Theorems · Theorem · category theory

CategoryTheory.Equivalence.mapHomologicalComplex_counitIso

∀ {ι : Type u_1} {W₁ : Type u_3} {W₂ : Type u_4} [inst : CategoryTheory.Category.{v_2, u_3} W₁]
  [inst_1 : CategoryTheory.Category.{v_3, u_4} W₂] [inst_2 : CategoryTheory.Limits.HasZeroMorphisms W₁]
  [inst_3 : CategoryTheory.Limits.HasZeroMorphisms W₂] (e : W₁ ≌ W₂) [inst_4 : e.functor.PreservesZeroMorphisms]
  (c : ComplexShape ι),
  (e.mapHomologicalComplex c).counitIso =
    CategoryTheory.NatIso.mapHomologicalComplex e.counitIso c ≪≫ CategoryTheory.Functor.mapHomologicalComplexIdIso W₂ c

Defined in: Mathlib.Algebra.Homology.Additive
Cited by: 0 results in Mathlib
Foundations: Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Category CategoryTheory.Limits.HasZeroMorphisms CategoryTheory.Limits.HasZeroMorphisms CategoryTheory.Functor.PreservesZeroMorphisms

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CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.Functorstatement · cited by 16,252
CategoryTheory.Functor.compstatement · cited by 6,529
CategoryTheory.Isostatement · cited by 3,963
CategoryTheory.Functor.idstatement · cited by 3,333
CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
HomologicalComplexstatement · cited by 1,691
ComplexShapestatement and proof · cited by 1,684
CategoryTheory.Equivalence.functorstatement and proof · cited by 1,268
CategoryTheory.Equivalence.inversestatement · cited by 1,130
CategoryTheory.Equivalencestatement and proof · cited by 601
CategoryTheory.Iso.transstatement · cited by 566

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