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public import Mathlib.Topology.Category.Profinite.Nobeling.Basic public import Mathlib.Topology.Category.Profinite.Nobeling.Induction public import Mathlib.Topology.Category.Profinite.Nobeling.Span public import Mathlib.Topology.Category.Profinite.Nobeling.Successor public import Mathlib.Topology.Category.Profinite.Nob...
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import Archive.Arithcc import Archive.Examples.Eisenstein import Archive.Examples.IfNormalization.Result import Archive.Examples.IfNormalization.Statement import Archive.Examples.IfNormalization.WithoutAesop import Archive.Examples.Kuratowski import Archive.Examples.MersennePrimes import Archive.Examples.PropEncodable ...
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import docs.Conv.Guide import docs.Conv.Introduction
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import Lake open Lake DSL /-! ## Mathlib dependencies on upstream projects -/ require "leanprover-community" / "batteries" @ git "v4.30.0-rc2" require "leanprover-community" / "Qq" @ git "v4.30.0-rc2" require "leanprover-community" / "aesop" @ git "v4.30.0-rc2" require "leanprover-community" / "proofwidgets" @ git "...
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import Counterexamples.AharoniKorman import Counterexamples.CanonicallyOrderedCommSemiringTwoMul import Counterexamples.CharPZeroNeCharZero import Counterexamples.CliffordAlgebraNotInjective import Counterexamples.Cyclotomic105 import Counterexamples.DimensionPolynomial import Counterexamples.DirectSumIsInternal import...
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module -- shake: keep-all, shake: keep-downstream public import Lean.Linter.Sets -- for the definition of linter sets public import Lean.LibrarySuggestions.Default -- for `+suggestions` modes in tactics public import Mathlib.Lean.Linter -- linter utilities; will be transitively imported in #31134 public import Mathli...
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module -- shake: keep-all public import Mathlib.Tactic.Abel public import Mathlib.Tactic.AdaptationNote public import Mathlib.Tactic.Algebra.Basic public import Mathlib.Tactic.Algebra.Lemmas public import Mathlib.Tactic.Algebraize public import Mathlib.Tactic.ApplyAt public import Mathlib.Tactic.ApplyCongr public imp...
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/- Copyright (c) 2025 Jeremy Tan. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Jeremy Tan -/ import Mathlib.Analysis.InnerProductSpace.PiL2 import Mathlib.Combinatorics.SimpleGraph.UnitDistance.Basic /-! # A simple planar unit-distance embedding of the Heawood graph...
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/- Copyright (c) 2024 Seewoo Lee. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Seewoo Lee -/ import Mathlib.Analysis.SpecialFunctions.Pow.NNReal import Mathlib.NumberTheory.Real.Irrational /-! # An irrational power of an irrational number need not be irrational Thi...
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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 -/ import Mathlib.Analysis.Real.Cardinality import Mathlib.Order.Interval.Set.Monotone import Mathlib.Topology.Baire.Lemmas import Mathlib.Topology.Baire.LocallyCompac...
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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 -/ import Mathlib.LinearAlgebra.QuadraticForm.Basic /-! # `QuadraticForm R M` and `Subtype LinearMap.IsSymm` are distinct notions in characteristic 2 The main result of this...
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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 -/ import Mathlib.Logic.Basic import Mathlib.Data.Set.Defs /-! # Girard's paradox Girard's paradox is a proof that `Type : Type` entails a contradiction. We can't say ...
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/- Copyright (c) 2022 Damiano Testa. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Damiano Testa, Eric Wieser -/ import Mathlib.Algebra.CharP.Lemmas import Mathlib.Algebra.Ring.PUnit /-! # `CharP R 0` and `CharZero R` need not coincide for semirings For rings, the t...
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/- Copyright (c) 2021 Eric Wieser. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Eric Wieser -/ import Mathlib.Algebra.CharP.Pi import Mathlib.Algebra.CharP.Quotient import Mathlib.LinearAlgebra.CliffordAlgebra.Contraction import Mathlib.RingTheory.MvPolynomial.Basic ...
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/- Copyright (c) 2025 Weiyi Wang. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Weiyi Wang -/ import Mathlib.Analysis.Real.Pi.Bounds import Mathlib.Topology.Algebra.InfiniteSum.TsumUniformlyOn /-! # Weierstrass function: a function that is continuous everywhere but d...
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/- Copyright (c) 2025 Daniele Bolla. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Daniele Bolla, David Loeffler -/ import Mathlib.Analysis.SpecialFunctions.Trigonometric.Inverse import Mathlib.Topology.Connected.PathConnected /-! # The "topologist's sine curve" is c...
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/- Copyright (c) 2025 Jingting Wang. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Jingting Wang -/ import Mathlib.RingTheory.KrullDimension.Polynomial import Mathlib.RingTheory.KrullDimension.LocalRing import Mathlib.FieldTheory.RatFunc.AsPolynomial import Mathlib.Ri...
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/- Copyright (c) 2022 Riccardo Brasca. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Riccardo Brasca -/ import Mathlib.CategoryTheory.Abelian.Pseudoelements import Mathlib.Algebra.Category.ModuleCat.Biproducts /-! # Pseudoelements and pullbacks Borceux claims in Prop...
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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 -/ import Mathlib.Analysis.Complex.Tietze import Mathlib.Topology.MetricSpace.HausdorffAlexandroff /-! # Peano curve This file proves the existence of a Peano curve...
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/- Copyright (c) 2024 Bhavik Mehta. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Bhavik Mehta -/ import Mathlib.Algebra.Order.Field.Basic import Mathlib.Algebra.Order.Field.Rat import Mathlib.Data.Setoid.Partition import Mathlib.Order.Filter.AtTopBot.Basic import Mat...
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variable {f : SpinalMap C} /-! ### Explicit chains In this section we construct an explicit chain in ℕ × ℕ that will be useful later. These comprise part of 5.8(iv) from [hollom2025]: the full strength of that observation is not actually needed. -/ section make_chains open Finset /-- An explicit contiguous chain bet...
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have h0j : h(x0 n C, y0 n C, n + 1) ≤ j := hj'.trans' (by simp [ha, hb]) have : line h(a, b, n + 1) = line h(x0 n C, a + b - x0 n C, n + 1) := by simp; lia -- Then we have `f(a, b, n + 1) = f(x0, a + b - x0, n + 1)` since they are at the same line have : f h(a, b, n + 1) = f h(x0 n C, a + b - x0 n C, ...
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/- Copyright (c) 2025 Junyan Xu. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Junyan Xu -/ import Mathlib.Algebra.GroupWithZero.TransferInstance import Mathlib.Algebra.Order.Ring.Nat import Mathlib.Algebra.Ring.Equiv import Mathlib.RingTheory.Polynomial.Opposites /-...
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/- Copyright (c) 2022 Damiano Testa. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Damiano Testa -/ import Mathlib.Algebra.Group.UniqueProds.Basic import Mathlib.Algebra.MonoidAlgebra.Defs import Mathlib.Algebra.Ring.GeomSum import Mathlib.Data.Finsupp.Lex import Math...
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/- Copyright (c) 2021 Sébastien Gouëzel. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Sébastien Gouëzel -/ import Mathlib.Analysis.Normed.Module.HahnBanach import Mathlib.MeasureTheory.Integral.Bochner.Set import Mathlib.MeasureTheory.Measure.Lebesgue.Basic import Ma...
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φ (f Hcont x) = φ.toBoundedAdditiveMeasure.continuousPart univ := by set ψ := φ.toBoundedAdditiveMeasure have : φ (f Hcont x) = ψ (spf Hcont x) := rfl have U : univ = spf Hcont x ∪ univ \ spf Hcont x := by simp only [union_univ, union_diff_self] rw [this, eq_add_parts, discretePart_apply, hx, ψ.empty, zero_add,...
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/- Copyright (c) 2021 Eric Wieser. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Eric Wieser, Kevin Buzzard -/ import Mathlib.Algebra.DirectSum.Module import Mathlib.Algebra.Group.ConjFinite import Mathlib.Data.Fintype.Lattice import Mathlib.Tactic.FinCases /-! # Not...
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/- Copyright (c) 2025 Jeremy Tan. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Jeremy Tan, Heather Macbeth -/ import Mathlib.Tactic.LinearCombination import Mathlib.Tactic.Positivity /-! # The Motzkin polynomial The Motzkin polynomial is a well-known counterexample...
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/- Copyright (c) 2025 Snir Broshi. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Snir Broshi, Michael Stoll -/ import Mathlib.NumberTheory.FLT.Three /-! # Euler's sum of powers conjecture Euler's sum of powers conjecture says that at least n nth powers of positive i...
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/- Copyright (c) 2024 Filippo A. E. Nuccio. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Filippo A. E. Nuccio -/ import Mathlib.Analysis.SpecificLimits.Basic /-! # Discrete uniformities and discrete topology Exactly as different metrics can induce equivalent topolog...
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/- Copyright (c) 2021 Damiano Testa. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Damiano Testa -/ import Mathlib.Algebra.Ring.Subsemiring.Order import Mathlib.Data.ZMod.Basic /-! # A canonically ordered commutative semiring where multiplication by 2 is not injectiv...
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/- Copyright (c) 2023 Martin Dvorak. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Martin Dvorak -/ import Mathlib.Algebra.Order.Monoid.Defs import Mathlib.Order.BoundedOrder.Lattice /-! # Do not combine OrderedCancelAddCommMonoid with BoundedOrder This file shows t...
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/- Copyright (c) 2022 Jujian Zhang. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Johan Commelin, Eric Wieser, Jujian Zhang -/ import Mathlib.Algebra.Divisibility.Finite import Mathlib.Algebra.Divisibility.Prod import Mathlib.Data.Fintype.Units import Mathlib.RingTheo...
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/- Copyright (c) 2022 Pierre-Alexandre Bazin. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Pierre-Alexandre Bazin -/ import Mathlib.Analysis.Seminorm /-! # The lattice of seminorms is not distributive We provide an example of three seminorms over the ℝ-vector space...
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/- Copyright (c) 2021 Riccardo Brasca. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Riccardo Brasca -/ import Mathlib.RingTheory.Polynomial.Cyclotomic.Basic import Mathlib.Tactic.NormNum.Prime /-! # Not all coefficients of cyclotomic polynomials are -1, 0, or 1 We ...
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/- Copyright (c) 2022 Yaël Dillies. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Yaël Dillies -/ import Mathlib.Algebra.Order.Round import Mathlib.Algebra.Order.Group.PiLex import Mathlib.Algebra.Order.Hom.Ring import Mathlib.Algebra.Polynomial.Reverse /-! # Floors ...
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/- Copyright (c) 2025 Junyan Xu. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Junyan Xu -/ import Mathlib.Algebra.TrivSqZeroExt.Basic import Mathlib.Data.DFinsupp.Module import Mathlib.RingTheory.PicardGroup /-! # A class of examples of invertible modules that are n...
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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 -/ import Mathlib.Algebra.Polynomial.Monic /-! # `Monic` does not necessarily imply `IsRegular` in a `Semiring` with no opposites This counterexample shows that the hyp...
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/- Copyright (c) 2025 Yury G. Kudryashov. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Yury G. Kudryashov -/ import Mathlib.Analysis.Real.Cardinality /-! # Example of a linear order which is a separable space but is not a second countable topology In this file we p...
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/- Copyright (c) 2023 Arthur Paulino. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Arthur Paulino, Jon Eugster -/ import Std.Data.TreeSet import Cache.Lean variable {α : Type} open Lean namespace Cache.IO open System (FilePath) /-- Target directory for build fil...
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/- Copyright (c) 2023 Arthur Paulino. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Arthur Paulino -/ import Batteries.Data.String.Matcher import Cache.Hashing import Cache.Init import Lake.Load.Manifest namespace Cache.Requests open System (FilePath) /-- The full...
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(isMathlibRoot : Bool := false) (mathlibDepPath : FilePath := ".") : IO Nat := do let hashMap ← if forceDownload then pure hashMap else hashMap.filterExists false if hashMap.isEmpty then IO.println "No files to download"; return 0 let size := hashMap.size IO.FS.createDirAll IO.CACHEDIR IO.println s!"Attemptin...
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/- Copyright (c) 2025 Jon Eugster. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Jon Eugster, Arthur Paulino -/ import Lean.Data.Json import Lean.Util.Path /-! # Helper Functions This file contains helper functions that could potentially be upstreamed to Lean or re...
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/- Copyright (c) 2023 Arthur Paulino. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Arthur Paulino -/ namespace Cache.Requests open System (FilePath) -- Cloudflare cache may be flaky: https://leanprover.zulipchat.com/#narrow/channel/113488-general/topic/The.20cache...
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/- Copyright (c) 2023 Arthur Paulino. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Arthur Paulino, Jon Eugster -/ import Cache.IO import Lean.Elab.ParseImportsFast namespace Cache.Hashing open Lean IO open System hiding SearchPath /-- The `HashMemo` contains all ...
