Theorems · Definition · category theory

CategoryTheory.Monoidal.ComonFunctorCategoryEquivalence.functorObj

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {D : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
        [inst_2 : CategoryTheory.MonoidalCategory D] →
          (A : CategoryTheory.Functor C D) →
            [CategoryTheory.ComonObj A] → CategoryTheory.Functor C (CategoryTheory.Comon D)

A comonoid object in a functor category induces a functor to the category of comonoid objects.

Defined in

Mathlib.CategoryTheory.Monoidal.Internal.FunctorCategory

Cited by

4 results in Mathlib

Foundations

Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.ComonObj