Theorems · Theorem · category theory

CategoryTheory.ShortComplex.LeftHomologyData.wi_assoc

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
  {S : CategoryTheory.ShortComplex C} (self : S.LeftHomologyData) {Z : C} (h : S.X₃ ⟶ Z),
  CategoryTheory.CategoryStruct.comp self.i (CategoryTheory.CategoryStruct.comp S.g h) =
    CategoryTheory.CategoryStruct.comp 0 h

the kernel condition for i

Defined in

Mathlib.Algebra.Homology.ShortComplex.LeftHomology

Cited by

0 results in Mathlib

Foundations

Depth 7 from the axioms · uses Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphisms