Theorems · Definition · category theory

CategoryTheory.underToAlgebra

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    (X : C) →
      [inst_1 : CategoryTheory.Limits.HasBinaryCoproducts C] →
        CategoryTheory.Functor (CategoryTheory.Under X) (CategoryTheory.coprodMonad X).Algebra

The backward direction of the equivalence from algebras for the coproduct monad to the under category.

Defined in

Mathlib.CategoryTheory.Monad.Products

Cited by

6 results in Mathlib

Foundations

Depth 48 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasBinaryCoproducts