Theorems · Theorem · category theory

CategoryTheory.ShortComplex.RightHomologyData.opcyclesIso_inv_comp_descOpcycles

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
  {S : CategoryTheory.ShortComplex C} (h : S.RightHomologyData) {A : C} (k : S.X₂ ⟶ A)
  (hk : CategoryTheory.CategoryStruct.comp S.f k = 0) [inst_2 : S.HasRightHomology],
  CategoryTheory.CategoryStruct.comp h.opcyclesIso.inv (S.descOpcycles k hk) = h.descQ k hk

Defined in

Mathlib.Algebra.Homology.ShortComplex.RightHomology

Cited by

2 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.ShortComplex.HasRightHomology