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/- Copyright (c) 2019 Kim Morrison. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Kim Morrison, Mario Carneiro -/ module public meta import Mathlib.Control.Basic public import Mathlib.Data.Finset.Attr public import Mathlib.Tactic.NormNum /-! # Case bash on variables...
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/- 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 Batteries.Tactic.PermuteGoals public import Mathlib.Tactic.Push /-! # The `by_cases!` tactic The `by_cases!` tactic is a variant of the `b...
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/- Copyright (c) 2022 Arthur Paulino. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Arthur Paulino -/ module public import Mathlib.Init /-! # Defines the `swap_var` tactic Swap the names of two hypotheses. -/ public meta section open Lean Meta Elab.Tactic namesp...
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/- Copyright (c) 2022 Jireh Loreaux. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Jireh Loreaux -/ module public import Mathlib.Init public meta import Lean.Elab.Tactic.Basic public meta import Lean.Elab.SyntheticMVars /-! # The `type_check` tactic Define the `type...
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/- Copyright (c) 2025 Vasilii Nesterov. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Vasilii Nesterov -/ module import all Lean.Elab.Tactic.Induction public import Mathlib.Data.PNat.Basic public meta import Mathlib.Tactic.ToAdditive /-! # `pnat_to_nat` This file ...
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/- Copyright (c) 2022 Moritz Doll. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Moritz Doll -/ module public import Mathlib.Init /-! # `rsuffices` tactic The `rsuffices` tactic is an alternative version of `suffices`, that allows the usage of any syntax that would...
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/- Copyright (c) 2023 Kyle Miller. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Kyle Miller -/ module public meta import Lean.Elab.App public meta import Lean.Elab.BuiltinNotation public import Mathlib.Tactic.ToExpr /-! # Elaborator for functorial binary operators ...
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/- Copyright (c) 2022 Siddhartha Gadgil. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Gabriel Ebner, Siddhartha Gadgil, Jannis Limperg -/ module public import Mathlib.Init /-! # The `recover` tactic modifier This defines the `recover` tactic modifier, which can be...
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/- Copyright (c) 2018 Johan Commelin. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Johan Commelin, Reid Barton, Simon Hudon, Thomas Murrills, Mario Carneiro -/ module public meta import Qq public meta import Mathlib.Util.AtomM public import Mathlib.Data.List.TFAE -...
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/- Copyright (c) 2021 Gabriel Ebner. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Gabriel Ebner -/ module public meta import Lean.Elab.Tactic.ElabTerm public import Mathlib.Init /-! # The `rename'` tactic The `rename'` tactic renames one or several hypotheses. -/ ...
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module -- shake: keep-all public meta import Lean.Meta.Tactic.TryThis public meta import Mathlib.Lean.Expr.Basic import Mathlib.Tactic.Linter.DeprecatedModule public import Mathlib.Init deprecated_module (since := "2025-11-25")
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/- Copyright (c) 2018 Johannes Hölzl. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Johannes Hölzl, David Renshaw -/ module public meta import Lean.Elab.DeclarationRange public meta import Lean.Meta.Tactic.Cases public meta import Mathlib.Lean.Meta public meta import...
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/- Copyright (c) 2023 Thomas Murrills. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Thomas Murrills -/ module public import Mathlib.Init public meta import Lean.Elab.Tactic.Basic public meta import Lean.Meta.Tactic.Util /-! # Fail if no progress This implements th...
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/- 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.Tactic.ArithMult.Init /-! # Multiplicativity We define the `arith_mult` tactic using aesop -/ public meta section namespace Ari...
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/- Copyright (c) 2024 Eric Wieser. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Eric Wieser, Kyle Miller, Jovan Gerbscheid -/ module public import Mathlib.Init /-! # The `fast_instance%` and `inferInstanceAs%` term elaborators -/ meta section namespace Mathlib.El...
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/- Copyright (c) 2024 Eric Wieser. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Eric Wieser -/ module public import Mathlib.Init public import Qq.Macro /-! # The `eval%` term elaborator This file provides the `eval% x` term elaborator, which evaluates the constant...
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/- Copyright (c) 2018 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.Meta.Tactic.Apply public meta import Lean.Meta.Tactic.Assumption public meta import Lean.Meta.MatchUtil public meta import Lean.Meta.Tactic....
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/- Copyright (c) 2021 Gabriel Ebner. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Gabriel Ebner -/ module public import Mathlib.Tactic.Eqns public import Mathlib.Util.TermReduce /-! # Irreducible definitions This file defines an `irreducible_def` command, which wo...
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/- Copyright (c) 2023 Damiano Testa. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Damiano Testa -/ module public import Mathlib.Init public meta import Lean.Elab.Tactic.ElabTerm public meta import Lean.Meta.Tactic.TryThis /-! # Tactic `change? term` This tactic is...
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/- Copyright (c) 2021 Gabriel Ebner. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Gabriel Ebner, Mario Carneiro -/ module public import Mathlib.Util.WithWeakNamespace /-! # `scoped[NS]` syntax This is a replacement for the `localized` command in mathlib. It is sim...
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/- Copyright (c) 2022 Arthur Paulino. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Arthur Paulino, Edward Ayers, Mario Carneiro -/ module public import Mathlib.Init public meta import Lean.Elab.Binders public meta import Lean.Elab.SyntheticMVars public meta import L...
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/- Copyright (c) 2024 Eric Wieser. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Eric Wieser -/ module public import Mathlib.Init /-! # The `ofNat()` macro -/ public meta section /-- This macro is a shorthand for `OfNat.ofNat` combined with `no_index`. When writi...
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/- 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.CollectFacts public meta import Mathlib.Tactic.Order.Graph.Basic public import Mathlib.Tactic.ByContra public impo...
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module public import Mathlib.Tactic.Monotonicity.Basic public import Mathlib.Tactic.Monotonicity.Lemmas
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/- Copyright (c) 2018 Johannes Hölzl. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Johannes Hölzl, Mario Carneiro, Johan Commelin, Reid Barton, Thomas Murrills -/ module public meta import Lean.Meta.Tactic.Cases import all Lean.MetavarContext public import Mathlib.T...
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/- Copyright (c) 2023 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Gabriel Ebner -/ module public import Mathlib.Init public meta import Lean.PrettyPrinter.Delaborator.Builtins /-! # Attribute to pretty-print universe level parameters by defa...
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/- Copyright (c) 2023 Eric Wieser. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Eric Wieser -/ module public import Mathlib.Init public meta import Lean.Meta.Eqns public meta import Batteries.Lean.NameMapAttribute public meta import Lean.Elab.Exception public meta i...
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/- Copyright (c) 2022 Joshua Clune. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Joshua Clune -/ module public meta import Lean.Elab.Tactic.ElabTerm public import Mathlib.Init /-! Defines the `inhabit α` tactic, which tries to construct an `Inhabited α` instance, c...
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/- Copyright (c) 2023 Kyle Miller. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Kyle Miller -/ module public import Mathlib.Init /-! # `ToExpr` instances for Mathlib -/ public meta section namespace Mathlib open Lean set_option autoImplicit true in deriving inst...
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/- Copyright (c) 2021 Mario Carneiro. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Mario Carneiro, Kyle Miller -/ module -- shake: keep-all, shake: keep-downstream public meta import Lean public import Mathlib.Tactic.PPWithUniv public import Mathlib.Tactic.ExtendDo...
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/- Copyright (c) 2022 Joshua Clune. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Joshua Clune -/ module public import Mathlib.Init public meta import Lean.Elab.Tactic.ElabTerm /-! # The `clear*` tactic This file provides a variant of the `clear` tactic, which clea...
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/- Copyright (c) 2025 Jovan Gerbscheid. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Jovan Gerbscheid -/ module import all Init.Core -- TODO: for accessing proofs public import Mathlib.Tactic.Translate.ToDual /-! ## `@[to_dual]` attributes for basic types -/ pub...
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/- Copyright (c) 2023 Mac Malone. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Mac Malone, Kyle Miller -/ module public import Mathlib.Init public meta import Lean.Elab.Command public meta import Lean.Elab.DeclUtil public meta import Lean.Meta.Tactic.TryThis public ...
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/- Copyright (c) 2022 Moritz Doll. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Arthur Paulino, Gabriel Ebner, Moritz Doll -/ module public import Mathlib.Init /-! # The `existsi` tactic This file defines the `existsi` tactic: its purpose is to instantiate existenti...
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/- Copyright (c) 2020 Oliver Nash. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Jireh Loreaux, Kim Morrison, Oliver Nash -/ module public import Mathlib.Algebra.Group.Action.Defs -- shake: keep (metaprogram output dependency) public import Mathlib.Tactic.Abel /-! ...
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/- Copyright (c) 2018 Mario Carneiro. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Mario Carneiro, Michail Karatarakis, Kyle Miller -/ module public import Mathlib.Init public meta import Lean.Elab.SyntheticMVars /-! # `clean%` term elaborator Remove identity func...
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/- Copyright (c) 2020 Kim Morrison. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Lucas Allen, Kim Morrison -/ module public meta import Lean.Elab.Tactic.Conv.Basic public import Mathlib.Init /-! ## Introduce the `apply_congr` conv mode tactic. `apply_congr` will a...
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/- Copyright (c) 2018 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.Match public meta import Lean.Elab.Deriving.Basic public meta import Lean.Elab.PreDefinition.Main public import Mathlib.Control.Travers...
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/- Copyright (c) 2023 Adam Topaz. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Adam Topaz -/ module public meta import Lean.Elab.Tactic.ElabTerm public meta import Mathlib.Lean.Meta.Basic public import Mathlib.Init /-! # Apply at A tactic for applying functions at...
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/- Copyright (c) 2022 Dhruv Bhatia. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Dhruv Bhatia, Eric Wieser, Mario Carneiro, Thomas Zhu -/ module public meta import Lean.Elab.Tactic.Basic public import Mathlib.Init /-! # polyrith Tactic The `polyrith` tactic relie...
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/- Copyright (c) 2023 Patrick Massot. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Moritz Doll, Mario Carneiro, Robert Y. Lewis, Patrick Massot -/ module public import Mathlib.Data.Rat.Cast.Order public import Mathlib.Data.Real.Basic public import Mathlib.Tactic.Zif...
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/- Copyright (c) 2018 Simon Hudon. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Simon Hudon, David Renshaw -/ module public import Mathlib.Logic.Basic -- shake: keep (dependency of tactic output) public meta import Qq public meta import Mathlib.Lean.Meta public imp...
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/- Copyright (c) 2021 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.Basic -- shake: keep (Qq output dependency) public meta import Mathlib.Util.AtomM public meta import Qq public import Batteries.T...
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let (e, t₃) ← t₃.mvarId!.intro x; t₃.withContext do applyProof t₃ (Γ.insert x (.fvar e)) p₂ | .em false n => do let A ← mkFreshExprMVarQ q(Prop) let e : Q(Decidable $A) ← liftOption (Γ.find? n) let .true ← Meta.isDefEq (← Meta.inferType e) q(Decidable $A) | failure g.assignIfDefEq q(@Decidable.e...
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/- Copyright (c) 2023 Kyle Miller. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Kyle Miller -/ module public import Mathlib.Logic.Equiv.Defs public meta import Mathlib.Tactic.Simps.Basic /-! # Generating "proxy types" This module gives tools to create an equivalen...
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/- Copyright (c) 2025 Aaron Liu. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Aaron Liu, Wojciech Nawrocki -/ module public meta import Lean.Elab.Tactic.Simp public meta import Lean.Elab.Tactic.Conv.Basic public meta import Lean.Elab.Tactic.Rewrite public import Mat...
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by proof irrelevance, this adds no observable complexity. With `rewrite! +letAbs (castMode := .all)`, casts are inserted whenever necessary. This means that the 'motive is not type correct' error never occurs, at the expense of creating potentially complicated terms. -/ syntax (name := depRewriteSeq) "rewrite!" optCon...
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/- Copyright (c) 2019 Patrick Massot. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Keeley Hoek, Patrick Massot, Kim Morrison -/ module public meta import Mathlib.Lean.Expr.Basic public import Mathlib.Order.Hom.Basic public meta import Mathlib.Tactic.ToDual /-! # Th...
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/- Copyright (c) 2024 Tomas Skrivan. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Tomas Skrivan -/ module public meta import Mathlib.Tactic.FunProp.Decl public meta import Mathlib.Tactic.FunProp.FunctionData public meta import Mathlib.Tactic.FunProp.Mor public meta ...
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/- Copyright (c) 2026 Robin Carlier. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Robin Carlier, Jovan Gerbscheid -/ module public import Mathlib.Init /-! `dsimp% […] t` runs `dsimp […]` on term `t`. If `t` is a proof, then it runs `dsimp […]` on the type of `t` in...
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/- Copyright (c) 2020 Eric Wieser. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Eric Wieser -/ module public import Mathlib.Init public import Batteries.Util.LibraryNote /-! # Documentation for `ext` tactic This file contains a library note on the use of the `ext`...
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/- Copyright (c) 2020 Anne Baanen. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Anne Baanen, Mario Carneiro, Alex J. Best -/ module public import Mathlib.Init /-! # The `simp_rw` tactic This file defines the `simp_rw` tactic: it functions as a mix of `simp` and `r...
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/- Copyright (c) 2022 Yury Kudryashov. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Yury Kudryashov, Mario Carneiro -/ module public import Mathlib.Init public meta import Lean.Elab.Tactic.Basic public meta import Lean.Meta.Tactic.Replace /-! # Infer an optional pa...
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/- Copyright (c) 2023 Moritz Doll. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Moritz Doll -/ module public import Mathlib.Tactic.Continuity.Init /-! # Continuity We define the `continuity` tactic using `aesop`. -/ public meta section attribute [aesop (rule_set...
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/- Copyright (c) 2023 Kyle Miller. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Kyle Miller -/ module public meta import Lean.Elab.Tactic.Config public meta import Lean.Elab.Tactic.RCases public meta import Lean.Meta.Tactic.Assumption public meta import Lean.Meta.Ta...
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def Lean.MVarId.subsingletonHelim? (mvarId : MVarId) : MetaM (Option (List MVarId)) := mvarId.withContext <| observing? do mvarId.checkNotAssigned `subsingletonHelim let some (α, lhs, β, rhs) := (← withReducible mvarId.getType').heq? | failure withSubsingletonAsFast fun elim => do let eqmvar ← mkFre...
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module -- shake: keep-all public import Mathlib.Tactic.Linter.DeprecatedModule deprecated_module (since := "2025-11-09")
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/- Copyright (c) 2022 Ian Benway. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Ian Benway -/ module public import Mathlib.Init public meta import Lean.Elab.Tactic.ElabTerm /-! # The `set` tactic This file defines the `set` tactic and its variant `set!`. `set a :=...
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/- Copyright (c) 2021 Gabriel Ebner. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Gabriel Ebner -/ module public import Mathlib.Init public meta import Lean.Elab.Binders /-! # Macro for spread syntax (`__ := instSomething`) in structures. -/ public meta section o...
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/- Copyright (c) 2023 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Kim Morrison -/ module public import Mathlib.Init public meta import Lean.Elab.Tactic.Basic /-! # The `rw_search` tactic has been removed from Mathlib. -/ public meta section namespa...
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/- 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.Init public meta import Lean.Elab.Tactic.Conv.Pattern /-! # `casesm`, `cases_type`, `constructorm` tactics These tactics implement rep...
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/- 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.Init public meta import Lean.Elab.Tactic.ElabTerm public meta import Lean.Meta.Eval /-! # Defines the `trace` tactic. -/ public meta s...
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/- 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 import Mathlib.Tactic.GRewrite.Elab /-! # The generalized rewriting tactic The `grw`/`grewrit...
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/- This is the `Linter`s file: it imports files defining linters. Most syntax linters, in particular the ones enabled by default, are imported in `Mathlib.Init`; this file contains all linters not imported in that file. This file is ignored by `shake`: * it is in `ignoreAll`, meaning that all its imports are considere...
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/- Copyright (c) 2022 Kim Morrison. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Kim Morrison, Kyle Miller -/ module public import Mathlib.Data.Nat.Notation public import Mathlib.Tactic.CongrExclamation /-! # The `convert` tactic. The `exact e` and `refine e` tact...
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/- Copyright (c) 2023 Jireh Loreaux. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Jireh Loreaux -/ module public meta import Mathlib.Tactic.Basic public import Mathlib.Order.Filter.Basic public meta import Mathlib.Tactic.ToAdditive public meta import Mathlib.Tactic....
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/- Copyright (c) 2019 Patrick Massot. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Arthur Paulino, Patrick Massot -/ module public meta import Lean.Elab.Tactic.Location public meta import Mathlib.Lean.Expr.Basic public import Mathlib.Util.Tactic /-! # The `rename_b...
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/- Copyright (c) 2022 Moritz Doll. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Moritz Doll, Mario Carneiro, Robert Y. Lewis -/ module public import Mathlib.Data.Int.Cast.Basic public import Mathlib.Order.Basic public meta import Mathlib.Tactic.ToAdditive public met...
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/- Copyright (c) 2025 Lenny Taelman. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Lenny Taelman -/ module public import Mathlib.Data.Set.SymmDiff -- shake: keep (Qq dependency) public meta import Mathlib.Tactic.ToDual /-! # The `tauto_set` tactic -/ public meta s...
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/- Copyright (c) 2023 Kim Morrison. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Kim Morrison -/ module public import Mathlib.Init public meta import Lean.Meta.Tactic.TryThis public meta import Qq.Match public meta import Mathlib.Lean.Elab.InfoTree public import Bat...
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/- Copyright (c) 2020 Sébastien Gouëzel. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Sébastien Gouëzel, Mario Carneiro -/ module public import Mathlib.Tactic.Nontriviality.Core /-! # The `nontriviality` tactic. -/ public meta section
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/- 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.Tactic.GCongr.CoreAttrs public import Mathlib.Tactic.Hint /-! # Setup for the `gcongr` tactic The co...
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/- Copyright (c) 2022 Abby J. Goldberg. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Abby J. Goldberg, Mario Carneiro -/ module public import Mathlib.Tactic.Ring /-! # `linear_combination'` Tactic In this file, the `linear_combination'` tactic is created. This ta...
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/- Copyright (c) 2021 Gabriel Ebner. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Gabriel Ebner -/ module public import Mathlib.Init /-! # Defines the `sudo set_option` command. Allows setting undeclared options. -/ public meta section open Lean Elab private de...
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module public import Mathlib.Tactic.Positivity.Basic public import Mathlib.Tactic.Positivity.Finset
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/- Copyright (c) 2022 Moritz Doll. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Moritz Doll -/ module public import Mathlib.Init /-! # `nth_rewrite` tactic The tactic `nth_rewrite` and `nth_rw` are variants of `rewrite` and `rw` that only performs the `n`th possib...
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/- Copyright (c) 2023 Sébastien Gouëzel. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Alex J. Best, Mac Malone -/ module public import Mathlib.Init public meta import Lean.Elab.Declaration /-! # Suppressing compilation to executable code in a file or in a section ...
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/- Copyright (c) 2022 Evan Lohn. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Evan Lohn, Mario Carneiro -/ module public import Mathlib.Init /-! # The `substs` macro The `substs` macro applies the `subst` tactic to a list of hypothesis, in left to right order. -/ ...
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/- Copyright (c) 2024 Kyle Miller. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Kyle Miller -/ module public import Mathlib.Init public meta import Lean.Meta.Tactic.TryThis /-! # Adaptation notes This file defines a `#adaptation_note` command. Adaptation notes are...
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/- Copyright (c) 2018 Mario Carneiro. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Mario Carneiro, Kim Morrison -/ module public import Mathlib.Util.AtomM.Recurse public import Mathlib.Tactic.NormNum.Basic public import Mathlib.Tactic.TryThis public meta import Math...
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/- 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.Util.AddRelatedDecl public import Mathlib.Tactic.Push public import Mathlib.Tactic.Translate.Attributes /-! # The `to_fun` attribut...
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/- Copyright (c) 2023 Kyle Miller. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Kyle Miller -/ module public import Mathlib.Data.Fintype.OfMap -- shake: keep (metaprogram output dependency) public import Mathlib.Tactic.ProxyType public meta import Mathlib.Tactic.To...
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/- Copyright (c) 2022 Alex J. Best. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Alex J. Best -/ module public import Mathlib.Init public meta import Lean.Parser.Term public meta import Lean.Parser.Do public meta import Lean.Elab.Command /-! # The `unset_option` co...
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/- 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 meta import Mathlib.Tactic.Bound.Attribute public meta import Mathlib.Tactic.NormNum.Core public import Mathlib.Tactic.Bound.Attr...
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/- Copyright (c) 2022 Hanting Zhang. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Kim Morrison, Hanting Zhang -/ module public meta import Mathlib.Tactic.Core public meta import Mathlib.Lean.Expr.Basic public import Mathlib.Data.Finset.Attr public import Mathlib.Dat...
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/- Copyright (c) 2022 Joshua Clune. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Joshua Clune -/ module public import Mathlib.Init public meta import Lean.Elab.Tactic.ElabTerm /-! # `clear!` tactic -/ public meta section namespace Mathlib.Tactic open Lean Meta El...
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module public import Mathlib.Tactic.CancelDenoms.Core public import Mathlib.Tactic.NormNum.Ineq
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/- Copyright (c) 2021 Gabriel Ebner. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Gabriel Ebner -/ module public import Mathlib.Init /-! # Additional coercion notation Defines notation for coercions. 1. `↑ t` is defined in core. 2. `(↑)` is equivalent to the eta-r...
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/- Copyright (c) 2025 Heather Macbeth. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Heather Macbeth -/ module public import Mathlib.Tactic.FieldSimp public import Mathlib.Tactic.Ring.Basic /-! # A tactic for proving algebraic goals in a field This file contains t...
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/- Copyright (c) 2023 Damiano Testa. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Damiano Testa -/ module public import Mathlib.Init public meta import Lean.DocString /-! # `extend_doc` command In a file where declaration `decl` is defined, writing ```lean extend_...
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/- Copyright (c) 2023 Kim Morrison. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Kim Morrison -/ -- First import Aesop, Qq, and Plausible module -- shake: keep-all, shake: keep-downstream public import Aesop public import Qq public import Plausible -- Import comm...
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/- Copyright (c) 2023 Adam Topaz. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Adam Topaz -/ module public meta import Mathlib.Lean.Expr.Basic public import Mathlib.Logic.Equiv.Defs public meta import Mathlib.Tactic.Simps.Basic /-! # Associativity of products This...
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/- Copyright (c) 2023 Jireh Loreaux. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Jireh Loreaux -/ module public import Aesop.Frontend public meta import Batteries.Util.LibraryNote public import Mathlib.Init /-! # SetLike Rule Set This module defines the `SetLike`...
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/- Copyright (c) 2022 Mario Carneiro. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Mario Carneiro, Heather Macbeth -/ module public meta import Mathlib.Data.Int.ModEq public import Mathlib.Data.Int.ModEq public import Mathlib.Tactic.HaveI /-! # `mod_cases` tactic ...
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/- Copyright (c) 2024 Moritz Firsching. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Damiano Testa, Moritz Firsching -/ module public meta import Lean.DeclarationRange public meta import Lean.ResolveName -- Import this linter explicitly to ensure that -- this file h...
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/- Copyright (c) 2019 Sébastien Gouëzel. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Sébastien Gouëzel, David Renshaw, Heather Macbeth, Arend Mellendijk, Michael Rothgang -/ module public meta import Mathlib.Data.Ineq public import Mathlib.Tactic.FieldSimp.Attr pub...
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catch _ => pure ⟨x, ⟨.plus, q(rfl)⟩, ← baseCase x true⟩ /- normalize a subtraction: `a - b` -/ | ~q(HSub.hSub (self := @instHSub _ $i) $a $b) => try let _i ← synthInstanceQ q(Field $M) assumeInstancesCommute let ⟨_, ⟨g₁, pf_sgn₁⟩, l₁, pf₁⟩ ← normalize disch iM a let ⟨_, ⟨g₂, pf_sgn₂⟩, l₂...
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/- Copyright (c) 2023 Kim Morrison. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Kim Morrison -/ module public import Lean.Meta.Tactic.TryThis public meta import Batteries.Control.Nondet.Basic public import Batteries.Linter.UnreachableTactic public import Mathlib.Ta...
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/- Copyright (c) 2022 Moritz Doll. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Moritz Doll, Mario Carneiro, Robert Y. Lewis -/ module public import Mathlib.Algebra.Order.Ring.Cast public import Mathlib.Algebra.Order.Ring.Unbundled.Rat public import Mathlib.Algebra....
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/- Copyright (c) 2023 Kyle Miller. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Kyle Miller, Thomas R. Murrills -/ module -- Import this linter explicitly to ensure that -- this file has a valid copyright header and module docstring. public import Mathlib.Tactic.Lin...