Theorems · Theorem · category theory

CategoryTheory.ShortComplex.HomologyData.ofIsLimitKernelFork_iso

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
  (S : CategoryTheory.ShortComplex C) (hf : S.f = 0) (c : CategoryTheory.Limits.KernelFork S.g)
  (hc : CategoryTheory.Limits.IsLimit c),
  (CategoryTheory.ShortComplex.HomologyData.ofIsLimitKernelFork S hf c hc).iso =
    CategoryTheory.Iso.refl (CategoryTheory.ShortComplex.LeftHomologyData.ofIsLimitKernelFork S hf c hc).H

Defined in

Mathlib.Algebra.Homology.ShortComplex.Homology

Cited by

0 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphisms