Theorems · Theorem · category theory

HomologicalComplex.Hom.sqFrom_comp

∀ {ι : Type u_1} {V : Type u} [inst : CategoryTheory.Category.{v, u} V]
  [inst_1 : CategoryTheory.Limits.HasZeroMorphisms V] {c : ComplexShape ι} {C₁ C₂ C₃ : HomologicalComplex V c}
  (f : C₁ ⟶ C₂) (g : C₂ ⟶ C₃) (i : ι),
  HomologicalComplex.Hom.sqFrom (CategoryTheory.CategoryStruct.comp f g) i =
    CategoryTheory.CategoryStruct.comp (HomologicalComplex.Hom.sqFrom f i) (HomologicalComplex.Hom.sqFrom g i)

Defined in

Mathlib.Algebra.Homology.HomologicalComplex

Cited by

0 results in Mathlib

Foundations

Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphisms