topology.Algebra.UniformMulAction
public import Mathlib.Algebra.Module.Pi
public import Mathlib.Topology.UniformSpace.UniformConverg... |
7,751 | lean_file_chunk | 4156518023fe9550ed5d793c5d1adca12553e07b6cbc741a2e99f123d6e90ba2 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2021 Nicolò Cavalleri. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nicolò Cavalleri
-/
module
public import Mathlib.Topology.Separation.Hausdorff
public import Mathlib.Topology.Homeomorph.Lemmas
/-!
# Topological space structure on the opposite mo... |
1,371 | lean_file_chunk | 4c7ad0bb3ef7e4207047f78cc9792c401a3fbdc4cb7a45e9dee92b2734d4f0e0 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2021 María Inés de Frutos-Fernández. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: María Inés de Frutos-Fernández
-/
module
public import Mathlib.GroupTheory.MonoidLocalization.Basic
public import Mathlib.RingTheory.OreLocalization.Ring
public import... |
8,186 | lean_file_chunk | edbfb3555c1282fc74555f86a9c4585a8ec3bb7f169e64d4728344acdc301618 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Jireh Loreaux. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jireh Loreaux
-/
module
public import Mathlib.Algebra.Star.NonUnitalSubalgebra
public import Mathlib.Topology.Algebra.NonUnitalAlgebra
public import Mathlib.Topology.Algebra.Star
/-!
... |
692 | lean_file_chunk | 231784da054e4bc68b67d2e4a2d4b198e9fdffd77f05acfba44fbca1db43f837 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2023 Ruben Van de Velde. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Ruben Van de Velde
-/
module
public import Mathlib.Algebra.MvPolynomial.Eval
public import Mathlib.Topology.Algebra.Ring.Basic
/-!
# Multivariate polynomials and continuity
In t... |
17,032 | lean_file_chunk | 8b59aba82c9379c12dae441fb938e637894621ed9d5eb9c2d2b00548db6f1f28 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Attila Gáspár. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Attila Gáspár
-/
module
public import Mathlib.Analysis.Convex.Between
public import Mathlib.Analysis.Convex.Topology
public import Mathlib.Topology.Algebra.Group.AddTorsor
/-!
# Asymp... |
4,150 | lean_file_chunk | 4341afa9346488ad11fe31851e0bf8f8766bfa5a6b66e151fc38c5fa231b2584 | 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.RingTheory.Jacobson.Ideal
public import Mathlib.Topology.Algebra.GroupWithZero
public import Mathlib.Topology.Algebra.Nonarchimedean.AdicTopol... |
8,808 | lean_file_chunk | 8559949586778ae8b76b1332df3c1d76ceead2fd509bacbb1cd87a4d0fa6a9d3 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2021 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Kim Morrison
-/
module
public import Mathlib.Algebra.Field.Subfield.Defs
public import Mathlib.Algebra.GroupWithZero.Divisibility
public import Mathlib.Algebra.Order.G... |
1,730 | lean_file_chunk | 782aa3b7abe8046cb7445816f2c3c085ec5d594fb8be5ff6b5a0f94f275f148b | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2022 Anatole Dedecker. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anatole Dedecker
-/
module
public import Mathlib.Topology.Algebra.UniformConvergence
public import Mathlib.Topology.UniformSpace.Equicontinuity
/-!
# Algebra-related equicontinuity... |
9,173 | lean_file_chunk | eb9b20fa9a12de9a073c6c786cfbe332f42d093fa7325aebcb887f329d60c9d2 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2018 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Y. Lewis
-/
module
public import Mathlib.Algebra.Polynomial.AlgebraMap
public import Mathlib.Algebra.Polynomial.Inductions
public import Mathlib.Algebra.Polynomial.Splits
publ... |
4,680 | lean_file_chunk | 01f12eb9ab375e047f67211b88429456c46925fbe7ff4fb17eda2e0070630003 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2021 David Wärn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Wärn
-/
module
public import Mathlib.Topology.Separation.Hausdorff
/-!