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/- Copyright (c) 2023 Arthur Paulino. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Arthur Paulino, Jon Eugster -/ import Cache.Requests def help : String := "Mathlib4 caching CLI Usage: cache [OPTIONS] [COMMAND] Commands: # No privilege required get [ARGS] ...
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/- Copyright (c) 2026 Jeremy Tan. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Jeremy Tan -/ import Mathlib.Order.BooleanAlgebra.Basic import Mathlib.Tactic.NthRewrite /-! # Minimal Sheffer stroke axioms for Boolean algebra The Sheffer stroke `a | b` is `(a ⊓ b)ᶜ`,...
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/- Copyright (c) 2019 Reid Barton, Johan Commelin, Jesse Michael Han, Chris Hughes, Robert Y. Lewis, Patrick Massot. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Reid Barton, Johan Commelin, Jesse Michael Han, Chris Hughes, Robert Y. Lewis, Patrick Massot -/ import...
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/- Copyright (c) 2023 Jeremy Tan. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Jeremy Tan, Thomas Browning -/ import Mathlib.GroupTheory.Perm.Cycle.Type import Mathlib.Tactic.Linarith /-! # Zagier's "one-sentence proof" of Fermat's theorem on sums of two squares "T...
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/- Copyright (c) 2025 Jan Förster, Leon Müller, Luis Sand, and Junyan Xu. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Jan Förster, Leon Müller, Luis Sand, Junyan Xu -/ import Mathlib.Data.Set.Card import Mathlib.Topology.Closure /-! # The Kuratowski closure-complem...
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/- Copyright (c) 2023 Floris van Doorn. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Johan Commelin, Sébastien Gouëzel, Patrick Massot, Ruben Van de Velde, Floris van Doorn, Junyan Xu -/ import Mathlib.Algebra.MvPolynomial.Funext import Mathlib.Analysis.Analytic.Poly...
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/- Copyright (c) 2020 Xi Wang. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Xi Wang -/ import Mathlib.Data.Nat.Basic import Mathlib.Order.Basic import Mathlib.Tactic.Common /-! # A compiler for arithmetic expressions A formalization of the correctness of a compiler...
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/- Copyright (c) 2024 Michael Rothgang. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Michael Rothgang -/ import Lake.CLI.Main import Lean.Elab.ParseImportsFast import Batteries.Data.String.Basic import Mathlib.Tactic.Linter.TextBased import ImportGraph.Imports.FromS...
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/- Copyright (c) 2024 Yaël Dillies, Damiano Testa. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Yaël Dillies, Damiano Testa -/ import Cli.Basic import Lake.CLI.Main import Mathlib.Util.GetAllModules -- The `style.header` linter flags `import Lake.CLI.Main` as a pote...
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/- Copyright (c) 2026 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Kim Morrison -/ import Cli.Basic /-! # Nightly testing checklist `lake exe nightly-testing-checklist` reports the current state of the `nightly-testing` branches at Batteries and Math...
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"no-build"; "Do not run lake build in cloned repositories." "fix"; "Actually commit and push fixes (default is dry-run: generate patch only)." "watch"; "Wait for in-progress CI runs to complete before proceeding." ] /-- The entrypoint to the `lake exe nightly-testing-checklist` command. -/ def main (ar...
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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 -/ import Mathlib.Lean.CoreM import Mathlib.Tactic.ToExpr /-! # Script to check `undergrad.yaml`, `overview.yaml`, `100.yaml` and `1000.yaml` This assumes `yaml_check.py` ha...
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/- Copyright (c) 2026 Adomas Baliuka. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Adomas Baliuka -/ import Batteries import Mathlib.Data.String.Defs /-! This script extracts all unique non-ascii characters from what is given via stdin (and deliberately excludes a f...
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/- Copyright (c) 2024 Damiano Testa. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Jon Eugster, Damiano Testa -/ import Lean.Elab.Command /-! # Automatic labelling of PRs This file contains the script to automatically assign a GitHub label to a PR. ## Label definit...
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/- Copyright (c) 2026 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Kim Morrison -/ import Lean.Parser.Module import Lean.Util.Path /-! # Find command range A standalone helper script that finds the byte range of the top-level command containing a giv...
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/- Copyright (c) 2025 Damiano Testa. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Damiano Testa -/ --import Mathlib.Init import Mathlib.Tactic.Linter.DeprecatedModule import Std.Time.Zoned import Lean.Meta.Tactic.TryThis -- a comment here to test `keepTrailing /-! ...
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/- Copyright (c) 2024 Michael Rothgang. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Michael Rothgang -/ import Cli.Basic import Mathlib.Tactic.Linter.ValidatePRTitle /-! # Checker for well-formed title and labels This script checks if a PR title matches some of [...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Anne Baanen -/ module public meta import Lean.Util.Heartbeats public meta import Lean.Server.InfoUtils public meta import Mathlib.Lean.Elab.Tactic.Meta public meta import Lean.Compiler...
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/- Copyright (c) 2024 Miyahara Kō. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Miyahara Kō -/ module public import Mathlib.Tactic.Translate.ToAdditive /-! ## `@[to_additive]` attributes for basic types -/ public meta section set_option linter.privateModule false...
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/- Copyright (c) 2024 Calle Sönne. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Johan Commelin, Nick Kuhn, Arend Mellendijk, Christian Merten, Calle Sönne, Adam Topaz -/ module public import Mathlib.Algebra.Algebra.Tower public meta import Mathlib.Tactic.Attr.Core p...
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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.Elab.Tactic.Basic public meta import Lean.PrettyPrinter public meta import Lean.Elab.SyntheticMVars public meta i...
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/- Copyright (c) 2024 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.Binders public meta import Lean.Elab.Tactic.ElabTerm public meta import Lean.Meta.Tactic.Generalize /-! ...
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/- Copyright (c) 2025 Eric Wieser. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Eric Wieser -/ module public meta import Lean.Elab.SyntheticMVars public import Mathlib.Init /-! # The `without_cdot()` elaborator -/ public meta section namespace Lean.Elab.Term ope...
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/- Copyright (c) 2017 Simon Hudon. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Simon Hudon, Kyle Miller, Damiano Testa -/ module public meta import Lean.Elab.Term public meta import Lean.Elab.Tactic.ElabTerm public meta import Lean.Meta.Tactic.Cleanup public meta i...
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/- Copyright (c) 2017 Mario Carneiro. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Mario Carneiro, Simon Hudon, Sébastien Gouëzel, Kim Morrison, Thomas Murrills -/ module public meta import Lean.Elab.Eval public meta import Lean.Elab.Tactic.BuiltinTactic public impo...
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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.Meta.Tactic.Clear public meta import Lean.Elab.Tactic.Basic /-! # `clear_` tactic -/ public meta section nam...
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/- Copyright (c) 2023 Johan Commelin. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Johan Commelin -/ module public import Mathlib.Init public meta import Lean.Meta.Tactic.TryThis public meta import Lean.Elab.Tactic.ElabTerm public meta import Lean.Meta.Tactic.Librar...
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/- Copyright (c) 2017 Mario Carneiro. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Arthur Paulino, Mario Carneiro -/ module public import Mathlib.Tactic.Have /-! # Extending `replace` This file extends the `replace` tactic from `Batteries` to allow the addition of...
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/- Copyright (c) 2024 Damiano Testa. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Damiano Testa -/ module public meta import Lean.Elab.Command public import Mathlib.Init /-! # The `#find_syntax` command The `#find_syntax` command takes as input a string `str` and ...
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/- Copyright (c) 2024 Jireh Loreaux. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Jireh Loreaux -/ module public import Aesop public import Mathlib.Tactic.FunProp /-! # Tactics for the continuous functional calculus At the moment, these tactics are just wrappers,...
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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: Arthur Paulino, Aurélien Saue, Mario Carneiro -/ module public meta import Lean.Elab.PreDefinition.Basic public meta import Lean.Elab.Tactic.ElabTerm public meta import Lean.Meta.Tact...
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/- Copyright (c) 2022 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.Init public meta import Lean.Elab.Tactic.Basic /-! A tactic stub file for the `guard_goal_nums` tactic. -/ public meta section op...
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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.Tactic.PPWithUniv /-! # `ToLevel` class This module defines `Lean.ToLevel`, which is the `Lean.Level` analogue to `Lean.ToExpr`. **Warning:...
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/- Copyright (c) 2024 Damiano Testa. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Damiano Testa -/ module public meta import Std.Time.Format public import Batteries.Tactic.Alias public import Mathlib.Init /-! # `deprecate to` -- a deprecation tool Writing ```lean ...
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/- Copyright (c) 2023 Moritz Doll, Damiano Testa. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Moritz Doll, Gabriel Ebner, Damiano Testa, Kyle Miller -/ module public meta import Lean.Meta.Tactic.Rfl public import Mathlib.Tactic.TermCongr /-! # The `congrm` tactic ...
