Theorems · Theorem · category theory

CategoryTheory.NatTrans.mapHomologicalComplex_id

∀ {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] (c : ComplexShape ι) (F : CategoryTheory.Functor W₁ W₂)
  [inst_4 : F.PreservesZeroMorphisms],
  CategoryTheory.NatTrans.mapHomologicalComplex (CategoryTheory.CategoryStruct.id F) c =
    CategoryTheory.CategoryStruct.id (F.mapHomologicalComplex c)

Defined in: Mathlib.Algebra.Homology.Additive
Cited by: 0 results in Mathlib
Foundations: Depth 24 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
Quiver.Homstatement · cited by 32,603
CategoryTheory.Functorstatement and proof · cited by 16,252
CategoryTheory.CategoryStruct.idstatement and proof · cited by 6,235
CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
HomologicalComplexstatement · cited by 1,691
ComplexShapestatement and proof · cited by 1,684
CategoryTheory.Functor.PreservesZeroMorphismsstatement and proof · cited by 458
CategoryTheory.Functor.mapHomologicalComplexstatement · cited by 145
CategoryTheory.NatTrans.mapHomologicalComplexstatement and proof · cited by 10

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