Theorems · Theorem · category theory

CategoryTheory.ShortComplex.p_descOpcycles

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

Defined in

Mathlib.Algebra.Homology.ShortComplex.RightHomology

Cited by

9 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.ShortComplex.HasRightHomology