Theorems · Theorem · category theory

Homotopy.zero

∀ {ι : Type u_1} {V : Type u} [inst : CategoryTheory.Category.{v, u} V] [inst_1 : CategoryTheory.Preadditive V]
  {c : ComplexShape ι} {C D : HomologicalComplex V c} {f g : C ⟶ D} (self : Homotopy f g) (i j : ι),
  ¬c.Rel j i → self.hom i j = 0

Defined in

Mathlib.Algebra.Homology.Homotopy

Cited by

5 results in Mathlib

Foundations

Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Preadditive