Theorems · Theorem · category theory

HomologicalComplex.isZero_single_comp_eval

∀ (V : Type u) [inst : CategoryTheory.Category.{v, u} V] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms V]
  [inst_2 : CategoryTheory.Limits.HasZeroObject V] {ι : Type u_1} [inst_3 : DecidableEq ι] (c : ComplexShape ι)
  (j i : ι),
  i ≠ j → CategoryTheory.Limits.IsZero ((HomologicalComplex.single V c j).comp (HomologicalComplex.eval V c i))

Defined in

Mathlib.Algebra.Homology.Single

Cited by

0 results in Mathlib

Foundations

Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.Limits.HasZeroObjectDecidableEq