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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 meta import Lean.Elab.Tactic.Induction public meta import Batteries.Data.List.Basic public meta import Batteries.Lean.Expr import all Lean.Elab.Tactic....
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/- Copyright (c) 2022 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.Init public meta import Lean.Elab.Tactic.Basic /-! A tactic stub file for the `guard_hyp_nums` tactic. -/ public meta section open ...
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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, Evgenia Karunus, Kyle Miller -/ module public meta import Lean.Elab.Command public meta import Lean.PrettyPrinter public meta import Mathlib.Tactic.Explode.Datatypes p...
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/- 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 Mathlib.Init public meta import Mathlib.Lean.MessageData.Trace /-! # The `#defeq_abuse` tactic and command combinators **WARNING:** `#defeq_abuse...
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| .internal id ref => throw (.internal id ref) | e => pure (Except.error e.toMessageData) let newMsgs := ((← get).messages.toList).drop savedMsgCount return (result, newMsgs) -- We set `Elab.async false` to force synchronous proof checking, -- otherwise `theorem` proofs are elaborated in a b...
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module public import Mathlib.Data.Rat.Cast.Order public import Mathlib.Tactic.NormNum.Abs public import Mathlib.Tactic.NormNum.Basic public import Mathlib.Tactic.NormNum.DivMod public import Mathlib.Tactic.NormNum.Eq public import Mathlib.Tactic.NormNum.Ineq public import Mathlib.Tactic.NormNum.Inv public import Mathl...
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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 /-! # Variants of `haveI`/`letI` for use in do-notation. This file implements the `haveI'` and `letI'` macros which have the...
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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 import Mathlib.Data.ENat.Basic public meta import Mathlib.Tactic.ToAdditive /-! # `enat_to_nat` This file implements the `enat_to_nat` tactic tha...
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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.Eval public meta import Lean.Elab.Tactic.ElabTerm public import Lean.Elab.Tactic.Config /-! # The `ap...
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/- 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.Tactic.FunProp.Decl public import Mathlib.Tactic.Measurability.Init /-! # Measurability We define the `measurability` tactic using `aesop`. ...
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/- Copyright (c) 2024 Heather Macbeth. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Heather Macbeth -/ module public import Mathlib.Algebra.Algebra.Tower public import Mathlib.Algebra.BigOperators.GroupWithZero.Action public import Mathlib.Tactic.Ring public import ...
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/- if one of the lists is empty and the other one is not, recurse down the nonempty one, forming goals that each of the listed coefficients is equal to zero -/ | [], ((a, x), _) ::ᵣ L => let mvar : Q((0:$R) = $a) ← mkFreshExprMVar q((0:$R) = $a) let (mvars, pf) ← reduceCoefficientwise iRM [] L pur...
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module public import Mathlib.Tactic.Ring.Basic public import Mathlib.Tactic.Ring.PNat public import Mathlib.Tactic.Ring.RingNF
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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 public meta import Lean.Elab.Tactic.Conv.Basic /-! # Tactics that transform types into definitionally equal types This module defines a...
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/- 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 Mathlib.Init public meta import Lean.Elab.Tactic.Rewrite /-! # The `erw?` tactic `erw? [r, ...]` calls `erw [r, ...]` (at hypothesis `h` if writt...
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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.Tactic.Conv.Basic public meta import Lean.Elab.Command /-! Additional `conv` tactics. -/ public meta s...
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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, Newell Jensen -/ module public import Mathlib.Init public meta import Lean.Elab.SyntheticMVars public meta import Lean.Meta.Tactic.Constructor /-! # The `fconstructor` an...
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/- Copyright (c) 2022 Kevin Buzzard. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Kevin Buzzard -/ module public import Batteries.Tactic.Init public import Mathlib.Tactic.Push /-! # The `by_contra` tactic The `by_contra!` tactic is a variant of the `by_contra` tac...
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/- Copyright (c) 2020 Patrick Massot. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Thomas Browning, Patrick Massot -/ module public import Mathlib.Algebra.Group.Commutator -- shake: keep (tactic dependency) public import Mathlib.Algebra.Order.Sub.Basic -- shake: k...
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/- Copyright (c) 2018 Gabriel Ebner. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Gabriel Ebner, David Renshaw -/ module public meta import Lean.Elab.Tactic.Location public meta import Lean.Meta.Tactic.SplitIf public meta import Lean.Elab.Tactic.Simp public import M...