Theorems · Definition · category theory

CategoryTheory.ProjectiveResolution.Hom.hom

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [inst_1 : CategoryTheory.Limits.HasZeroObject C] →
      [inst_2 : CategoryTheory.Limits.HasZeroMorphisms C] →
        {Z : C} →
          {P : CategoryTheory.ProjectiveResolution Z} →
            {Z' : C} →
              {P' : CategoryTheory.ProjectiveResolution Z'} → {f : Z ⟶ Z'} → P.Hom P' f → (P.complex ⟶ P'.complex)

A morphism between the cocomplexes

Defined in

Mathlib.CategoryTheory.Preadditive.Projective.Resolution

Cited by

8 results in Mathlib

Foundations

Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroObjectCategoryTheory.Limits.HasZeroMorphisms