Theorems · Definition · category theory

CategoryTheory.SemiadditiveOfBinaryBiproducts.leftAdd

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] →
      [CategoryTheory.Limits.HasBinaryBiproducts C] → (X Y : C) → (X ⟶ Y) → (X ⟶ Y) → (X ⟶ Y)

f +ₗ g is the composite X ⟶ Y ⊞ Y ⟶ Y, where the first map is (f, g) and the second map is (𝟙 𝟙).

Defined in

Mathlib.CategoryTheory.Preadditive.OfBiproducts

Cited by

2 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.Limits.HasBinaryBiproducts