Theorems · Definition · category theory

CategoryTheory.Limits.FormalCoproduct.eval

(C : Type u) →
  [inst : CategoryTheory.Category.{v, u} C] →
    (A : Type u₁) →
      [inst_1 : CategoryTheory.Category.{v₁, u₁} A] →
        [CategoryTheory.Limits.HasCoproducts A] →
          CategoryTheory.Functor (CategoryTheory.Functor C A)
            (CategoryTheory.Functor (CategoryTheory.Limits.FormalCoproduct C) A)

A copresheaf valued in a category A with arbitrary coproducts, can be extended to the category of formal coproducts.

Defined in

Mathlib.CategoryTheory.Limits.FormalCoproducts.Basic

Cited by

5 results in Mathlib

Foundations

Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Limits.HasCoproducts