Theorems · Definition · category theory

CategoryTheory.Monoidal.MonFunctorCategoryEquivalence.inverse

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

Functor translating a functor into the category of monoid objects to a monoid object in the functor category

Defined in

Mathlib.CategoryTheory.Monoidal.Internal.FunctorCategory

Cited by

9 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.MonoidalCategory