Theorems · Theorem · category theory

CategoryTheory.ShortComplex.cyclesIsoKernel_hom

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
  (S : CategoryTheory.ShortComplex C) [inst_2 : S.HasLeftHomology] [inst_3 : CategoryTheory.Limits.HasKernel S.g],
  S.cyclesIsoKernel.hom = CategoryTheory.Limits.kernel.lift S.g S.iCycles ⋯

Defined in

Mathlib.Algebra.Homology.ShortComplex.LeftHomology

Cited by

0 results in Mathlib

Foundations

Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.ShortComplex.HasLeftHomologyCategoryTheory.Limits.HasKernel