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# Conflicts: # Mathlib/Algebra/Category/ContinuousCohomology/Basic.lean # Mathlib/Data/Finite/Card.lean
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Mathlib/Algebra/Algebra/RestrictScalars.lean

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public import Mathlib.Algebra.Algebra.Tower
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/-!
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# The `RestrictScalars` type alias
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See the documentation attached to the `RestrictScalars` definition for advice on how and when to

Mathlib/Algebra/Algebra/Subalgebra/MulOpposite.lean

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public import Mathlib.Algebra.Ring.Subring.MulOpposite
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/-!
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# Subalgebras of opposite rings
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For every ring `A` over a commutative ring `R`, we construct an equivalence between

Mathlib/Algebra/Algebra/Subalgebra/Rank.lean

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public import Mathlib.LinearAlgebra.FreeModule.StrongRankCondition
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/-!
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# Some results on the ranks of subalgebras
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This file contains some results on the ranks of subalgebras,

Mathlib/Algebra/Category/ContinuousCohomology/Basic.lean

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Mathlib/Algebra/Category/Grp/EnoughInjectives.lean

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public import Mathlib.Algebra.Category.Grp.Injective
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/-!
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# Category of abelian groups has enough injectives
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Given an abelian group `A`, then `i : A ⟶ ∏_{A⋆} ℚ ⧸ ℤ` defined by `i : a ↦ c ↦ c a` is an

Mathlib/Algebra/Category/Grp/FiniteGrp.lean

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public import Mathlib.Algebra.Category.Grp.Basic
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/-!
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## Main definitions and results
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* `FiniteGrp` is the category of finite groups.

Mathlib/Algebra/Category/ModuleCat/AB.lean

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public import Mathlib.Algebra.Module.Shrink
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public import Mathlib.CategoryTheory.Abelian.GrothendieckCategory.Basic
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/-!
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# AB axioms in module categories
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This file proves that the category of modules over a ring satisfies Grothendieck's axioms AB5, AB4,

Mathlib/Algebra/Category/ModuleCat/Ext/DimensionShifting.lean

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public import Mathlib.Tactic.Continuity
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/-!
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# Dimension Shifting
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-/

Mathlib/Algebra/Category/ModuleCat/Ext/Finite.lean

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public import Mathlib.RingTheory.Noetherian.Basic
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/-!
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# `Ext`-modules between finitely generated modules over Noetherian rings are finitely generated
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-/

Mathlib/Algebra/Category/ModuleCat/Ext/HasExt.lean

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public import Mathlib.Algebra.Homology.DerivedCategory.Ext.EnoughProjectives
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# HasExt instance for Module Category
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If we assume `Small.{v} R`, the category `ModuleCat.{v} R` has enough projectives, which allows to

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