# Idempotents in topological semigroups
This file provides a sufficient condition for a semigroup `M` to con... |
9,411 | lean_file_chunk | dd1f36688c35104d44334f1f5c7b55e24992d28ad30133432791a81127e4c0a5 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2022 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
module
public import Mathlib.Algebra.Module.Opposite
public import Mathlib.Topology.UniformSpace.Completion
public import Mathlib.Topology.Algebra.IsUniformGroup.D... |
5,053 | lean_file_chunk | bd4e18f4d3e016a75f5fb1844ec1864d98d072c12cf02c014aecf480d1633baf | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2020 Frédéric Dupuis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Frédéric Dupuis, Attila Gáspár
-/
module
public import Mathlib.LinearAlgebra.AffineSpace.AffineMap
public import Mathlib.LinearAlgebra.AffineSpace.Midpoint
public import Mathlib.Topo... |
23,984 | lean_file_chunk | 7119b273d79be8e62b005cdd24ef535f775bf65b2ae968ee0ce544d9b2613ef3 | 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, Antoine Chambert-Loir, María Inés de Frutos-Fernández
-/
module
public import Mathlib.Algebra.Algebra.Subalgebra.Lattice
public import Mathlib.Algebra.Algebra.Tower
public... |
1,260 | lean_file_chunk | a1af53d274949dc38085d61dbace79888a0d23a8b8f173d1b9a40f36997ec97f | lean_source_file | pkg_mathlib_source_file_chunks | [IsSemitopologicalSemiring A] [Algebra R A] (x : A) :
CompleteSpace (elemental R x) :=
isClosed_closure.completeSpace_coe
/-- The coercion from an elemental algebra to the full algebra is a `IsClosedEmbedding`. -/
theorem isClosedEmbedding_coe (x : A) : IsClosedEmbedding ((↑) : elemental R x → A) where
eq_indu... |
12,894 | lean_file_chunk | 8522a32f5acefddcda19d40f6749f4d54951ab66f2ef2e6e3963bf92f43f91a1 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Michael Rothgang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Michael Rothgang
-/
module
public import Mathlib.LinearAlgebra.AffineSpace.AffineEquiv
public import Mathlib.Topology.Algebra.Module.Equiv
public import Mathlib.Topology.Algebra.Con... |
18,134 | lean_file_chunk | 30d5cadb05b85e2a109b28fed407f9d5f186c3aacf37a097cb52b84a2ba3c08b | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Antoine Chambert-Loir, María Inés de Frutos-Fernández. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Antoine Chambert-Loir, María Inés de Frutos-Fernández, Anatole Dedecker
-/
module
public import Mathlib.RingTheory.TwoSidedIdeal.Operations
publ... |
19,478 | lean_file_chunk | 569e13d1c3be4fdd6e4e84ea2fddd292507c4f28ca8ebbacbfc6734a3b022b24 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2021 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-/
module
public import Mathlib.LinearAlgebra.AffineSpace.AffineMap
public import Mathlib.Topology.Algebra.Module.LinearMapPiProd
public import Mathlib.Topology.Algebra.Affin... |
16,502 | lean_file_chunk | ec659c812a6f459727c7b84999f72218509499b89850d92c09996e3d6366926a | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2021 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot
-/
module
public import Mathlib.Topology.Algebra.Module.Basic
/-!
# Group and ring filter bases
A `GroupFilterBasis` is a `FilterBasis` on a group with some propertie... |
8,119 | lean_file_chunk | 1e0968d529c23726afb8a9ee589b319298ffb216a4879108cc8ffe4af79b9810 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2019 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot
-/
module
public import Mathlib.RingTheory.SimpleRing.Basic
public import Mathlib.Topology.Algebra.Field
public import Mathlib.Topology.Algebra.UniformRing
/-!
# Compl... |
7,080 | lean_file_chunk | 1555c9e4dc8d69324c1c6939a7bd8310c582ec64a73800983c4d39fd9943ffe3 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Jireh Loreaux. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jireh Loreaux
-/
module
public import Mathlib.Algebra.Algebra.NonUnitalSubalgebra
public import Mathlib.Topology.Algebra.Module.Basic
/-!
# Non-unital topological (sub)algebras
A non... |
14,173 | lean_file_chunk | 37ce0e966653a07336519ec09532dc4945d16094c49dd141b395c13edfd5402a | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2021 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
module
public import Mathlib.Algebra.AddTorsor.Defs
public import Mathlib.GroupTheory.GroupAction.SubMulAction
public import Mathlib.Order.Filter.Pointwise
public ... |
15,104 | lean_file_chunk | db0b8c830a5adda3ac51924743916c26fe3cdc6b5c029556fd63c68a941084e2 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
module
public import Mathlib.Algebra.Group.Pi.Lemmas
public import Mathlib.Algebra.GroupWithZero.Units.Equiv
public import Mathlib.Topology.Algebra.Monoid
public i... |
8,187 | lean_file_chunk | 0dd80d61a81723c6e703301d19c1ff966448202386222833a263aa7fe8edc0a3 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Jeremy Avigad
-/
module
public import Mathlib.Order.SetNotation
public import Mathlib.Tactic.Continuity
public import Mathlib.Tactic.FunProp
public imp... |
14,774 | lean_file_chunk | be8185950083603e372311d3233dfb043435c6acc844b06b689f9532b384cfd3 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Jeremy Avigad
-/
module
public import Mathlib.Topology.Defs.Basic
public import Mathlib.Data.Setoid.Basic
public import Mathlib.Order.Filter.Defs
publi... |
948 | lean_file_chunk | 799b534a3016960825f91dc315a29ae3d8114882d8d4142fa0275b6d192b00f9 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Jeremy Avigad
-/
module
public import Mathlib.Data.Set.Lattice
public import Mathlib.Order.Filter.Ultrafilter.Defs
public import Mathlib.Topology.Defs.... |
3,995 | lean_file_chunk | e295c8f6c2a4b22f01d051600342a0b052a4ecf921578d160d20690cb2937483 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2018 Jan-David Salchow. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jan-David Salchow, Patrick Massot, Yury Kudryashov
-/
module
public import Mathlib.Order.Filter.AtTopBot.Defs
public import Mathlib.Topology.Defs.Filter
/-!
# Sequences in topolog... |
5,943 | lean_file_chunk | 7090b25d39ce1476c64a7d29210ed7947111831c383a44fa1302d867c331eb31 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Jeremy Avigad
-/
module
public import Mathlib.Data.Set.Lattice.Image
public import Mathlib.Topology.Basic
/-!
# Induced and coinduced topologies
In th... |
3,194 | lean_file_chunk | cfc50fb4f9a398716b3bbc6841d90cf5451a4fa17d2b3c7ce74c7db6ccb47ad4 | 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.CategoryTheory.Sites.Point.Conservative
public import Mathlib.Topology.Sheaves.Sheaf
public import Mathlib.Topology.Sets.Opens
/-!
# The standard... |
23,989 | lean_file_chunk | 5fc4218de936de44a2e634979d6c6273fea44a11863bc5deff2a8e9f7a9b68b6 | 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, Justus Springer
-/
module
public import Mathlib.Topology.Category.TopCat.OpenNhds
public import Mathlib.Topology.Sheaves.SheafCondition.UniqueGluing
public import Mathlib.... |
6,800 | lean_file_chunk | 1facecb3b9788a70cfae487a34e400f6525381e251de6133af4406580b4c4b7c | lean_source_file | pkg_mathlib_source_file_chunks | op c))
x⟩
include instCC in
theorem stalk_mono_of_mono {F G : Sheaf C X} (f : F ⟶ G) [Mono f] :
∀ x, Mono <| (stalkFunctor C x).map f.1 :=
fun x => Functor.map_mono (Sheaf.forget.{v} C X ⋙ stalkFunctor C x) f
include instCC in
theorem mono_of_stalk_mono {F G : Sheaf C X} (f : F ⟶ G) [∀ x, Mono <| (stalk... |
2,212 | lean_file_chunk | d8965e9e18482b15bad6fa614eba127f4ad5c2507029bc43dbf27066f8d326a1 | 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.Topology.Sheaves.Sheaf
/-!
# Checking the sheaf condition on the underlying presheaf of types.
If `G : C ⥤ D` is a functor which reflects ... |
4,911 | lean_file_chunk | 5e31302b09be00b22c74fd849bdb7c3dac9c691967b3fe61f64e723bb1c48e55 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2022 Sam van Gool and Jake Levinson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sam van Gool, Jake Levinson
-/
module
public import Mathlib.Topology.Sheaves.Presheaf
public import Mathlib.Topology.Sheaves.Stalks
public import Mathlib.CategoryTheor... |
3,882 | lean_file_chunk | 22dcf6db311e81c1198e2a9789bf53e76a380dd33bb21f22b3e0b1ee58ecbbe7 | 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
-/
module
public import Mathlib.Topology.Sheaves.PresheafOfFunctions
public import Mathlib.Topology.Sheaves.SheafCondition.UniqueGluing
/-!
# Sheaf conditi... |
2,112 | lean_file_chunk | 1619abd8601117c1516f6976c1bc7125b87f716105bfee1054a6d3f6e62324b7 | 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.Topology.Sheaves.SheafCondition.Sites
/-!
# Presheaves on `PUnit`
Presheaves on `PUnit` satisfy sheaf condition iff its value at empty set... |
4,054 | lean_file_chunk | 2ec61fc8cfb36ce9eabfe7aadb74796296dd40c3e7305817a535e64be1c8bda3 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2026 Brian Nugent. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Brian Nugent
-/
module
public import Mathlib.Algebra.Category.Grp.AB
public import Mathlib.CategoryTheory.Abelian.GrothendieckAxioms.Sheaf
public import Mathlib.CategoryTheory.Functor.R... |
15,962 | lean_file_chunk | 96ad77d73e52a755a64a695dabf8968d90b08abbaafad11f43ec76aec6e29097 | 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, Mario Carneiro, Reid Barton, Andrew Yang
-/
module
public import Mathlib.Topology.Category.TopCat.Opens
public import Mathlib.CategoryTheory.Adjunction.Unique
public impor... |
536 | lean_file_chunk | 3da79208f01fda20b22632c696320810e06a47be23be66f34ef1e675ca63410c | 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.Init
public import Aesop
/-!
# Rule sets related to topological (pre)sheaves
This module defines the `Restrict` Aesop rule set. Aesop rule... |
5,172 | lean_file_chunk | 0282861f8e39376b4e7036e89bf242169e0b698c9d9ae4bc5d6a1ec9c92f2739 | 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.Topology.Sheaves.LocalPredicate
public import Mathlib.Topology.Sheaves.Stalks
public import Mathlib.Topology.Sheaves.Skyscraper
/-!
# Sheaf... |
1,811 | lean_file_chunk | 0d0a8b9ff9a9976e9f8dd8aa4ccc6d00340576b99c0072c1383115d8b3590544 | 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.Topology.Sets.Opens
public import Mathlib.CategoryTheory.Comma.Over.Basic
/-!
# Opens and Over categories
In this file, given a topological spac... |
5,652 | lean_file_chunk | 96057b1fe3bd5a60fb6d82e2ecb3fcdb311c80e940e5b3f6a8abd41428a47bd0 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2021 Junyan Xu. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Junyan Xu, Andrew Yang
-/
module
public import Mathlib.Topology.Sheaves.SheafCondition.Sites
public import Mathlib.CategoryTheory.Sites.Pullback
/-!
# functors between categories of sheav... |
14,209 | lean_file_chunk | 9d265891ed6e489ffb5542a2af22cc73dc894e0c0422555bc32a1e73eca5f91e | 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, Andrew Yang
-/
module
public import Mathlib.Algebra.Category.Ring.Colimits
public import Mathlib.Algebra.Category.Ring.Constructions
public import Mathlib.Algebra.Category... |
7,698 | lean_file_chunk | 0c9dff39018cddb78702ce8f0e84ec4b50bda5b3f8ea75fbabebe2fc89989633 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Adam Topaz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Justin Curry, Adam Topaz
-/
module
public import Mathlib.Combinatorics.Quiver.ReflQuiver
public import Mathlib.Topology.Order.UpperLowerSetTopology
public import Mathlib.Topology.Sheaves.... |
18,076 | lean_file_chunk | 7e4d371c943a9dbf7d42f447ca48586f2df0217e771ac07a9e31653516e47a28 | 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, Junyan Xu
-/
module
public import Mathlib.Topology.Sheaves.PUnit
public import Mathlib.Topology.Sheaves.Stalks
public import Mathlib.Topology.Sheaves.Functors
/-!
# Skysc... |
16,571 | lean_file_chunk | 444cb77a4018f814655865b419ef6b03acb3d3aae3c75b0743ad4a300194f97a | 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.Topology.Sheaves.SheafOfFunctions
public import Mathlib.Topology.Sheaves.Stalks
public import Mathlib.Topology.S... |
3,029 | lean_file_chunk | 147ab5c1b1c54c8645a9fdddc29c55190c3b70f101c3f8104523baf4535df9fc | 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.Topology.Sheaves.Presheaf
/-!
# Presheaves of functions
We construct some simple examples of presheaves of functions on a topological space... |
8,659 | lean_file_chunk | 19edb67823695a6eb922f43ca707244cffbc9977826fad59f63bb1728a96e06e | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2026 Brian Nugent. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Brian Nugent
-/
module
public import Mathlib.CategoryTheory.Sites.EpiMono
public import Mathlib.Topology.Sheaves.AddCommGrpCat
public import Mathlib.Topology.Sheaves.LocallySurjective
... |
6,552 | lean_file_chunk | 23a51e4b474d00fe775c20e02a5d73ed257e51a721a8646c6702d9d9685811c4 | 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.Topology.Sheaves.Presheaf
public import Mathlib.CategoryTheory.Sites.Sheaf
public import Mathlib.CategoryTheory.Sites.Spaces
/-!
# Sheaves
... |
2,261 | lean_file_chunk | 406e6fcb8268b24897d0e999254f11ab608ca8160fdb6884e3c36324729f7ccb | 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.Topology.Sheaves.Sheaf
public import Mathlib.CategoryTheory.Sites.Limits
public import Mathlib.CategoryTheory.Limits.FunctorCategory.Basic
... |
1,702 | lean_file_chunk | 39aed852f19220fa9ccbb616caf6b4a8a821b0c6a9a1b0533f369edbf833e905 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2026 Brian Nugent. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Brian Nugent
-/
module
public import Mathlib.Topology.Sheaves.Abelian
/-!
# Sheaves of abelian groups.
Results for sheaves of abelian groups on topological spaces.
-/
@[expose] pub... |
1,973 | lean_file_chunk | 71456f67b7579a8e6fdd77fef72adaf42ba0eeb99f8ba8bf6c533d8e00c0b377 | 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.Sites.MayerVietorisSquare
public import Mathlib.CategoryTheory.Sites.Spaces
/-!
# Mayer-Vietoris squares
Given two open subsets `... |
2,316 | lean_file_chunk | d92cb42ba59dd381e1f836eb746dfeadc205ce784b52b1fca8ad0054df08e9a8 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Anatole Dedecker. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anatole Dedecker, Etienne Marion
-/
module
public import Mathlib.Topology.Compactness.CompactlyCoherentSpace
public import Mathlib.Topology.Maps.Proper.Basic
/-!
# A map is proper ... |
17,483 | lean_file_chunk | 5123e45a71862c812e4443575f68166f067fbe84259542fe40ae7c0a9395f17e | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2023 Anatole Dedecker. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anatole Dedecker, Etienne Marion
-/
module
public import Mathlib.Topology.Homeomorph.Lemmas
/-!
# Proper maps between topological spaces
This file develops the basic theory of pro... |
5,613 | lean_file_chunk | 6e1f9bd923502e291b13c14fee76121692df953966cf4c029ef62e2195a2a1b9 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2023 Anatole Dedecker. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anatole Dedecker, Etienne Marion
-/
module
public import Mathlib.Topology.Compactification.StoneCech
public import Mathlib.Topology.Filter
public import Mathlib.Topology.Maps.Proper... |
4,324 | lean_file_chunk | 8b82060462b5d6f07e129e1954228b21a0b160ff6e0dac00bec4c28eee25df59 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2026 Ziyan Wei. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Ziyan Wei
-/
module
public import Mathlib.Topology.Maps.Basic
public import Mathlib.Topology.Homeomorph.Lemmas
public import Mathlib.Topology.Constructions
public import Mathlib.Data.Setoi... |
10,794 | lean_file_chunk | f283568732fe5d02bd8f46d8271333bbf981be300fc54965f8845df26ea35f1a | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2022 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies
-/
module
public import Mathlib.Order.Hom.Bounded
public import Mathlib.Topology.Order.Hom.Basic
/-!
# Esakia morphisms
This file defines pseudo-epimorphisms and Esakia m... |
5,489 | lean_file_chunk | 44a6f2e521b1fdaaba1f35c926c0aac0067a92ecb29d0abe5fbfa3795d7d43b6 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2022 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies
-/
module
public import Mathlib.Topology.Continuous
public import Mathlib.Topology.ContinuousMap.Defs
/-!
# Continuous order homomorphisms
This file defines continuous or... |
4,106 | lean_file_chunk | b0ab060eed6919d2c1d73a9b42fa3e5821f120c401a1510b6a5daa4f7a3d1cdc | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2023 Anne Baanen, Sam van Gool, Leo Mayer, Brendan Murphy. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen, Sam van Gool, Leo Mayer, Brendan Murphy
-/
module
public import Mathlib.Topology.Category.Locale
/-!
# Adjunction between Locales a... |
2,876 | lean_file_chunk | 45900ff48d0487688aa23ccf59d51c4cd7d153d831a6316639d67c8aa7157300 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2023 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies
-/
module
public import Mathlib.Topology.Specialization
/-!
# Category of Alexandrov-discrete topological spaces
This defines `AlexDisc`, the category of Alexandrov-discr... |
2,759 | lean_file_chunk | 6a0d45b351801eda952754af0ee16c1efcb11b1145a3b3ff8f3084841c5ae254 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Elliot Dean Young and Jiazhen Xia. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jiazhen Xia, Elliot Dean Young, Joël Riou
-/
module
public import Mathlib.Topology.Category.TopCat.Limits.Basic
public import Mathlib.Topology.Category.TopCat.Spher... |
18,263 | lean_file_chunk | 471bc120c5f0f2b63dee8f496f89406f42de1a93a06f452f8c7417f877d8cf43 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Floris van Doorn and Hannah Scholz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Hannah Scholz
-/
module
public import Mathlib.Topology.CWComplex.Classical.Basic
/-!
# Finiteness notions on CW complexes
In this file we defin... |
2,822 | lean_file_chunk | ffdb19f9eafacf29764f4b6001d3f7837cff1683848364fd9d24513a47220fc7 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2026 Jun Kwon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jun Kwon
-/
module
public import Mathlib.Topology.CWComplex.Classical.Finite
public import Mathlib.Combinatorics.Graph.Basic
/-!
# 1-skeletons of CW complexes as graphs
In this file we de... |
6,932 | lean_file_chunk | 8b447fb1dbe8e54ba3345fc5d24e6c49a3fd9da7e265b61b125110bf928333ac | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Floris van Doorn and Hannah Scholz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Hannah Scholz
-/
module
public import Mathlib.Topology.CWComplex.Classical.Finite
public import Mathlib.Analysis.Normed.Module.RCLike.Real
/-!
#... |
23,914 | lean_file_chunk | 97d4c989c0906316753ae9165628afbec337da40d56f9900ad8bfd3acb9fac80 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Floris van Doorn and Hannah Scholz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Hannah Scholz
-/
module
public import Mathlib.Analysis.Normed.Module.RCLike.Real
public import Mathlib.Data.ENat.Basic
public import Mathlib.Logi... |
23,924 | lean_file_chunk | 1784ca313b30f9281e13ff4afd0c2317ca8b851f3894342eaaff8af2e99041a4 | lean_source_file | pkg_mathlib_source_file_chunks | /-- If for all `m ≤ n` and every `i : cell C m` the intersection `A ∩ closedCell m j` is closed
and `A ∩ D` is closed then `A ∩ cellFrontier (n + 1) j` is closed for every
`j : cell C (n + 1)`. -/
lemma RelCWComplex.isClosed_inter_cellFrontier_succ_of_le_isClosed_inter_closedCell
[RelCWComplex C D] [T2Space X] {A :... |
176 | lean_file_chunk | d4c3739ce34175d687c0aba158afe121a011abcb0931d9dd048df0329b24b8f9 | lean_source_file | pkg_mathlib_source_file_chunks | disjoint_skeleton_openCell skeletonLT_inter_closedCell_eq_skeletonLT_inter_cellFrontier
skeleton_inter_closedCell_eq_skeleton_inter_cellFrontier)
end CWComplex
end Topology |
1,152 | lean_file_chunk | c1a364c5798a3c47ddc11ead9db0f823699ab011d8efd761672b1d577e0c8195 | 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.Topology.Category.CompHausLike.EffectiveEpi
public import Mathlib.Topology.Category.LightProfinite.Limits
/-!
# Effective epimorphi... |
2,307 | lean_file_chunk | a10fece6ce7715ec691bd6692e18e1aed80cb401be588723522b010a35d94ff5 | 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.Topology.Compactification.OnePoint.Basic
public import Mathlib.Topology.Category.LightProfinite.Basic
/-!
# The light profinite set... |
16,026 | lean_file_chunk | c6109c263123283a7b1c0a9515b76c8f22a98911e2df08de7a2741a7deb625cf | 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.CategoryTheory.Limits.Shapes.Countable
public import Mathlib.Topology.Category.Profinite.AsLimit
public import Mathlib.Topology.Cate... |
671 | lean_file_chunk | 2baaa61334d1cfee35e746a32a804a801ef98ebbdb97f8b190369670a68e0140 | 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
-/
module
public import Mathlib.Topology.Category.CompHausLike.Cartesian
public import Mathlib.Topology.Category.LightProfinite.Basic
/-!
# Cartesian monoidal stru... |
10,007 | lean_file_chunk | 274a73280d0b471c9ca30a30073d9d5facf864dbd646428d6abd5e0d3cf5e30c | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Lenny Taelman. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Lenny Taelman
-/
module
public import Mathlib.CategoryTheory.Preadditive.Injective.Basic
public import Mathlib.Topology.Category.LightProfinite.AsLimit
public import Mathlib.Topology.C... |
2,013 | lean_file_chunk | 92acad2c1499aa08e230eadec55c8892c3c03a1ef6210e64e9ab3c78c8917dbd | 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.Topology.Category.CompHausLike.Limits
public import Mathlib.Topology.Category.LightProfinite.Basic
/-!
# Explicit limits and colimi... |
7,546 | lean_file_chunk | 57b1d3636fc42d0191c92843328ee846a7518206be075d5e4bef1bf25a030ade | 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.Topology.Category.LightProfinite.AsLimit
public import Mathlib.Topology.Category.Profinite.Extend
/-!
# Extending cones in `LightP... |
5,012 | lean_file_chunk | f4b2dbeb447b420f43b87e889953afa1f5300f40da284321444ed3d0fc88b67d | 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.Topology.Category.LightProfinite.Basic
/-!
# Light profinite sets as limits of finite sets.
We show that any light profinite set is... |
2,777 | lean_file_chunk | 65ffcb9aecf5b033a1520f2e412da19c086822a926fd4a21051d5815f80c1f98 | 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.CategoryTheory.Limits.Preserves.Finite
public import Mathlib.CategoryTheory.Limits.Shapes.Opposites.Products
public import Mathlib.C... |
1,279 | lean_file_chunk | 5b5a8ae8a0deebb4620230eebcc2ec3b72c07d4fc4c88dd635b72a23acb4d020 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2019 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton
-/
module
public import Mathlib.Topology.Category.TopCat.Adjunctions
public import Mathlib.CategoryTheory.Functor.EpiMono
/-!
# Epi- and monomorphisms in `Top`
This file sh... |
15,573 | lean_file_chunk | 9e446069bf5de8f83ac8ec915a56115dd99c82c8451edb94bc61aa223486ecd2 | 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.CategoryTheory.Category.GaloisConnection
public import Mathlib.CategoryTheory.EqToHom
public import Mathlib.Topology.Category.TopCat.EpiMono... |
5,162 | lean_file_chunk | 992c2bbf6251079c90612f872422fbd00d68c71928609b679219b66f65e0bfdf | 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.Topology.Category.TopCat.Limits.Products
public import Mathlib.Topology.UnitInterval
public import Mathlib.CategoryTheory.Monoidal.Cartesian.Basic... |
2,697 | lean_file_chunk | b39af34f3f19709403846365ff652e9a4e3d611c5ce36e5d5280ea6d168a61df | 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.CategoryTheory.Limits.Shapes.RegularMono
public import Mathlib.Topology.Category.TopCat.Limits.Pullbacks
/-!
# Effective epimorphis... |
8,393 | lean_file_chunk | fe6385d2b6869f7be6f9c4ff75bbc5244483698fcf09da25ca7363932b8a5c0d | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2017 Kim Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Kim Morrison, Mario Carneiro
-/
module
public import Mathlib.CategoryTheory.ConcreteCategory.Forget
public import Mathlib.CategoryTheory.Elementwise
public import Mathli... |
3,824 | lean_file_chunk | 340bd323afbe46bc9012a3dbe7e4838f9a4baeb66953a7c8da296db7a21a536f | 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.Topology.Category.TopCat.Limits.Basic
public import Mathlib.Topology.Homeomorph.Lemmas
public import Mathlib.CategoryTheory.Limits.Preserves.Ulift... |
5,633 | lean_file_chunk | 6e19958c8edfbb979207ffc182cd0d8daa1ab1e4da64337588b7f7440fc18978 | 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: Edward van de Meent, Christian Merten
-/
module
public import Mathlib.CategoryTheory.Sites.Canonical
public import Mathlib.CategoryTheory.Sites.Continuous
public import Mathlib.Cate... |
6,899 | lean_file_chunk | b6a77bb61487db3cda44c7e483e5e89cc84888d9fcc89e4ed83623a16dc4ba30 | 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.Topology.Category.TopCat.Opens
public import Mathlib.Data.Set.Subsingleton
/-!
# The category of open neighborhoods of a point
Given an ob... |
3,029 | lean_file_chunk | b5f3708023a37217451602cf3d2497971d6d8b4f3f5342ae3307716804ffe156 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Elliot Dean Young and Jiazhen Xia. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jiazhen Xia, Elliot Dean Young
-/
module
public import Mathlib.Analysis.InnerProductSpace.PiL2
public import Mathlib.Topology.Category.TopCat.EpiMono
/-!
# Euclide... |
1,366 | lean_file_chunk | 98ea5084863bbcecc19ccc8007d1e162774986fdea0f33558fb2e40fe000795a | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2017 Kim Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Mario Carneiro
-/
module
public import Mathlib.Topology.Category.TopCat.Basic
public import Mathlib.CategoryTheory.Adjunction.Basic
/-!
# Adjunctions regarding the cate... |
2,847 | lean_file_chunk | c7ae41cf1f35f0f248e4dbad16f2342258dbdee45319ae7817e9d3255d6a62b8 | 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.CategoryTheory.Limits.Shapes.Opposites.Products
public import Mathlib.Topology.Category.CompHausLike.Limits
/-!
# The sigma-compari... |
2,777 | lean_file_chunk | cc7256b81d8aad6817766aebe4f9d926173b04eb00836b3f1fb5068579882dba | 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: Adam Topaz, Dagur Asgeirsson
-/
module
public import Mathlib.CategoryTheory.Sites.Coherent.Comparison
public import Mathlib.Topology.Category.CompHausLike.Limits
/-!
# Effective ep... |
10,287 | lean_file_chunk | d35cef0150b2b2fa447414c642e26585a9444a23197960a71ff6a39343e7be6a | 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: Adam Topaz, Dagur Asgeirsson, Filippo A. E. Nuccio, Riccardo Brasca
-/
module
public import Mathlib.Topology.Category.TopCat.Basic
public import Mathlib.CategoryTheory.Functor.EpiMo... |
3,110 | lean_file_chunk | 1886ffdc8b677ee511263aa9144bace2893187ef768ee6a8bcacbfd6a86fb9a0 | 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
-/
module
public import Mathlib.CategoryTheory.Monoidal.Cartesian.Basic
public import Mathlib.Topology.Category.CompHausLike.Limits
/-!
# Cartesian monoidal struct... |
14,414 | lean_file_chunk | 2eae971e8cab6e85e9fae75e5d71f03d0f611b2623ec79507ab3461552f6b241 | 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: Adam Topaz, Dagur Asgeirsson, Filippo A. E. Nuccio, Riccardo Brasca
-/
module
public import Mathlib.CategoryTheory.Extensive
public import Mathlib.CategoryTheory.Limits.Preserves.Fi... |
9,496 | lean_file_chunk | 733350371ec9e260122e89beab5a57b1ff63589e92ae34a50b1e34c8c188572d | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2021 Adam Topaz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Topaz
-/
module
public import Mathlib.Topology.Category.Profinite.Basic
public import Mathlib.Topology.LocallyConstant.Basic
public import Mathlib.Topology.DiscreteQuotient
public im... |
3,495 | lean_file_chunk | cf10b9897ba274428a3e7f38e54f1cf815969bd7bd39aad7760950ee3e5eef12 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2023 Jon Eugster. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Dagur Asgeirsson, Boris Bolvig Kjær, Jon Eugster, Sina Hazratpour
-/
module
public import Mathlib.CategoryTheory.Sites.Coherent.ReflectsPreregular
public import Mathlib.Topology.Category... |
5,871 | lean_file_chunk | 61b913a0e6a19b6ad40a8dd16abafccc45bf524936aaf84a1f37478c0499f8a6 | 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.Topology.Category.Profinite.Basic
/-!
# Compact subsets of products as limits in `Profinite`
This file exhibits a compact subset `... |
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