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 |
|---|---|---|---|---|---|
13,415 | lean_file_chunk | 011d9f384ca9ec85c57a79fbb4267516ba32b02adcd9e3674c9a5e146a05d5ea | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2022 Kim Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kim Morrison, Yuma Mizuno, Oleksandr Manzyuk
-/
module
public meta import Mathlib.Lean.Meta
public import Mathlib.CategoryTheory.Monoidal.Free.Basic
public meta import Mathlib.CategoryT... |
3,878 | lean_file_chunk | 05d6907feb4ad2aee9ae9f6785b7d1849322153a39c1fa065440e6b0facfd0ad | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2022 Yuma Mizuno. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yuma Mizuno
-/
module
public import Mathlib.CategoryTheory.Bicategory.Basic
/-!
# Bicategorical composition `⊗≫` (composition up to associators)
We provide `f ⊗≫ g`, the `bicategorical... |
10,888 | lean_file_chunk | a354fec9db8d12d75a83632d979a78c91027ad88d0ca1376db9d70dc1a93426d | 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, Kyle Miller
-/
module
public meta import Mathlib.Util.AddRelatedDecl
public import Mathlib.CategoryTheory.ConcreteCategory.Basic
public meta import Mathlib.Tactic.ToAdditi... |
7,322 | lean_file_chunk | 280ed669f4280e24df4f9d30816de7dab0b13772ca723a7dd0d622faaca8e451 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2022 Kim Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kim Morrison, Robin Carlier
-/
module
public import Mathlib.CategoryTheory.Functor.Basic
public import Mathlib.Util.AddRelatedDecl
/-!
# The `reassoc` attribute
Adding `@[reassoc]` to... |
7,388 | lean_file_chunk | d40db98ddc781e613f276575ea22a7aaa1569cf8c1dc757c628fa1f3efcda8cd | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Calle Sönne. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Calle Sönne
-/
module
public import Mathlib.CategoryTheory.Category.Cat
public meta import Mathlib.Util.AddRelatedDecl
public meta import Mathlib.Tactic.ToAdditive
/-!
# The `to_app` at... |
2,247 | lean_file_chunk | 99bff4d2ec7e5f1de497fd9aa49cc402f560f40aef06db1e57de0080afb9b899 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Robin Carlier. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robin Carlier
-/
module
public import Mathlib.CategoryTheory.Iso
/-!
# Extension of `reassoc` to isomorphisms.
We extend `reassoc` and `reassoc_of%` for equality of isomorphisms.
Add... |
5,597 | lean_file_chunk | 0b5ea4823f4affa8725d6ce5adfe132d965e25aea95a256164fd601699909f20 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2026 Robin Carlier. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robin Carlier
-/
module
public import Mathlib.Tactic.Push
public import Mathlib.CategoryTheory.Iso
/-!
# Simproc for canceling morphisms with their inverses
This module implements th... |
4,456 | lean_file_chunk | af7711a404a5d507454f91bfbbce9a6d47a4c21973a5562739ec267191af41ba | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Lean FRO, LLC. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kim Morrison
-/
module
public import Aesop
public import Mathlib.CategoryTheory.Category.Basic
public meta import Mathlib.Tactic.ToDual
/-!
The `check_compositions` tactic,
which chec... |
4,797 | lean_file_chunk | 081379b90daeee3c84a32f754dc86299d35dc815d3217fe8c0f1e5e2b2fd41b8 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2022 Kim Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kim Morrison, Yuma Mizuno, Oleksandr Manzyuk
-/
module
public import Mathlib.CategoryTheory.Monoidal.Category
/-!
# Monoidal composition `⊗≫` (composition up to associators)
We provid... |
3,167 | lean_file_chunk | 74a9af3a50ea8593e468a8c9aa81603273efd0804ef39f84c3d9119fb30cbe58 | 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.Category.Basic -- shake: keep (tactic output dependency)
/-!
# The `slice` tactic
Applies a tactic to an interval of terms... |
6,548 | lean_file_chunk | 971d282151bbec6424f9fc779f44d0175b2fefcace0a1a016a5c0f41d8f3bfb2 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2022 Yuma Mizuno. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yuma Mizuno
-/
module
public meta import Mathlib.CategoryTheory.Bicategory.Free
public import Mathlib.CategoryTheory.Bicategory.Free
public import Mathlib.Tactic.CategoryTheory.Bicategor... |
23,932 | lean_file_chunk | 1b79239b8965a4cc4a8d7867931e4134425f79cca49c1c02e69d3661cc2e81f7 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Lean FRO, LLC. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen, Edward van de Meent
-/
module
public meta import Mathlib.Tactic.TacticAnalysis
public meta import Lean.Elab.Command
public meta import Mathlib.Lean.Elab.InfoTree
public me... |
7,220 | lean_file_chunk | ddb4da4b2ce976827a3ed863fae6ae677a79540a514d4d3469e5dff01a6d01f2 | lean_source_file | pkg_mathlib_source_file_chunks | register_option linter.tacticAnalysis.tryAtEachStepFromEnv : Bool := {
defValue := false
}
@[tacticAnalysis linter.tacticAnalysis.tryAtEachStepFromEnv,
inherit_doc linter.tacticAnalysis.tryAtEachStepFromEnv]
def tryAtEachStepFromEnv := tryAtEachStepFromEnvImpl
-- TODO: add compatibility with `rintro` and `intros... |
4,418 | lean_file_chunk | 6bc823450490500daede4dd2c7028a1669cdd0e4a59ce98de86ce40b5590b4a3 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Jovan Gerbscheid. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jovan Gerbscheid
-/
module
public import Mathlib.Init
public import Lean.Meta.Tactic.Simp
/-!
# The `@[push]` attribute for the `push` and `pull` tactics
This file defines the `@[... |
6,295 | lean_file_chunk | fb45b3df92df782af04604e70255db34eb3b1a904ff51476d9a3cce066edfb48 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2023 Sebastian Zimmer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Zimmer, Mario Carneiro, Heather Macbeth, Jovan Gerbscheid
-/
module
public meta import Lean.Meta.Tactic.Rewrite
public import Mathlib.Tactic.GCongr.Core
/-!
# The genera... |
13,561 | lean_file_chunk | 00875995a026adfae3f902a22e64a7036f35ec2e2debd7b1e91e40a4e526857a | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2023 Sebastian Zimmer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Zimmer, Mario Carneiro, Heather Macbeth, Jovan Gerbscheid
-/
module
public meta import Lean.Elab.Tactic.Rewrite
public import Mathlib.Tactic.GRewrite.Core
/-!
# The gene... |
6,744 | lean_file_chunk | 6c2de4288664fc0d2f1a19d64578aee57faf413497e3ca207ed2ca09534e7a4f | 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.Init
public meta import Lean.LabelAttribute -- TODO: `registerLabelAttr` should be marked `meta`
public import Lean.LabelAttribute
pub... |
871 | lean_file_chunk | 5ca2a26d1a707a2d4505454ea0f3af953e5946820a5a31fcce516953ad75fe0e | 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
import Mathlib.Tactic.Attr.Register
/-!
# Simp tags for core lemmas
In Lean 4, an attribute declared with `register_simp_attr` cannot be used in the same ... |
318 | lean_file_chunk | 8d3823cd1a0f05bc5cb4e68fc81bd22924e0a4227b42c880ab097cd4e2392995 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 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
public import Aesop.Frontend
/-! # Finiteness tactic attribute -/
public meta section
declare_aesop_rule_sets [finiteness] |
23,955 | lean_file_chunk | 636bb15dbea9bfb582e3ab8ff934bbcc71a817a8a5364d92118f7617a7bdf0a3 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2023 Mario Carneiro, Heather Macbeth. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Heather Macbeth, Jovan Gerbscheid
-/
module
public meta import Batteries.Lean.Except
public import Batteries.Tactic.Exact
public meta import Lean.Meta... |
15,062 | lean_file_chunk | 361fceead80ef5004de56fcac8ac8d34e4ffffa6aa8b274d7e63af8739e45c4b | lean_source_file | pkg_mathlib_source_file_chunks | TODO: make `Lean.MVarId.apply` take a configuration argument to do this itself
-/
def _root_.Lean.MVarId.applyWithArity (mvarId : MVarId) (e : Expr) (arity : Nat)
(cfg : ApplyConfig := {}) (term? : Option MessageData := none) : MetaM (List MVarId) :=
mvarId.withContext do
mvarId.checkNotAssigned `apply
le... |
1,292 | lean_file_chunk | 62bb145eb2f7374cd30becf94ae982d5a1a2339f141a8e95f356777d5bb60d9d | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
module
public import Mathlib.Tactic.GCongr.Core
/-!
# gcongr attributes for lemmas up in the import chain
In this file we add `gcongr` attribute to lemmas in `Le... |
2,122 | lean_file_chunk | 56d9cf3316d55809ee7f2708ca65f65ed375eb09ed8e79c7360eb72c56395e30 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2023 Mario Carneiro, Heather Macbeth. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Heather Macbeth
-/
module
public import Mathlib.Init
/-!
# Environment extension for the forward-reasoning part of the `gcongr` tactic
-/
public met... |
23,972 | lean_file_chunk | 25d9c05db5b683af1778b9ab31b559e488bf8ef4ec8094baf367bb51ff4f8edc | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2022 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
module
public import Mathlib.Algebra.Group.Nat.Defs
public meta import Mathlib.Algebra.Notation.Defs
public import Mathlib.Tactic.Push
/-!
# `lrat_proof` command
D... |
4,371 | lean_file_chunk | b9032447efafbff0472d648b579f56a8c36a4a937701c5cc5a86aa936bad5597 | lean_source_file | pkg_mathlib_source_file_chunks | addDecl <| Declaration.defnDecl {
name := ctxName
levelParams := []
type := mkConst ``Sat.Fmla
value := ctx'
hints := ReducibilityHints.regular 0
safety := DefinitionSafety.safe
}
let ctx := mkConst ctxName
let Parsec.ParseResult.success _ steps := Parser.parseLRAT ... |
1,769 | lean_file_chunk | 1d60ee29c3475384cd7fa02622af25cf400293a9cff95231fe9fa8f6025f090c | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2019 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
module
public import Mathlib.Algebra.Order.Group.Defs
public import Mathlib.Algebra.Order.Group.Unbundled.Abs
public import Mathlib.Algebra.Order.Ring.Unbundled.Basic
publ... |
1,228 | lean_file_chunk | e7beefeb169365051ec9dbde56405020f6162ee11ca90c2611a0aa4d236297aa | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2023 Heather Macbeth. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Heather Macbeth
-/
module
public import Mathlib.Init
public meta import Lean.LabelAttribute
/-! # The @[mono] attribute -/
public meta section
namespace Mathlib.Tactic.Monotonicit... |
2,328 | lean_file_chunk | 6efd8f2652ee509832af407cec0081ad6e61951add9ac06166647cff8caa0790 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2019 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
module
public meta import Lean.Elab.Tactic.SolveByElim
public import Mathlib.Tactic.Monotonicity.Attr
/-! # Monotonicity tactic
The tactic `mono` applies monotonicity ru... |
9,374 | lean_file_chunk | 0d533762212a7e2ac6eb2c7f2e66254ff351e5123700fd9bd72d2ec0e8a6ea09 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2020 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Y. Lewis
-/
module
public meta import Mathlib.Algebra.GroupWithZero.Nat
public meta import Mathlib.Algebra.Ring.Int.Defs
public import Mathlib.Tactic.Linarith.Datatypes
/-!
#... |
3,676 | lean_file_chunk | 0e2e6fbaffa738d71d8a3400038cba4f4567ae81963613591e251e0a71a166a8 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2020 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Y. Lewis
-/
module
public meta import Batteries.Tactic.Lint.Basic
public meta import Mathlib.Data.Ineq
public import Mathlib.Data.Ineq
public import Mathlib.Data.Nat.Cast.Orde... |
10,106 | lean_file_chunk | 81dc4696eeb23bb2274fb093d4bca720d64293453bc39219afcdf39b2e61c876 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2020 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Y. Lewis
-/
module
public meta import Mathlib.Util.Qq
public meta import Mathlib.Tactic.Linarith.Datatypes
public import Mathlib.Tactic.Linarith.Parsing
/-!
# Deriving a proo... |
2,638 | lean_file_chunk | 24701dee4840543abcb8427fac46bc6cffb3829b793ad69e28d8fec466327c2e | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2026 David Ledvinka. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Ledvinka
-/
module
public meta import Mathlib.Tactic.Linarith
public meta import Mathlib.Tactic.Rify
public import Mathlib.Data.NNReal.Basic
/-!
# NNReal linarith preprocessing... |
15,801 | lean_file_chunk | f8d38df6347f14a1ea8f069af4dad8b8f7ad33b5278162db57b9601b87a9177d | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2020 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Y. Lewis
-/
module
public meta import Mathlib.Control.Basic
public meta import Mathlib.Lean.Meta.Tactic.Rewrite
public meta import Mathlib.Tactic.Linarith.Datatypes
public met... |
11,586 | lean_file_chunk | c2eb6ec504dda68917f7bdc1349db6bc61bd216cb3ecfeff440d4c8d68899769 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2020 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.Tactic.Linarith.Lemmas
public import Mathlib.Tactic.NormNum.Basic
public import Mathlib.Util.SynthesizeUsing
/-!
# Datatypes for `lin... |
23,969 | lean_file_chunk | c5c9e8f799163ae06d1443db2256ba811357e9b883f4d2b9021668886d954b60 | 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 meta import Mathlib.Control.Basic
public import Mathlib.Tactic.Linarith.Oracle.SimplexAlgorithm
public import Mathlib.Tactic.Linarith.Preprocessing
p... |
3,433 | lean_file_chunk | 0a60bfe12132a4aa767082a1a732b00a5a223e85d29cfed9fb37424fdd049abf | lean_source_file | pkg_mathlib_source_file_chunks | syntax (name := nlinarith) "nlinarith" "!"? linarithArgsRest : tactic
@[tactic_alt nlinarith] macro "nlinarith!" rest:linarithArgsRest : tactic =>
`(tactic| nlinarith ! $rest:linarithArgsRest)
/--
Allow elaboration of `LinarithConfig` arguments to tactics.
-/
declare_config_elab elabLinarithConfig Linarith.LinarithC... |
531 | lean_file_chunk | f2c01963efd49c23e2b5c12fb2e87a34c2eca9001d5081bc8e2dbde9fc9a0ea2 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Geoffrey Irving. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Geoffrey Irving
-/
module
public import Mathlib.Init
public import Aesop.Frontend.Command
/-!
# Bound Rule Set
This module defines the `Bound` Aesop rule set which is used by the
`... |
6,314 | lean_file_chunk | 34024b435b01b49919041db5909d32b7c964d429bb2566105cdbcd8563213914 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Geoffrey Irving. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Geoffrey Irving
-/
module
public import Aesop
public import Mathlib.Tactic.Bound.Init
public import Qq
/-!
# The `bound` attribute
Any lemma tagged with `@[bound]` is registered as... |
532 | lean_file_chunk | 91f3dde081d9ade158629aef28c9402cc61d20fd8223bacb5b5f5c0f8e6bd9ae | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2023 Miyahara Kō. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Miyahara Kō
-/
module
public import Mathlib.Init
public import Aesop
/-!
