Theorems · Theorem · category theory

HomologicalComplex.homologyFunctorIso_inv_app

∀ (C : Type u_1) [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
  {ι : Type u_2} (c : ComplexShape ι) (i : ι) [inst_2 : CategoryTheory.CategoryWithHomology C]
  (X : HomologicalComplex C c),
  (HomologicalComplex.homologyFunctorIso C c i).inv.app X = CategoryTheory.CategoryStruct.id (X.homology i)

Defined in

Mathlib.Algebra.Homology.ShortComplex.HomologicalComplex

Cited by

0 results in Mathlib

Foundations

Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.CategoryWithHomology