Theorems · Theorem · category theory

CategoryTheory.ShortComplex.LeftHomologyData.liftK_i

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
  {S : CategoryTheory.ShortComplex C} (h : S.LeftHomologyData) {A : C} (k : A ⟶ S.X₂)
  (hk : CategoryTheory.CategoryStruct.comp k S.g = 0), CategoryTheory.CategoryStruct.comp (h.liftK k hk) h.i = k

Defined in

Mathlib.Algebra.Homology.ShortComplex.LeftHomology

Cited by

8 results in Mathlib

Foundations

Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphisms