Theorems · Definition · category theory

CategoryTheory.Limits.biprod.lift

{C : Type uC} →
  [inst : CategoryTheory.Category.{uC', uC} C] →
    [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] →
      {W X Y : C} → [inst_2 : CategoryTheory.Limits.HasBinaryBiproduct X Y] → (W ⟶ X) → (W ⟶ Y) → (W ⟶ X ⊞ Y)

Given a pair of maps into the summands of a binary biproduct, we obtain a map into the binary biproduct.

Defined in

Mathlib.CategoryTheory.Limits.Shapes.BinaryBiproducts

Cited by

79 results in Mathlib

Foundations

Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.Limits.HasBinaryBiproduct