Theorems · Theorem · category theory

CategoryTheory.ShortComplex.HomologyData.ofHasKernel_left

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
  (S : CategoryTheory.ShortComplex C) (hf : S.f = 0) [inst_2 : CategoryTheory.Limits.HasKernel S.g],
  (CategoryTheory.ShortComplex.HomologyData.ofHasKernel S hf).left =
    CategoryTheory.ShortComplex.LeftHomologyData.ofHasKernel S hf

Defined in

Mathlib.Algebra.Homology.ShortComplex.Homology

Cited by

0 results in Mathlib

Foundations

Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.Limits.HasKernel