Theorems · Theorem · category theory

CochainComplex.mappingCone.inl_v_descShortComplex_f

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Abelian C]
  (S : CategoryTheory.ShortComplex (CochainComplex C ℤ)) (i j : ℤ) (h : i + -1 = j),
  CategoryTheory.CategoryStruct.comp ((CochainComplex.mappingCone.inl S.f).v i j h)
      ((CochainComplex.mappingCone.descShortComplex S).f j) =
    0

Defined in

Mathlib.Algebra.Homology.HomotopyCategory.ShortExact

Cited by

4 results in Mathlib

Foundations

Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Abelian