Theorems · Theorem · category theory

HomologicalComplex.homologyFunctorSingleIso_inv_app

∀ (C : Type u) [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
  [inst_2 : CategoryTheory.Limits.HasZeroObject C] {ι : Type u_1} [inst_3 : DecidableEq ι] (c : ComplexShape ι) (j : ι)
  [inst_4 : CategoryTheory.CategoryWithHomology C] (X : C),
  (HomologicalComplex.homologyFunctorSingleIso C c j).inv.app X =
    (HomologicalComplex.singleObjHomologySelfIso c j X).inv

Defined in

Mathlib.Algebra.Homology.SingleHomology

Cited by

0 results in Mathlib

Foundations

Depth 49 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.Limits.HasZeroObjectDecidableEqCategoryTheory.CategoryWithHomology