Theorems · Definition · category theory

CategoryTheory.ShortComplex.HomologyMapData.left

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] →
      {S₁ S₂ : CategoryTheory.ShortComplex C} →
        {φ : S₁ ⟶ S₂} →
          {h₁ : S₁.HomologyData} →
            {h₂ : S₂.HomologyData} →
              CategoryTheory.ShortComplex.HomologyMapData φ h₁ h₂ →
                CategoryTheory.ShortComplex.LeftHomologyMapData φ h₁.left h₂.left

a left homology map data

Defined in

Mathlib.Algebra.Homology.ShortComplex.Homology

Cited by

25 results in Mathlib

Foundations

Depth 17 from the axioms · uses propext, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphisms