Theorems · Definition · category theory

HomologicalComplex.extend.mapX

{ι : Type u_1} →
  {c : ComplexShape ι} →
    {C : Type u_3} →
      [inst : CategoryTheory.Category.{v_1, u_3} C] →
        [inst_1 : CategoryTheory.Limits.HasZeroObject C] →
          [inst_2 : CategoryTheory.Limits.HasZeroMorphisms C] →
            {K L : HomologicalComplex C c} →
              (K ⟶ L) → (i : Option ι) → HomologicalComplex.extend.X K i ⟶ HomologicalComplex.extend.X L i

Auxiliary definition for HomologicalComplex.extendMap.

Defined in

Mathlib.Algebra.Homology.Embedding.Extend

Cited by

2 results in Mathlib

Foundations

Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroObjectCategoryTheory.Limits.HasZeroMorphisms