Theorems · Theorem · category theory

Homotopy.ofExtend.congr_simp

∀ {ι : Type u_1} {ι' : Type u_2} {c : ComplexShape ι} {c' : ComplexShape ι'} {C : Type u_3}
  [inst : CategoryTheory.Category.{v_1, u_3} C] [inst_1 : CategoryTheory.Limits.HasZeroObject C]
  [inst_2 : CategoryTheory.Preadditive C] {K L : HomologicalComplex C c} {f g : K ⟶ L} {e : c.Embedding c'}
  [inst_3 : e.IsRelIff] (h h_1 : Homotopy (HomologicalComplex.extendMap f e) (HomologicalComplex.extendMap g e)),
  h = h_1 → h.ofExtend = h_1.ofExtend

Defined in

Mathlib.Algebra.Homology.Embedding.ExtendHomotopy

Cited by

0 results in Mathlib

Foundations

Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroObjectCategoryTheory.PreadditiveComplexShape.Embedding.IsRelIff