Theorems · Theorem · category theory

HomologicalComplex.to_single_hom_ext

∀ {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}
  {K : HomologicalComplex V c} {j : ι} {A : V} {f g : K ⟶ (HomologicalComplex.single V c j).obj A},
  f.f j = g.f j → f = g

Defined in

Mathlib.Algebra.Homology.Single

Cited by

8 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.Limits.HasZeroObjectDecidableEq