Theorems · Definition · category theory

CategoryTheory.Limits.biproduct.desc

{J : Type w} →
  {C : Type u} →
    [inst : CategoryTheory.Category.{v, u} C] →
      [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] →
        {f : J → C} → [inst_2 : CategoryTheory.Limits.HasBiproduct f] → {P : C} → ((b : J) → f b ⟶ P) → (⨁ f ⟶ P)

Given a collection of maps out of the summands, we obtain a map out of the biproduct.

Defined in

Mathlib.CategoryTheory.Limits.Shapes.Biproducts

Cited by

29 results in Mathlib

Foundations

Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.Limits.HasBiproduct