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Theorems · Definition · category theory

CategoryTheory.SemiadditiveOfBinaryBiproducts.rightAdd

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

Defined in
Mathlib.CategoryTheory.Preadditive.OfBiproducts
Cited by
3 results in Mathlib
Foundations
Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.Limits.HasBinaryBiproducts
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CategoryTheory.SemiadditiveOfBinaryBiproducts.distrib · cited by 1SemiadditiveOfBinaryBipro…CategoryTheory.SemiadditiveOfBinaryBiproducts.isUnital_rightAdd · cited by 1SemiadditiveOfBinaryBipro…CategoryTheory.SemiadditiveOfBinaryBiproducts.rightAdd.congr_simp · cited by 0rightAdd.congr_simpCategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compCategoryTheory.CategoryStruct.id · cited by 6235CategoryStruct.idCategoryTheory.Limits.HasZeroMorphisms · cited by 3275Limits.HasZeroMorphismsCategoryTheory.Limits.HasBinaryBiproducts · cited by 165Limits.HasBinaryBiproductsCategoryTheory.Limits.biprod.lift · cited by 79biprod.liftCategoryTheory.Limits.biprod.desc · cited by 54biprod.descSemiadditiveOfBinaryBiproduct…CITED BYCITES

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