# Measurability Rule Set
This module defines the `Measurable` Aesop rule set which is used by the
`measurabilit... |
1,606 | lean_file_chunk | a96a20aee314fabe3495d21711baf1a3505afb30295e5081064238fad9065838 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2026 Wenrong Zou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wenrong Zou
-/
module
public import Mathlib.RingTheory.MvPowerSeries.Basic -- shake: keep (tactic dependency)
/-!
The command `name_power_vars` names variables in
`MvPowerSeries (Fin n... |
1,575 | lean_file_chunk | 994829d7a2de60a77aa04caaa0b1779f56fa7748d50018a39a2244eca85b39a3 | 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: Adam Topaz
-/
module
public import Mathlib.Algebra.MvPolynomial.Basic -- shake: keep (tactic dependency)
/-!
The command `name_poly_vars` names variables in
`MvPolynomial (Fin n) R` for... |
22,563 | lean_file_chunk | 01174800f7b9221a92507438011e180745891f3de0806599f9f32b5468ab83d0 | 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, Aurélien Saue, Anne Baanen
-/
module
public import Mathlib.Tactic.NormNum.Inv
public import Mathlib.Tactic.NormNum.Pow
public import Mathlib.Tactic.Ring.Common
meta im... |
12,112 | lean_file_chunk | 2f77d1a916bd1b1c00de9222d53a2cc9fa0120a1841f60da945e6e0f5aa1f0c5 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Heather Macbeth. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Heather Macbeth
-/
module
import all Mathlib.Tactic.NormNum.Ineq
public import Mathlib.Tactic.NormNum.Ineq
public import Mathlib.Tactic.Ring.Basic
/-!
# Automation for proving inequ... |
1,542 | lean_file_chunk | 220e91b81e662985766ea93709b6ffb94edef46c60fe72e87955ee5e2936616f | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2023 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
module
public meta import Mathlib.Tactic.Ring.Basic
public meta import Mathlib.Data.PNat.Basic
public import Mathlib.Data.PNat.Basic
public import Mathlib.Tactic.Rin... |
23,970 | lean_file_chunk | 74124079bd4223262619e5a12e6d2aff43ca7a9e513cede8cbea074f8a930f3d | 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, Aurélien Saue, Anne Baanen
-/
module
public import Mathlib.Tactic.NormNum.Inv
public import Mathlib.Tactic.NormNum.Pow
public meta import Mathlib.Tactic.NormNum.Result... |
23,973 | lean_file_chunk | 490f61e439cb488b0a9dcdd6593e36fd4c164e774524380d5992d78d0daaab5a | lean_source_file | pkg_mathlib_source_file_chunks | * `a * x + a * y = a * (x + y)` (for `x`, `y` coefficients; uses `evalAddOverlap`)
* `(a₁ + a₂) + (b₁ + b₂) = a₁ + (a₂ + (b₁ + b₂))` (if `a₁.lt b₁`)
* `(a₁ + a₂) + (b₁ + b₂) = b₁ + ((a₁ + a₂) + b₂)` (if not `a₁.lt b₁`)
-/
partial def evalAdd {a b : Q($α)} (va : ExSum bt sα a) (vb : ExSum bt sα b) :
MetaM <| Result ... |
4,847 | lean_file_chunk | a670784b18b9204564f19ce8747b5c4d7e6181fec9c459e642d0570b93a5044b | lean_source_file | pkg_mathlib_source_file_chunks | theorem div_congr {R} [Semifield R] {a a' b b' c : R} (_ : a = a') (_ : b = b')
(_ : a' / b' = c) : (a / b : R) = c := by subst_vars; rfl
theorem smul_congr {R α : Type*} [CommSemiring α] [SMul R α]
{r : R} {a b t c : α}
(_ : a = b) (_ : ∀ (x : α), r • x = t * x) (_ : t * b = c) :
r • a = c := by
sub... |
10,064 | lean_file_chunk | 601fec89bf4eb4390eede4827efa1ff82c8fefb95d8a0c0a24cf64580d0b8780 | 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, Anne Baanen
-/
module
public import Mathlib.Tactic.Ring.Basic
public import Mathlib.Tactic.TryThis
public import Mathlib.Util.AtomM.Recurse
public meta import Mathlib.... |
2,338 | lean_file_chunk | 2316c811302b1bf3fe9a46164df24537d84ed50a3467766977ce65fb14a12207 | 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, Evgenia Karunus, Kyle Miller
-/
module
public meta import Lean.Meta.Basic
public meta import Mathlib.Tactic.Explode.Datatypes
public import Mathlib.Tactic.Explode.Data... |
3,176 | lean_file_chunk | e080e8c51dff9a639e5e41f28c0b529bf5df1f9872befe5189632465e0655284 | 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, Evgenia Karunus, Kyle Miller
-/
module
public import Mathlib.Init
public meta import Lean.Util.Trace
/-!
# Explode command: datatypes
This file contains datatypes us... |
23,937 | lean_file_chunk | 4805cc7e16c30d320307596256f278726a3257566c8fbdd01c4e7233ef5845d1 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2022 Mario Carneiro, Heather Macbeth. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Heather Macbeth, Yaël Dillies
-/
module
public meta import Mathlib.Control.Basic
public import Mathlib.Algebra.Order.Invertible
public import Mathlib.... |
4,639 | lean_file_chunk | b0c78da7a55939ae4a9ae3fcb4669e1c5c0786895a5d20aa487cee77e8e780bf | 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.Algebra.Order.BigOperators.Group.Finset -- shake: keep (Qq dependency)
public import Mathlib.Data.Finset.Density -- shake: keep (Qq depend... |
23,978 | lean_file_chunk | 30360adff1f6989da9d78a8820672c64437d46128c9e7fc5d5ed48133c4cd90b | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2022 Mario Carneiro, Heather Macbeth. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Heather Macbeth, Yaël Dillies
-/
module
public meta import Qq
public import Mathlib.Algebra.Order.Group.PosPart -- shake: keep (Qq dependency)
public... |
1,641 | lean_file_chunk | 53f7f7217c15e8dc0ef06d9b07cef6738e5f2880fe34560d7a014914cf7d2c63 | lean_source_file | pkg_mathlib_source_file_chunks | pure <| .positive q(den_pos $a)
| _, _ => throwError "not Rat.num"
/-- Extension for `posPart`. `a⁺` is always nonnegative, and positive if `a` is. -/
@[positivity _⁺]
meta def evalPosPart : PositivityExt where eval {u α} zα pα e := do
match e with
| ~q(@posPart _ $instαpospart $a) =>
let _instαlat ← synthIn... |
550 | lean_file_chunk | b516348e606311a4b2ed413dbabc730539dbc2d97037d5235714730884e67e18 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2023 Arend Mellendijk. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Arend Mellendijk
-/
module
public import Mathlib.Init
public import Aesop
/-!
# `arith_mult` Rule Set
This module defines the `IsMultiplicative` Aesop rule set which is used by th... |
6,548 | lean_file_chunk | 16968684b3916ba9e5da75ad22db7e20ae252e7438787000fa1a47d2ac7f1aba | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Arend Mellendijk. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Arend Mellendijk
-/
module
public import Mathlib.Algebra.Algebra.Defs
public import Mathlib.Algebra.Algebra.Basic
public import Mathlib.Tactic.Ring.RingNF
/-! # Lemmas for the `alg... |
20,876 | lean_file_chunk | f605a1b88b552e53fcc379fcff84938a0657dd7f3ee240d6bae94f3fe28c6ca3 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Arend Mellendijk. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Arend Mellendijk
-/
module
public import Mathlib.Algebra.Algebra.Basic
public import Mathlib.Algebra.Algebra.Defs
public import Mathlib.Tactic.Ring.RingNF
import Mathlib.Tactic.Alg... |
652 | lean_file_chunk | 83c84d3788f89fad18ef78db00f75ff02ca69682db0b101fbaf87b083db7b022 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2023 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
module
public import Mathlib.Init
public meta import Lean.Meta.Tactic.Simp.Attr
/-!
# `@[reduce_mod_char]` attribute
This file registers `@[reduce_mod_char]` as a `simp`... |
2,690 | lean_file_chunk | 844f7f2c33d538efd9e158d391c097f747821516941fcc36ad485b5866a2a076 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Vasilii Nesterov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Vasilii Nesterov
-/
module
public import Mathlib.Tactic.Order.CollectFacts
public meta import Mathlib.Util.AtomM
/-!
# Graphs for the `order` tactic
This module defines the `Graph... |
2,915 | lean_file_chunk | 64c174af7799231ba160b024d1b33fd2161fb12f49085b49c2eedb9ca43afda4 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Vasilii Nesterov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Vasilii Nesterov
-/
module
public meta import Mathlib.Tactic.Order.Graph.Basic
public import Mathlib.Tactic.Order.Graph.Basic
/-!
# Tarjan's Algorithm
This file implements Tarjan'... |
21,753 | lean_file_chunk | 4a586c167916220d8f077cc5e252e5f66f0936e05d55571977dce3d8bcc86ab7 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2026 Vasilii Nesterov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Vasilii Nesterov
-/
module
public import Mathlib.Data.Seq.Basic
public import Mathlib.Tactic.ComputeAsymptotics.Multiseries.Majorized
/-!
# Multiseries definitions
In this file, ... |
4,939 | lean_file_chunk | 760c316151ac377a06d8dfac8c865945d6b27638cac713121c31375e8cd822af | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Vasilii Nesterov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Vasilii Nesterov
-/
module
public import Mathlib.Analysis.SpecialFunctions.Pow.Asymptotics
/-!
# `Majorized` predicate
This file defines the `Majorized` predicate, along with a fe... |
15,919 | lean_file_chunk | 511fe40383fbd87c1fd05502c814e08581f99af8f6deee37132409c870db45e3 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2026 Vasilii Nesterov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Vasilii Nesterov
-/
module
public import Mathlib.Topology.MetricSpace.PiNat
public import Mathlib.Topology.MetricSpace.UniformConvergence
public import Mathlib.Topology.MetricSpace.... |
8,227 | lean_file_chunk | ccc260e15610cc097ab83db5738c68864497418e3a9d48140cad8521bca77519 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2026 Vasilii Nesterov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Vasilii Nesterov
-/
module
public import Mathlib.Analysis.Complex.Exponential
public import Mathlib.Analysis.SpecialFunctions.Pow.NNReal
/-!
# Well-formed bases
## Main definitions... |
4,491 | lean_file_chunk | 426def1cbb255f1dd50318289fe50aeb7f6882ae123aa960b425e6bb1dda93ae | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2026 Vasilii Nesterov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Vasilii Nesterov
-/
module
public import Mathlib.Data.Real.Basic
/-!
# Predicates on monomials
In this file we define `UnitMonomial`: type to represent monomials without coeffici... |
14,265 | lean_file_chunk | afe4fcdf79b25b96ef9603c8586e5f0b0bc45a2799eecd35488243ba949afbb1 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Jon Eugster. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adomas Baliuka, Jon Eugster, Michael Rothgang
-/
module
import Mathlib.Init
/-!
# Tools for the unicode Linter
The actual linter is defined in `TextBased.lean`.
This file defines th... |
8,716 | lean_file_chunk | cdd3529d57b31a96e0c2eaea456fe78405e6953c09ea469daadd818453b3979c | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Yuma Mizuno. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yuma Mizuno
-/
module
public meta import Lean.Meta.Tactic.Apply
public meta import Mathlib.Tactic.CategoryTheory.Coherence.Datatypes
public import Mathlib.Tactic.CategoryTheory.Coherence... |
4,809 | lean_file_chunk | 413bbf8f4a2627e711be77ee3f898afd853355302e1aa901c0af12b529678e4f | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Yuma Mizuno. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yuma Mizuno
-/
module
public meta import Mathlib.Tactic.CategoryTheory.Coherence.Normalize
public import Mathlib.CategoryTheory.Category.Basic
public import Mathlib.Tactic.CategoryTheory... |
23,982 | lean_file_chunk | 3c7e6f7e8523dc56fa833162c5dec462c58178f2bf14388788385fa5dc52efd6 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Yuma Mizuno. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yuma Mizuno
-/
module
public meta import Lean.Meta.AppBuilder
public meta import Mathlib.Tactic.CategoryTheory.Coherence.Datatypes
public import Mathlib.Tactic.CategoryTheory.Coherence.D... |
2,858 | lean_file_chunk | c3cb7bb1730fceed0b661ba72602683ed62219421cb934a5ec26bccb6dd1a9ac | lean_source_file | pkg_mathlib_source_file_chunks | def eval (nm : Name) (e : Mor₂) : CoherenceM ρ Eval.Result := do
withTraceNode nm (fun _ => return m!"eval: {e.e}") do
match e with
| .isoHom _ _ α => withTraceNode nm (fun _ => return m!"Iso.hom") do match α with
| .structuralAtom α => return ⟨← nilM <| .structuralAtom α, ← mkEqRefl e.e⟩
| .of η ... |
17,612 | lean_file_chunk | a41b81947f145b132c978c6954e4d196c2911709aaf4c017c106a194e3041dde | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Yuma Mizuno. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yuma Mizuno
-/
module
public meta import Lean.Meta.Basic
public import Mathlib.Init
/-!
# Datatypes for bicategory like structures
This file defines the basic datatypes for bicategory ... |
10,398 | lean_file_chunk | 3940ba72b5a702eda961a90309260691355b45f19043eb247c958ce634781e38 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Yuma Mizuno. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yuma Mizuno
-/
module
public meta import Mathlib.Tactic.CategoryTheory.Monoidal.Datatypes
public import Mathlib.Tactic.CategoryTheory.Coherence.PureCoherence
public import Mathlib.Tactic... |
2,121 | lean_file_chunk | 496d5847dfcc91906cb0232c7cf39f6fc5eecc9c46ca5fb5686195cc48fbb4d3 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Yuma Mizuno. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yuma Mizuno
-/
module
public import Mathlib.Tactic.CategoryTheory.Coherence.Basic
public import Mathlib.Tactic.CategoryTheory.Monoidal.Normalize
public import Mathlib.Tactic.CategoryTheo... |
23,918 | lean_file_chunk | d3679fb4fe3e17c2741e2f7a202fd8508c336dec6ac573dc72b51572812edd4e | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Yuma Mizuno. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yuma Mizuno
-/
module
public meta import Mathlib.Tactic.CategoryTheory.Monoidal.Datatypes
public import Mathlib.Tactic.CategoryTheory.Coherence.Normalize
public import Mathlib.Tactic.Cat... |
5,290 | lean_file_chunk | 93289b2ebd24633ae82c8b3b1c617340aa5d9add8c3621b4da6b9a307564f502 | lean_source_file | pkg_mathlib_source_file_chunks | have e_η₁ : Q(((Iso.refl _).hom ≫ $η ≫ (Iso.refl _).hom) ▷ $g' = $η₁) := e_η₁
have e_ηs₁ : Q($ηs ▷ $g' = $ηs₁) := e_ηs₁
have e_η₂ : Q($η₁ ≫ $ηs₁ = $η₂) := e_η₂
have e_η₃ : Q(($α ⊗ᵢ $β).hom ≫ $η₂ = $η₃) := e_η₃
return q(evalHorizontalComp_cons_nil $e_η₁ $e_ηs₁ $e_η₂ $e_η₃)
mkEvalHorizontalCompConsCons ... |
18,371 | lean_file_chunk | 9d5f800501904bb3c13049b5a711a50f461fffac1456a33627292377604b8896 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Yuma Mizuno. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yuma Mizuno
-/
module
public meta import Mathlib.Tactic.CategoryTheory.Coherence.Datatypes
public import Mathlib.Tactic.CategoryTheory.Coherence.Datatypes
public import Mathlib.Tactic.Ca... |
10,370 | lean_file_chunk | d8eddce21ced6e3b74f1c2b2dfd472293a296f1c370d98d9cdfd68bb8e22d2bd | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Yuma Mizuno. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yuma Mizuno
-/
module
public meta import Mathlib.Tactic.CategoryTheory.Bicategory.Datatypes
public import Mathlib.Tactic.CategoryTheory.Bicategory.Datatypes
public import Mathlib.Tactic.... |
2,149 | lean_file_chunk | 64910fd672bcb90dc39b7aa77132c8d32aa420b9f4f7a68e6184cd384079de4a | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Yuma Mizuno. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yuma Mizuno
-/
module
public import Mathlib.Tactic.CategoryTheory.Bicategory.Normalize
public import Mathlib.Tactic.CategoryTheory.Bicategory.PureCoherence
public import Mathlib.Tactic.C... |
18,835 | lean_file_chunk | 16976e91121d7dad6cabc39f3b41f15bbb37d5df801de3d9ab33497c0404af73 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Yuma Mizuno. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yuma Mizuno
-/
module
public meta import Mathlib.Tactic.CategoryTheory.Bicategory.Datatypes
public import Mathlib.Tactic.CategoryTheory.Bicategory.Datatypes
public import Mathlib.Tactic.... |
18,300 | lean_file_chunk | ed8e5609bf332249174bd5983779efc2f2a212396218630895ada17f224e2b10 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Yuma Mizuno. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yuma Mizuno
-/
module
public meta import Mathlib.Tactic.CategoryTheory.Coherence.Datatypes
public import Mathlib.Tactic.CategoryTheory.BicategoricalComp
public import Mathlib.Tactic.Cate... |
2,389 | lean_file_chunk | 14b4a4760bd41abe1b81e9deced48c1cd10dbaa896a9e1f963287d129239c6d6 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Vasily Nesterov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Vasily Nesterov
-/
module
public meta import Mathlib.Tactic.Linarith.Datatypes
public import Mathlib.Tactic.Linarith.Datatypes
public import Mathlib.Tactic.Linarith.Oracle.SimplexAlg... |
14,664 | lean_file_chunk | c0efac6380fd6a32b59897fdb8ca6544ce45bf5f46fe1f6d836ce5071af7d837 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2020 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Y. Lewis
-/
module
public meta import Batteries.Lean.HashMap
public meta import Mathlib.Tactic.Linarith.Datatypes
public import Batteries.Lean.HashMap
public import Mathlib.Ta... |
2,643 | lean_file_chunk | 1d541632dfce489f4d574c0620b02e8fe119e111b13bf6068d8a7f13152861e6 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Vasily Nesterov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Vasily Nesterov
-/
module
public meta import Mathlib.Tactic.Linarith.Oracle.SimplexAlgorithm.Datatypes
public import Mathlib.Tactic.Linarith.Oracle.SimplexAlgorithm.Datatypes
/-!
# ... |
4,871 | lean_file_chunk | 52becf063546b5351601519736d0a2c205cf661a2af3247d458262c472c5901f | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Vasily Nesterov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Vasily Nesterov
-/
module
public meta import Mathlib.Tactic.Linarith.Oracle.SimplexAlgorithm.Datatypes
public import Mathlib.Tactic.Linarith.Oracle.SimplexAlgorithm.Datatypes
/-!
# ... |
4,559 | lean_file_chunk | 45e968c786ac1dfb273b4d0b01d0a0f64a93b3059be482830bd7daeb77f986a4 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Vasily Nesterov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Vasily Nesterov
-/
module
public meta import Lean.Meta.Basic
public import Mathlib.Tactic.Linarith.Oracle.SimplexAlgorithm.Gauss
public import Mathlib.Tactic.Linarith.Oracle.SimplexA... |
5,086 | lean_file_chunk | 69ad51517312830902d3d2e2ae9cec104301cd64f8eeef3e21070cef9af3e6f2 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Vasily Nesterov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Vasily Nesterov
-/
module
public import Mathlib.Init
public meta import Std.Data.HashMap.Basic
/-!
# Datatypes for the Simplex Algorithm implementation
-/
public meta section
name... |
1,921 | lean_file_chunk | f8d67389389a794a12b44d3e52c56e07f02072a720818af3982619df6b1878ad | 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, Yury Kudryashov
-/
module
public import Mathlib.Order.Bounds.Image
public import Mathlib.Order.Hom.Set
/-!
# Order isomorphisms and bounds.
-/
public section
open S... |
16,090 | lean_file_chunk | 68d4b24f16d74c8b709a7940ace50cd98a41ad4de195892eaa45171f08cce602 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2017 Paul Lezeau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Yury Kudryashov, Paul Lezeau
-/
module
public import Mathlib.Data.Set.NAry
public import Mathlib.Order.Bounds.Basic
/-!
# Images of upper/lower bounds under monotone fu... |
23,998 | lean_file_chunk | 8ad385fce894b829c93f8ff687cb94ab7b105e710c8a5db38fced393089526ba | 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, Yury Kudryashov
-/
module
public import Mathlib.Order.Bounds.Defs
public import Mathlib.Order.Directed
public import Mathlib.Order.BoundedOrder.Monotone
public import ... |
4,671 | lean_file_chunk | 82c6c4977a9bcb40d0adf97665c9ba6dd486107a6b5d322bdfe1f9d5ddd30449 | lean_source_file | pkg_mathlib_source_file_chunks | theorem isLUB_lt_iff (ha : IsLUB s a) : a < b ↔ ∃ c ∈ upperBounds s, c < b :=
⟨fun hb => ⟨a, ha.1, hb⟩, fun ⟨_, hcs, hcb⟩ => lt_of_le_of_lt (ha.2 hcs) hcb⟩
theorem le_of_isLUB_le_isGLB {x y} (ha : IsGLB s a) (hb : IsLUB s b) (hab : b ≤ a) (hx : x ∈ s)
(hy : y ∈ s) : x ≤ y :=
calc
x ≤ b := hb.1 hx
_ ≤ a... |
2,636 | lean_file_chunk | 0c81aadf442d233714732d0ddad595ca6ef7f286c052fce19bed063817f01c52 | 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, Yury Kudryashov
-/
module
public import Mathlib.Data.Set.Defs
public import Mathlib.Tactic.ToDual
/-!
# Definitions about upper/lower bounds
In this file we define:
... |
1,572 | lean_file_chunk | 36f5ec9c296872a217134b75e75ee328e5096ce9152600936b4b6e1e9d05a529 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2024 Christopher Hoskin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Christopher Hoskin
-/
module
public import Mathlib.Data.Set.Lattice.Image
/-!
# Unions and intersections of bounds
Some results about upper and lower bounds over collections of ... |
3,637 | lean_file_chunk | 3f8240e5e6839da7e85f6cbad3c175a20a5b09008edbeb0e93129d9b59783249 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2020 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson
-/
module
public import Mathlib.Data.Set.Finite.Lattice
public import Mathlib.Order.Atoms
public import Mathlib.Order.Interval.Finset.Defs
public import Mathlib.Order.P... |
6,006 | lean_file_chunk | e0b34c67368436b8bea9cc814e34ca75f3eff53f04feea3a85d2796152ac2f10 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies
-/
module
public import Mathlib.Data.Set.Finite.Basic
public import Mathlib.Order.Minimal
/-!
# Finite preorders and finite sets in a preorder
This file shows that non-em... |
15,241 | lean_file_chunk | 9684f8bcb29b598aea6785b7b7ae147579454bf41dc0b380a5bf35ea6214b72a | 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
-/
module
public import Mathlib.Data.Set.Notation
public import Mathlib.Data.Set.Pairwise.Basic
public import Mathlib.Data.SetLike.Basic
public import Mathlib.Order.Dir... |
3,019 | lean_file_chunk | b32814c528b665effb50976c083640a75739e2ebc88e705d59d5013388d3019c | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2021 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Aaron Anderson
-/
module
public import Mathlib.Data.Finsupp.Defs
/-!
# Pointwise order on finitely supported functions
This file lifts order structures on `M` to `ι ... |
4,210 | lean_file_chunk | 5e4900d22e7cc05e8547b7ab914371820918fac87194fcfeddd9a10cfe5beea1 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Yan Yablonovskiy. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yan Yablonovskiy
-/
module
public import Mathlib.Data.Real.Basic
public import Mathlib.Order.CompleteBooleanAlgebra
public import Mathlib.Order.Fin.Basic
public import Mathlib.Order... |
9,826 | lean_file_chunk | 3b069823f46bcc6a89a3eb3d2880c569d965c2da873ff7808c206c732d83c7b9 | lean_source_file | pkg_mathlib_source_file_chunks | /-
Copyright (c) 2025 Yan Yablonovskiy. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yan Yablonovskiy
-/
module
public import Mathlib.Order.Hom.Basic
/-!
# Order types
Order types are defined as the quotient of linear orders under order isomorphism.
They are preor... |
6,888 | lean_file_chunk | 03f6548bfc9700c942f6136ed354dd38598e4c9465f87983bef3eca14b165b29 | 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.GaloisConnection.Basic
/-!
# Heyting regular elements
This file defines Heyting regular elements, elements of a Heyting algebra that... |
4,726 | lean_file_chunk | 62276fd06a3f96c5b152ec45b348b37db1585cbb9a6b5e7b443eaa0716ed3ac6 | 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.BooleanAlgebra.Basic
public import Mathlib.Tactic.Common
/-!
# Co-Heyting boundary
The boundary of an element of a co-Heyting algebr... |
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