Theorems · Theorem · category theory

HomologicalComplex.cyclesOpNatIso_hom_app

∀ {ι : Type u_1} (V : Type u_2) [inst : CategoryTheory.Category.{v_1, u_2} V] (c : ComplexShape ι)
  [inst_1 : CategoryTheory.Limits.HasZeroMorphisms V] [inst_2 : CategoryTheory.CategoryWithHomology V] (i : ι)
  (X : (HomologicalComplex V c)ᵒᵖ),
  (HomologicalComplex.cyclesOpNatIso V c i).hom.app X = ((Opposite.unop X).cyclesOpIso i).hom

Defined in

Mathlib.Algebra.Homology.Opposite

Cited by

0 results in Mathlib

Foundations

Depth 47 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.CategoryWithHomology