Theorems · Definition · category theory

CategoryTheory.ShortComplex.LeftHomologyData.hi

{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) → CategoryTheory.Limits.IsLimit (CategoryTheory.Limits.KernelFork.ofι self.i ⋯)

i : K ⟶ S.X₂ is a kernel of g : S.X₂ ⟶ S.X₃

Defined in

Mathlib.Algebra.Homology.ShortComplex.LeftHomology

Cited by

5 results in Mathlib

Foundations

Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphisms