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 |
|---|---|---|---|---|---|
2,982 | lean_file_chunk | 7be26719f60facde461a134b999a75b1a5a8463713c9d71bfb18e35037a8bfe0 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
module
public import Mathlib.Data.Prod.Basic
public import Mathlib.Logic.Function.Basic
public import Mathlib.Logic.Nontrivial.Defs
public import Mathlib.Logic... |
4,795 | lean_file_chunk | 8c96c25d4c16120e5075351b7a1c2f1515b608818162656465e31f5163fe301d | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
module
public import Mathlib.Tactic.Push.Attr
/-!
# Nontrivial types
A type is *nontrivial* if it contains at least two elements. This is useful in particula... |
12,586 | lean_file_chunk | 06d24c0788a5d339537832d4e9a299bab627d66e73d18ad44db2a04535068339 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Mario Carneiro
-/
module
public import Mathlib.Data.Option.Defs
public import Mathlib.Data.Sigma.Basic
public import Mathlib.Logic.Equiv.Prod
public import M... |
7,740 | lean_file_chunk | ffedc4d6bbf63cd69533d74572604308797a0700644b5f28e71c6eccc92021c6 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2021 Yakov Pechersky. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yakov Pechersky
-/
module
public import Mathlib.Data.Fintype.EquivFin
public import Mathlib.Data.Fintype.Inv
/-! # Equivalence between fintypes
This file contains some basic result... |
23,989 | lean_file_chunk | e9aef40c0a78a733c34997885ea221dbaa2a9d3178ec65fd8f004dd61a8eeb89 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
module
public import Mathlib.Data.Set.Piecewise
public import Mathlib.Logic.Equiv.Defs
public import Mathlib.Tactic.Core
public import Mathlib.Tactic.Attr.Core... |
15,077 | lean_file_chunk | 393bf6e689610bffe9fdaeaff3fd6431a33b5a58fef13d87d576ed185c64d115 | lean_source_file | pkg_mathlib_source_file_chunks | PartialEquiv.ext (fun _ => rfl) (fun _ => rfl)
(by simp [trans_source, @preimage_comp α β γ, inter_assoc])
@[simp, mfld_simps]
theorem trans_refl : e.trans (PartialEquiv.refl β) = e :=
PartialEquiv.ext (fun _ => rfl) (fun _ => rfl) (by simp [trans_source])
@[simp, mfld_simps]
theorem refl_trans : (PartialEquiv.... |
9,376 | lean_file_chunk | dbd1a208dab4269ee2b076d53240c643fd20099361be3f44bd9569fd9f896524 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2021 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-/
module
public import Mathlib.Control.EquivFunctor
public import Mathlib.Data.Option.Basic
public import Mathlib.Data.Subtype
public import Mathlib.Logic.Equiv.Defs
/-!
# ... |
779 | lean_file_chunk | a7cdf46f59e2867db04bf5a166b1ade1e7d6037953760b1657c673340ca2db60 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Myers
-/
module
public import Mathlib.Data.FunLike.Equiv
public import Mathlib.Logic.Pairwise
/-!
# Interaction of equivalences with `Pairwise`
-/
public section
open scoped F... |
5,905 | lean_file_chunk | 218e81646dfdffe5a0650c1955bcede956d979edf7dc35470b298e11e2c48440 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
module
public import Mathlib.Logic.Denumerable
/-!
# Equivalences involving `List`-like types
This file defines some additional constructive equivalences using `En... |
18,394 | lean_file_chunk | 54945de8ec51e434886d49168b49330f1154b50d662118eee22f01eb08dafb62 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Mario Carneiro
-/
module
public import Mathlib.Logic.Equiv.Defs
public import Mathlib.Tactic.Contrapose
/-!
# Equivalence between product types
In this fil... |
1,526 | lean_file_chunk | e4f9b6350827cd02c96e5d0919743d63b806ce17e59f83c1d5ba2940d4b64ce8 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
module
public import Mathlib.Data.Nat.Bits
public import Mathlib.Data.Nat.Pairing
/-!
# Equivalences involving `ℕ`
This file defines some additional constructive e... |
4,305 | lean_file_chunk | 26e96615726e1bcef0aa02e31caf153dc35a232a6bc88ca187a9434b46dac3e0 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
module
public import Mathlib.Data.Finset.Sort
public import Mathlib.Logic.Equiv.Multiset
/-!
# `Encodable` and `Denumerable` instances for `Finset`
-/
@[expose] pu... |
23,960 | lean_file_chunk | c94fc13cef706351555990c6d43aea8218bea8d5393ffdb6de6f2e564b18c6e0 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Mario Carneiro
-/
module
public import Mathlib.Logic.Equiv.Option
public import Mathlib.Logic.Equiv.Sum
public import Mathlib.Logic.Function.Conjugate
public... |
17,214 | lean_file_chunk | 9f626aeec0a6e314047f1c16fbc4c8fa83d6251cb23e06b19d7d059f34c2ba4b | lean_source_file | pkg_mathlib_source_file_chunks | (h : ∀ x y : Subtype p₁, s₂ x y ↔ (x : α) ≈ y)
(x hx) : subtypeQuotientEquivQuotientSubtype p₁ p₂ hp₂ h ⟨⟦x⟧, hx⟩ = ⟦⟨x, (hp₂ _).2 hx⟩⟧ :=
rfl
@[simp]
theorem subtypeQuotientEquivQuotientSubtype_symm_mk (p₁ : α → Prop)
[s₁ : Setoid α] [s₂ : Setoid (Subtype p₁)] (p₂ : Quotient s₁ → Prop) (hp₂ : ∀ a, p₁ a ↔ p₂... |
3,425 | lean_file_chunk | e380a1e5193832898ed6aadbc5c12a8861ddb4d561d060de367d4854188397ad | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
module
public import Mathlib.Data.Multiset.Sort
public import Mathlib.Logic.Equiv.List
/-!
# `Encodable` and `Denumerable` instances for `Multiset`
-/
@[expose] pu... |
23,997 | lean_file_chunk | 84cff46c141a07b88fdacbb92508ab057b6e1a9232071e3b787d70ae8c743757 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Mario Carneiro
-/
module
public import Mathlib.Data.FunLike.Equiv
public import Mathlib.Data.Quot
public import Mathlib.Data.Subtype
public import Mathlib.Lo... |
14,275 | lean_file_chunk | 2d209134473bb2c40b83ffc7dbc947fd7d78b97930f88661203aa87312d5c743 | lean_source_file | pkg_mathlib_source_file_chunks | `Σ' a, β₂ a`. -/
@[simps (attr := grind =) apply]
def psigmaCongrRight {β₁ β₂ : α → Sort*} (F : ∀ a, β₁ a ≃ β₂ a) : (Σ' a, β₁ a) ≃ Σ' a, β₂ a where
toFun a := ⟨a.1, F a.1 a.2⟩
invFun a := ⟨a.1, (F a.1).symm a.2⟩
left_inv := by grind
right_inv := by grind
theorem psigmaCongrRight_trans {α} {β₁ β₂ β₃ : α → Sort*... |
23,949 | lean_file_chunk | 2df87bc01678596deedea912431ae6ec64802497de28c48f334962a421e769f7 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Mario Carneiro
-/
module
public import Mathlib.Data.Set.Function
public import Mathlib.Logic.Equiv.Defs
/-!
# Equivalences and sets
In this file we provide... |
1,383 | lean_file_chunk | 5db33cd4d7691b25fbe908c78dcb74ca1be274f703f0880efcbda183b8855047 | lean_source_file | pkg_mathlib_source_file_chunks | theorem ofPreimageEquiv_map {α β γ} {f : α → γ} {g : β → γ} (e : ∀ c, f ⁻¹' {c} ≃ g ⁻¹' {c})
(a : α) : g (ofPreimageEquiv e a) = f a :=
Equiv.ofFiberEquiv_map e a
end Equiv
/-- If a function is a bijection between two sets `s` and `t`, then it induces an
equivalence between the types `↥s` and `↥t`. -/
noncomput... |
2,175 | lean_file_chunk | 2dc8251b7956c871e7933159a65a0b21793d3a0619eecdcbd2a0008359ae0695 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2019 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Simon Hudon, Kim Morrison
-/
module
public import Mathlib.Control.Bifunctor
public import Mathlib.Logic.Equiv.Defs
/-!
# Functor and bifunctors can be applied to `Equ... |
3,385 | lean_file_chunk | b8267a56b07dc3dad62fff37a8464af8f8c56a32184de675f24fd0a7e6b10ca0 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2021 Eric Rodriguez. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Rodriguez
-/
module
public import Mathlib.Logic.Embedding.Set
/-!
# Equivalences on embeddings
This file shows some advanced equivalences on embeddings, useful for constructing... |
1,105 | lean_file_chunk | bc61ad522aea1be8bb52107cb4ab34349b7df83ae06b058a1bc348e0da68c92e | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Emily Riehl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Emily Riehl, Wrenna Robson
-/
module
public import Mathlib.Logic.Equiv.Basic
public import Mathlib.Logic.Function.Basic
/-!
# Equivalences involving `Bool`
This file shows t... |
1,570 | lean_file_chunk | ab90cfa4b2f9e9474b47272e1cc9a91c890978f0dd7c765e372aee61e2242540 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
module
public import Mathlib.Logic.Equiv.List
/-!
# Equivalences involving `Array`
-/
@[expose] public section
namespace Equiv
/-- The natural equivalence betwe... |
16,317 | lean_file_chunk | 9f543e25c485193ebfbffedfb1a3302d97284cc7eec078839245dac8099677d6 | 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
-/
module
public import Mathlib.Data.Option.Basic
public import Mathlib.Data.Prod.Basic
public import Mathlib.Data.Prod.PProd
public import Mathlib.Data... |
5,688 | lean_file_chunk | 6d5891da9455486b32cee32936ac9410f6472e5c03a8386eff8cefb39bc38b65 | 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
-/
module
public import Mathlib.Data.Set.Notation
public import Mathlib.Order.SetNotation
public import Mathlib.Logic.Embedding.Basic
public import Math... |
7,980 | lean_file_chunk | 0026f594604ae14d81d01ee4cd9da6157707cd1f7249dfbc495aac34554dabda | 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.Logic.Function.Conjugate
public import Mathlib.Data.Nat.Notation
/-!
# Iterations of a function
In this file we prove simple propert... |
7,395 | lean_file_chunk | d6f35ef02dcd5089dd2397903ba3ed37ed4cba3ada23290bd4f309f3eb250103 | 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.Logic.Function.Basic
/-!
# Semiconjugate and commuting maps
We define the following predicates:
* `Function.Semiconj`: `f : α → β` ... |
2,733 | lean_file_chunk | b4a170628aa57e49a54f178e2df7045d8b0c5eaa32681d725ad8aa53c9f1417a | 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.Data.Set.Insert
/-!
This file defines the type `f.Fiber` of fibers of a function `f : Y → Z`, and provides some API
to work with an... |
3,729 | lean_file_chunk | 510a12fabc0fabb5860385271ce7a18378e075d0999f6f160bdf47c17fc8c330 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Etienne Marion. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Etienne Marion
-/
module
public import Mathlib.Data.Set.Restrict
public import Mathlib.Util.Delaborators
/-!
# Functions depending only on some variables
When dealing with a functio... |
3,331 | lean_file_chunk | bf9eb10e042663b8694d32d5ee06e4149bed6fac69898825b4a8289f98ae2545 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Brendan Murphy. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Brendan Murphy
-/
module
public import Mathlib.Data.Fin.VecNotation
/-! # Function types of a given heterogeneous arity
This provides `Function.FromTypes`, such that `FromTypes ![α,... |
23,914 | lean_file_chunk | 63caeb5e4030f3503339d9170aac9a402f36f9d2dd2fd87527c83c747b660110 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2016 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
module
public import Mathlib.Data.Set.Defs
public import Mathlib.Logic.Basic
public import Mathlib.Logic.Function.Defs
public import Mathlib.Logic.Ex... |
21,558 | lean_file_chunk | 7f2399edc1f0795074f33cb15208ca4637188f9721210795e5cea13e6abddff9 | lean_source_file | pkg_mathlib_source_file_chunks | theorem update_comp_eq_of_injective' (g : ∀ a, β a) {f : α' → α} (hf : Function.Injective f)
(i : α') (a : β (f i)) : (fun j ↦ update g (f i) a (f j)) = update (fun i ↦ g (f i)) i a :=
eq_update_iff.2 ⟨update_self .., fun _ hj ↦ update_of_ne (hf.ne hj) _ _⟩
theorem update_apply_of_injective
(g : ∀ a, β a) {f... |
748 | lean_file_chunk | de85a4ef26b1753215987051326236d8bdf2ff6afbf8ce6f919a7d1cbe63a085 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2016 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
module
public import Mathlib.Init
/-!
# `ULift` and `PLift`
-/
public section
theorem ULift.down_injective {α : Type*} : Function.Injective (@ULif... |
3,058 | lean_file_chunk | 6f2007b91d619c3326529d4c5c7cc5981ea4544ad229f016226971026b6bf453 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Jeremy Avigad, Haitao Zhang
-/
module
public import Mathlib.Init
import Mathlib.Tactic.Attr.Register
/-!
# General operations on functions
-/
@[expose] pu... |
2,284 | lean_file_chunk | d82264894cfaaf5a3f1bfd712c81d4f57986341bccbf739e05a628fdf265421e | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
module
public import Mathlib.Logic.Function.FromTypes
/-! # Function types of a given arity
This provides `Function.OfArity`, such that `OfArity α β 2 = α → α → β`... |
1,777 | lean_file_chunk | bf791a8d756783160fed4b0f211954dac7dc9dcc705ff70d905b1254ccf726d0 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Christian Merten. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Christian Merten
-/
module
public import Mathlib.Init
/-!
# Coequalizer of a pair of functions
The coequalizer of two functions `f g : α → β` is the pair (`μ`, `p : β → μ`) that
s... |
1,898 | lean_file_chunk | 26e0b09396cf712094ca2aa2aaa54a98ac323a2fb9a2a753e82e3ce945ffd3fe | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Antoine Chambert-Loir. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Antoine Chambert-Loir
-/
module
public import Mathlib.Init
/-!
# Propositional typeclasses on several maps
This file contains typeclasses that are used in the definition of
e... |
2,772 | lean_file_chunk | be07a80bac407b8ba7f7ccad2f5f1a8b6f2ea8fd4fc7b559bf1a39d0a8f8faa5 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
module
public import Mathlib.Data.Vector.Basic
public import Mathlib.Logic.Equiv.Finset
/-!
# Encodability of Pi types
This file provides instances of `Encodable` ... |
20,608 | lean_file_chunk | 693340580a7a87b17df52d71753d9456c6a30ccd567670c00757fdf23df3ed99 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Mario Carneiro
-/
module
public import Mathlib.Data.Countable.Defs
public import Mathlib.Data.Fin.Basic
public import Mathlib.Data.Nat.Find
public import Mat... |
1,725 | lean_file_chunk | 5290ad0b7b80c91dbb8ffc016e63d3d1ee4383befdb00f580c7c200a38cf39dc | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2020 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
module
public import Mathlib.Logic.Encodable.Basic
public import Mathlib.Logic.Pairwise
public import Mathlib.Data.Set.Subsingleton
/-!
# Lattice operations on ... |
885 | lean_file_chunk | 4a412e0b3812c250b707bcee8060a807db5a5ffa5881ee879c6c78a51007cce1 | 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.Logic.Small.Basic
public import Mathlib.Data.Vector.Basic
/-!
# Instances for `Small (List α)` and `Small (Vector α)`.
These must not be i... |
3,085 | lean_file_chunk | 8d04d3a7e603429dbe33fd09e5d336fd316338616a3ada74742a49476cde31ab | 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.Logic.Small.Defs
public import Mathlib.Logic.Equiv.Set
/-!
# Instances and theorems for `Small`.
In particular we prove `small_of_injectiv... |
4,490 | lean_file_chunk | b225592aec995100cc1c3991d3e5b401245ee7328285f0f3c22a743fb8d16eec | 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.Logic.Equiv.Defs
public import Mathlib.Tactic.MkIffOfInductiveProp
public import Mathlib.Tactic.PPWithUniv
/-!
# Small types
A type is `w`... |
4,282 | lean_file_chunk | f9e5e6a8d13a55173b86767ad1ff7c1c9a7a4e7d6b5a4767dd3065bd698ec82d | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel, Timothy Carlin-Burns
-/
module
public import Mathlib.Data.Set.Lattice
public import Mathlib.Logic.Small.Basic
/-!
# Results about `Small` on coerced sets
-/
@[expose] ... |
4,855 | lean_file_chunk | 468f912ce25ed1397816183f85cba5a6ba303a9a038cceaced19c56aec802e3b | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2023 Shogo Saito. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Shogo Saito. Adapted for mathlib by Hunter Monroe
-/
module
public import Mathlib.Data.Nat.ModEq
public import Mathlib.Data.Nat.ChineseRemainder
public import Mathlib.Data.Nat.Prime.Defs... |
4,581 | lean_file_chunk | 6640b1c036d7e18a0a795da0dfef46fa7fd79799640cc4cecdcf77378dcb0139 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2021 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
module
public import Mathlib.Logic.Function.Basic
public import Mathlib.Logic.IsEmpty.Defs
public import Mathlib.Logic.Relator
/-!
In this file we prove some ba... |
3,881 | lean_file_chunk | 330f24a107597ee14d43a3e734c8b66d07141efcb2e7f89dc2194fa179aa927e | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2021 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
module
public import Mathlib.Init
/-!
# Types that are empty
In this file we define a typeclass `IsEmpty`, which expresses that a type has no elements.
## Mai... |
16,117 | lean_file_chunk | 2622a989609f875a24cc163480d60f57d495d080a15d9a299908ac77a42163c8 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
module
public import Mathlib.Data.Fin.VecNotation
public import Mathlib.Logic.Embedding.Set
public import Mathlib.Logic.Equiv.Option
public import Mathlib.Data.Int.Init
public... |
4,994 | lean_file_chunk | e3a85e84fa96e863741d34d82b68b514be96976d19b592d3a88b42e0d3601b98 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Paul Lezeau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Paul Lezeau, Lawrence Wu, Jeremy Tan
-/
module
public import Mathlib.Algebra.Group.Fin.Basic
public import Mathlib.Logic.Equiv.Fin.Basic
/-!
# Cyclic permutations on `Fin n`
This file ... |
321 | lean_file_chunk | 7dc37373aba1116ee631c403ac1752d4b85260e46c672cda9287755529bbccc9 | lean_source_file | pkg_mathlib_source_file_chunks | module -- shake: keep-all
public import Mathlib.CategoryTheory.Category.Init
public import Mathlib.Data.Finset.Attr
public import Mathlib.Tactic.Common
public import Mathlib.Tactic.Finiteness.Attr
public import Mathlib.Tactic.SetLike
public import Mathlib.Util.CompileInductive
deprecated_module (since := "2025-12-19"... |
245 | lean_file_chunk | 126e658199fa79918349fdb96a2aa13474b636b4105a4500c14668b07a0d2fc6 | lean_source_file | pkg_mathlib_source_file_chunks | module -- shake: keep-all
public import Mathlib.CategoryTheory.Category.Init
public import Mathlib.Tactic.Common
public import Mathlib.Tactic.Finiteness.Attr
public import Mathlib.Util.CompileInductive
deprecated_module (since := "2025-12-19") |
18,861 | lean_file_chunk | 4eb98ce45113c60677d8f9cecc9be83c19e2a8d9e3a740d63b28bfc31ff40a64 | 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.CategoryTheory.Filtered.Connected
public import Mathlib.CategoryTheory.Limits.ConcreteCategory.Basic
public import Mathlib.CategoryTheory.Limi... |
12,911 | lean_file_chunk | 0d755113b8fe57410c4d081a96183ae89370a06ad9d97032b7d6aad57ed00e85 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2022 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
module
public import Mathlib.CategoryTheory.EpiMono
public import Mathlib.CategoryTheory.Limits.Shapes.StrongEpi
public import Mathlib.CategoryTheory.LiftingProperties... |
7,790 | lean_file_chunk | c701d90937ea62b93e6c299f7e5a29fa877020c9ea0044213910372948fc2f8d | 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: Tim Baumann, Stephen Morgan, Kim Morrison, Floris van Doorn
-/
module
public import Mathlib.CategoryTheory.NatTrans
public import Mathlib.CategoryTheory.Iso
/-!
# The category of funct... |
4,501 | lean_file_chunk | 71279439ce607f7d5f914497cf1eccb0d605c7c8bb9b70a2ac4a3cf3ee1d0d44 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.CategoryTheory.Filtered.Final
public import Mathlib.CategoryTheory.Limits.Preserves.Shapes.Equalizers
public import Mathlib.CategoryTheory.Limits.... |
5,990 | lean_file_chunk | 8e2a0be1d240ade7fce988ce729281a68bd1d54ccc0d0c02204bed9c9b541445 | 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.Functor.Currying
public import Mathlib.CategoryTheory.Functor.Trifunctor
public import Mathlib.CategoryTheory.Products.Associator
... |
5,111 | lean_file_chunk | 9fb6108787ad7bc302f9153451fcad7a9ef7bb7bb6d02399b5a79e3b49ba5f4a | 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: Tim Baumann, Stephen Morgan, Kim Morrison
-/
module
public import Mathlib.CategoryTheory.Category.Basic
public import Mathlib.Combinatorics.Quiver.Prefunctor
public import Mathlib.Tacti... |
1,969 | lean_file_chunk | 4a51e7f6f3d1f6ef61fbd0ab839c88942a846563f643d1a090319925c83ef4ec | 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.Limits.FunctorCategory.EpiMono
public import Mathlib.CategoryTheory.Limits.FunctorCategory.Shapes.Pullbacks
public im... |
5,847 | lean_file_chunk | c18c3e7c7fb0e94a7fd0acede6709874cde3aed83732875fad4617833b0a681f | 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.Category.Preorder
public import Mathlib.CategoryTheory.EqToHom
/-!
# Functors from the category of the ordered set `ℕ`
In this fi... |
3,397 | lean_file_chunk | 88ce34be65a9d21ff2698c6c070e35d1110ac7b18259a3c67427a1225beeab40 | 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, Bhavik Mehta
-/
module
public import Mathlib.CategoryTheory.Opposites
/-!
# The constant functor
`const J : C ⥤ (J ⥤ C)` is the functor that sends an object `X : C` to t... |
5,969 | lean_file_chunk | 7ca3a0caf1a59114ec1295bd08a6d127a79718a0060ef548fe7cf2e7de43d91a | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2023 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.Functor.Category
/-!
# Trifunctors obtained by composition of bifunctors
Given two bifunctors `F₁₂ : C₁ ⥤ C₂ ⥤ C₁₂` and `G : C₁₂ ⥤... |
2,215 | lean_file_chunk | ec3ce9e38d551820d0e232c1a1825376deee13ce2e13d2e605a5ad43dfb5168e | 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.Functor.Basic
/-!
# Unbundled functors, as a typeclass decorating the object-level function.
-/
@[expose] public section
... |
13,391 | lean_file_chunk | 5862cf39ec52593ead3f6c13820fda457fca4ddeb502d26a8d7d5103e7b506ae | 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.CategoryTheory.NatIso
public import Mathlib.Logic.Equiv.Defs
/-!
# Full and faithful functors
We define typeclasses `Full` and `Faithful`,... |
5,588 | lean_file_chunk | 41b4224ef04c1bf0ac9b40f652f740b54a0551da55e77b37cdf6142d709c35be | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Jakob von Raumer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou, Jakob von Raumer
-/
module
public import Mathlib.CategoryTheory.Whiskering
public import Mathlib.CategoryTheory.Opposites
public import Mathlib.Tactic.CategoryTheory.Slic... |
8,841 | lean_file_chunk | a46671cc9e43e34fa17f42031fca9897136126e92b0963e27c4f52802e7b2026 | 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: Kim Morrison
-/
module
public import Mathlib.CategoryTheory.EqToHom
public import Mathlib.CategoryTheory.Products.Basic
/-!
# Curry and uncurry, as functors.
We define `curry : ((C × ... |
7,822 | lean_file_chunk | ddb3df1de17244355b0b4cb2cf028a0f3f532fb54f906b6d1db0277fd9cd9fd3 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Jack McKoen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jack McKoen, Joël Riou
-/
module
public import Mathlib.CategoryTheory.Monoidal.FunctorCategory
public import Mathlib.CategoryTheory.Monoidal.Types.Basic
public import Mathlib.CategoryThe... |
747 | lean_file_chunk | ab75a23c92e3576e920b9d847efc9b930c334b375d2e442ac20495a994467ea3 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2018 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton, Kim Morrison
-/
module
public import Mathlib.CategoryTheory.Products.Basic
public import Mathlib.CategoryTheory.Types.Basic
/-!
The hom functor, sending `(X, Y)` to the typ... |
23,936 | lean_file_chunk | 78ecf1df12733a66e5c9aeeac1d7245dd60b915a7c67b611545600089a85d123 | 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, Kim Morrison
-/
module
public import Mathlib.CategoryTheory.GradedObject.Unitor
public import Mathlib.Data.Fintype.Prod
/-!
# The monoidal category structures on graded objects... |
2,006 | lean_file_chunk | 306c4bdaa4da208386091ae37b214484a1357e46c8187402654315c3467dcecb | lean_source_file | pkg_mathlib_source_file_chunks | [∀ X₂, PreservesColimit (Functor.empty.{0} C) ((curriedTensor C).flip.obj X₂)]
[∀ (X₁ X₂ X₃ X₄ : GradedObject I C), HasTensor₄ObjExt X₁ X₂ X₃ X₄]
noncomputable instance monoidalCategory : MonoidalCategory (GradedObject I C) where
tensorObj X Y := Monoidal.tensorObj X Y
tensorHom f g := Monoidal.tensorHom f g
t... |
6,594 | lean_file_chunk | 64e6d986957bbd593a662337de5511edd2bd6f99ee90dc053532fb555bf89b7e | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2023 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.GradedObject
/-!
# The action of bifunctors on graded objects
Given a bifunctor `F : C₁ ⥤ C₂ ⥤ C₃` and types `I` and `J`, we const... |
3,177 | lean_file_chunk | 890007594394af677e587c525de0ec3d20173a227a7169dccb67d7b1a9df60a8 | 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.GradedObject
/-!
# The graded object in a single degree
In this file, we define the functor `GradedObject.single j : C ⥤ GradedOb... |
23,996 | lean_file_chunk | ca862bca1d75111735ea24253cc737343af39992937f6d5c059bf5be6e46cb40 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2023 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.GradedObject.Bifunctor
public import Mathlib.CategoryTheory.Functor.Trifunctor
/-!
# The action of trifunctors on graded objects
G... |
4,124 | lean_file_chunk | a2be937454cd13824c2bd4d6b70da006bc72875286e9486cf08c9cd064bde0c3 | lean_source_file | pkg_mathlib_source_file_chunks | obtain rfl : i₁ = i₁' := by cat_disch
rfl }
let c₂₃'' : ∀ (i : ρ₂₃.q ⁻¹' {j}), CofanMapObjFun Z p' (i.1.1, i.1.2) :=
fun ⟨⟨i₁, i₂₃⟩, hi⟩ => by
refine (Cocone.precompose (Iso.hom ?_)).obj ((Cocone.whiskeringEquivalence
(Discrete.equivalence (e i₁ i₂₃))).functor.obj (c₂₃' ⟨⟨i₁, i₂₃⟩, hi⟩))
... |
4,182 | lean_file_chunk | b8246fa8cc6a60572e5c63f1fc1495e9cf6ab05487773e72d4c02c1d910b75e8 | 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.GradedObject.Trifunctor
/-!
# The associator for actions of bifunctors on graded objects
Given functors `F₁₂ : C₁ ⥤ C₂ ⥤ C₁₂`, `G... |
15,994 | lean_file_chunk | 8140b772ffc7c122bf322693dd7d494472a2ce65d20957c44b71182cec996c1f | 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.GradedObject.Associator
public import Mathlib.CategoryTheory.GradedObject.Single
/-!
# The left and right unitors
Given a bifuncto... |
8,217 | lean_file_chunk | 0343e0048b3836a7fd9b8465d12f0f97bacc442868ccdd2aa8186a4d8435bfab | 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.GradedObject.Monoidal
public import Mathlib.CategoryTheory.Monoidal.Braided.Basic
/-!
# The braided and symmetric category structur... |
9,925 | lean_file_chunk | c9ba4b6cc0153c449bebe8fd379aa563f6b27be1ac7c90bd8997da2bdf58b132 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.CategoryTheory.ObjectProperty.Small
public import Mathlib.CategoryTheory.Limits.Presentation
import Mathlib.CategoryTheory.Adjunction.Limits
/-!... |
2,222 | lean_file_chunk | 3dac921467cfb6f9b9499b0bd972f688bea6a3c50cc652d4d1dade721ac984ca | 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.Homology.ShortComplex.ShortExact
public import Mathlib.CategoryTheory.ObjectProperty.Basic
/-!
# Properties of objects that are closed un... |
3,789 | lean_file_chunk | bd3a0fcd9e66238af71cf4af67199a29bbb5261bae015d24425187795cdbeebe | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.CategoryTheory.ObjectProperty.ClosedUnderIsomorphisms
public import Mathlib.CategoryTheory.Opposites
/-!
# The opposite of a property of objects
... |
2,874 | lean_file_chunk | 25313eed9a79b05079b0ebd96e7616605f10491ddd4a25ccfbafdb6937d8984a | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.CategoryTheory.ObjectProperty.ClosedUnderIsomorphisms
public import Mathlib.Algebra.Homology.ShortComplex.ShortExact
/-!
# Properties of objects ... |
1,596 | lean_file_chunk | e93d019dc9826c02098f457414c93f5214cdd819694139d6019bc1859f905f91 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2026 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.Adjunction.Limits
public import Mathlib.CategoryTheory.ObjectProperty.LimitsClosure
public import Mathlib.CategoryTheor... |
6,231 | lean_file_chunk | f5e385be1ac081568437b7cf7b829ea1c77acb1458fe4bb769546ee3951620a7 | 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.EssentiallySmall
public import Mathlib.CategoryTheory.Limits.Shapes.ZeroObjects
public import Mathlib.CategoryTheory.... |
4,388 | lean_file_chunk | 97f26e95e59db0dd03a818ad1742c189494efa8bfa1a4dd0886d4bdb562fa731 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.CategoryTheory.ObjectProperty.LimitsClosure
public import Mathlib.CategoryTheory.ObjectProperty.ColimitsOfShape
/-!
# Closure of a property of ob... |
5,516 | lean_file_chunk | 6f1b05639187414db33f5c16f61e389850496f2beadb39ab95b566fdf35fa482 | 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: Kim Morrison, Reid Barton, Joël Riou
-/
module
public import Mathlib.CategoryTheory.InducedCategory
public import Mathlib.CategoryTheory.ObjectProperty.Basic
/-!
# The full subcategory... |
6,694 | lean_file_chunk | e9d9f62cd06308b9e88cbfb6128a482c6263109b5867adf9ead23272f8599449 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.CategoryTheory.Functor.Basic
public import Mathlib.CategoryTheory.Iso
public import Mathlib.Order.Basic
/-!
# Properties of objects in a category... |
4,248 | lean_file_chunk | 4757f46d66d7987ca766ad65ece50cc8128f6eeda2a466e2478d3b964f68f648 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.CategoryTheory.ObjectProperty.ClosedUnderIsomorphisms
public import Mathlib.CategoryTheory.ObjectProperty.LimitsOfShape
public import Mathlib.Cate... |
3,040 | lean_file_chunk | bea981b3c60d4e9e82090c3fabc9026e5a4c01392455830871580a0e2a93039b | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.CategoryTheory.ObjectProperty.ColimitsClosure
public import Mathlib.CategoryTheory.SmallRepresentatives
public import Mathlib.CategoryTheory.Comma... |
1,591 | lean_file_chunk | 7792ae1dc5308e907a4ebdd6f18a4d6803f9a67ef438c4bafb1a21dbcbb9be88 | 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.SetTheory.Cardinal.HasCardinalLT
public import Mathlib.CategoryTheory.ObjectProperty.Basic
/-!
# Properties of objects that are bounded by a card... |
4,549 | lean_file_chunk | a5bf4cd33aa39ec17634cdade09d0062585f72bf21e53cd75582629c7472b254 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Christian Merten. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Christian Merten
-/
module
public import Mathlib.CategoryTheory.Presentable.ColimitPresentation
public import Mathlib.CategoryTheory.Presentable.Dense
/-!
# Ind and pro-properties
... |
6,812 | lean_file_chunk | c2ed92a1cdacc3994261f116b8a0efdf7c61e05dc45c267b673c7180248fcd33 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2026 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.FullSubcategory
public import Mathlib.CategoryTheory.MorphismProperty.OfObjectProperty
public import Mathlib.Cat... |
3,951 | lean_file_chunk | dcd45c38a80e04d75905709330d0c54a76aa46687a543f29c51a6f0025fd9392 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.CategoryTheory.ObjectProperty.ClosedUnderIsomorphisms
public import Mathlib.CategoryTheory.ObjectProperty.Opposite
public import Mathlib.CategoryT... |
2,133 | lean_file_chunk | ef5cc4fd3125b6aba8def37cd596e46c8731a5e386e1bc0c1bdd03d2071e9064 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.CategoryTheory.ObjectProperty.ContainsZero
/-!
# Orthogonal of a property of objects
Let `P` be a property of objects in a category with zero mo... |
10,195 | lean_file_chunk | c8588c3fbb3dfae612e8b84997fc1d94e74db58a97e2999dfef596e00cf4c831 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.CategoryTheory.ObjectProperty.CompleteLattice
public import Mathlib.CategoryTheory.ObjectProperty.Equivalence
public import Mathlib.CategoryTheory... |
3,678 | lean_file_chunk | 76449b3904a8f96ee5d70547b5bb95c4e4521574d2a9e1a72afc25722fcd2b57 | 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.Iso
public import Mathlib.CategoryTheory.ObjectProperty.Basic
public import Mathlib.Order.Basic
/-! # Properties of objects which ... |
3,635 | lean_file_chunk | c59796c89f463fc0076c7c7da4aa17e3ed306531b4a8e5bc0c3a223dff5f6709 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.CategoryTheory.ObjectProperty.ClosedUnderIsomorphisms
public import Mathlib.CategoryTheory.ObjectProperty.FullSubcategory
public import Mathlib.Or... |
7,841 | lean_file_chunk | b765b00149dec1e5903884d0ca46241beb62805ba471d853161a98c87071ecb2 | 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.ObjectProperty.CompleteLattice
public import Mathlib.CategoryTheory.Shift.CommShift
public import Mathlib.Order.ConditionallyComple... |
9,759 | lean_file_chunk | 365195d0c44b916016260c4ff51b3ea72a087e34d1bf7b7da81018e8f41334f1 | 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.Limits.Constructions.FiniteProductsOfBinaryProducts
public import Mathlib.CategoryTheory.Limits.FullSubcategory
public import Mathl... |
1,186 | lean_file_chunk | 5dd5540d93562125a59d1995af3d02088b021fcc1d51e520f17bd60d5238ba46 | 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.ObjectProperty.Shift
public import Mathlib.CategoryTheory.Preadditive.AdditiveFunctor
/-!
# Properties of objects on preadditive c... |
10,231 | lean_file_chunk | 1cbf5112cfeea9319716be44ab588532f5f59eb8b44e1d5f81a954cbd8ca8a46 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
module
public import Mathlib.CategoryTheory.ObjectProperty.LimitsOfShape
public import Mathlib.CategoryTheory.ObjectProperty.CompleteLattice
public import Mathlib.Order.Transf... |
2,652 | lean_file_chunk | 30645b1fb33a706c61dea06e18530a16c70b50d8b1471b790a05c902dd8754b3 | 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.ObjectProperty.FullSubcategory
public import Mathlib.CategoryTheory.Equivalence
public import Mathlib.Order.BooleanAlgebra.Defs
/-... |
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