Theorems · Theorem · category theory

HomologicalComplex.dFrom_comp_xNextIso

∀ {ι : Type u_1} {V : Type u} [inst : CategoryTheory.Category.{v, u} V]
  [inst_1 : CategoryTheory.Limits.HasZeroMorphisms V] {c : ComplexShape ι} (C : HomologicalComplex V c) {i j : ι}
  (r : c.Rel i j), CategoryTheory.CategoryStruct.comp (C.dFrom i) (C.xNextIso r).hom = C.d i j

Defined in

Mathlib.Algebra.Homology.HomologicalComplex

Cited by

1 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphisms