Theorems · Theorem · category theory

HomologicalComplex.homotopyCofiber.descSigma_ext_iff

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Preadditive C] {ι : Type u_2}
  {c : ComplexShape ι} {F G : HomologicalComplex C c} {φ : F ⟶ G} {K : HomologicalComplex C c}
  (x y : (α : G ⟶ K) × Homotopy (CategoryTheory.CategoryStruct.comp φ α) 0),
  x = y ↔ x.fst = y.fst ∧ ∀ (i j : ι), c.Rel j i → x.snd.hom i j = y.snd.hom i j

Defined in

Mathlib.Algebra.Homology.HomotopyCofiber

Cited by

0 results in Mathlib

Foundations

Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Preadditive