Theorems · Definition · category theory

CategoryTheory.Limits.Sigma.desc

{β : Type w} →
  {C : Type u} →
    [inst : CategoryTheory.Category.{v, u} C] →
      {f : β → C} → [inst_1 : CategoryTheory.Limits.HasCoproduct f] → {P : C} → ((b : β) → f b ⟶ P) → (∐ f ⟶ P)

A collection of morphisms f b ⟶ P induces a morphism ∐ f ⟶ P.

Defined in

Mathlib.CategoryTheory.Limits.Shapes.Products

Cited by

76 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasCoproduct