Theorems · Definition · category theory

CategoryTheory.Limits.coprod.desc

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

If the coproduct of X and Y exists, then every pair of morphisms f : X ⟶ W and g : Y ⟶ W induces a morphism coprod.desc f g : X ⨿ Y ⟶ W.

Defined in

Mathlib.CategoryTheory.Limits.Shapes.BinaryProducts

Cited by

69 results in Mathlib

Foundations

Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasBinaryCoproduct