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Tactic.lean
import Mathlib.Tactic.Abel import Mathlib.Tactic.AdaptationNote import Mathlib.Tactic.ApplyAt import Mathlib.Tactic.ApplyCongr import Mathlib.Tactic.ApplyFun import Mathlib.Tactic.ApplyWith import Mathlib.Tactic.ArithMult import Mathlib.Tactic.ArithMult.Init import Mathlib.Tactic.Attr.Core import Mathlib.Tactic.Attr.Re...
Algebra\AddTorsor.lean
/- Copyright (c) 2020 Joseph Myers. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Joseph Myers, Yury Kudryashov -/ import Mathlib.Data.Set.Pointwise.SMul /-! # Torsors of additive group actions This file defines torsors of additive group actions. ## Notations The ...
Algebra\AlgebraicCard.lean
/- Copyright (c) 2022 Violeta Hernández Palacios. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Violeta Hernández Palacios -/ import Mathlib.Algebra.Polynomial.Cardinal import Mathlib.RingTheory.Algebraic /-! ### Cardinality of algebraic numbers In this file, we pro...
Algebra\Bounds.lean
/- Copyright (c) 2021 Yury G. Kudryashov. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Yury G. Kudryashov -/ import Mathlib.Algebra.Order.Group.OrderIso import Mathlib.Data.Set.Pointwise.Basic import Mathlib.Order.Bounds.OrderIso import Mathlib.Order.ConditionallyCom...
Algebra\CubicDiscriminant.lean
/- Copyright (c) 2022 David Kurniadi Angdinata. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: David Kurniadi Angdinata -/ import Mathlib.Algebra.Polynomial.Splits /-! # Cubics and discriminants This file defines cubic polynomials over a semiring and their discrimina...
Algebra\DirectLimit.lean
/- Copyright (c) 2019 Kenny Lau, Chris Hughes. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Kenny Lau, Chris Hughes, Jujian Zhang -/ import Mathlib.Data.Finset.Order import Mathlib.Algebra.DirectSum.Module import Mathlib.RingTheory.FreeCommRing import Mathlib.RingThe...
Algebra\DualNumber.lean
/- 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.TrivSqZeroExt /-! # Dual numbers The dual numbers over `R` are of the form `a + bε`, where `a` and `b` are typically elements of a commutative ring...
Algebra\DualQuaternion.lean
/- 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.Algebra.DualNumber import Mathlib.Algebra.Quaternion /-! # Dual quaternions Similar to the way that rotations in 3D space can be represented by quaternions...
Algebra\Exact.lean
/- Copyright (c) 2023 Antoine Chambert-Loir. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Antoine Chambert-Loir -/ import Mathlib.Algebra.Module.Submodule.Range import Mathlib.LinearAlgebra.Prod import Mathlib.LinearAlgebra.Quotient /-! # Exactness of a pair * For...
Algebra\Expr.lean
/- Copyright (c) 2022 Eric Wieser. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Eric Wieser -/ import Mathlib.Algebra.Group.ZeroOne import Qq /-! # Helpers to invoke functions involving algebra at tactic time This file provides instances on `x y : Q($α)` such that ...
Algebra\Free.lean
/- Copyright (c) 2019 Kenny Lau. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Kenny Lau -/ import Mathlib.Algebra.Group.Equiv.Basic import Mathlib.Control.Applicative import Mathlib.Control.Traversable.Basic import Mathlib.Data.List.Basic import Mathlib.Logic.Equiv.D...
Algebra\FreeAlgebra.lean
/- Copyright (c) 2020 Adam Topaz. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Scott Morrison, Adam Topaz, Eric Wieser -/ import Mathlib.Algebra.Algebra.Subalgebra.Basic import Mathlib.Algebra.Algebra.Tower import Mathlib.Algebra.MonoidAlgebra.NoZeroDivisors import M...
Algebra\FreeNonUnitalNonAssocAlgebra.lean
/- Copyright (c) 2021 Oliver Nash. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Oliver Nash -/ import Mathlib.Algebra.Free import Mathlib.Algebra.MonoidAlgebra.Basic /-! # Free algebras Given a semiring `R` and a type `X`, we construct the free non-unital, non-asso...
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