Theorems · Definition · category theory

CategoryTheory.Functor.mapMonFunctor

(C : Type u₁) →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    [inst_1 : CategoryTheory.MonoidalCategory C] →
      (D : Type u₂) →
        [inst_2 : CategoryTheory.Category.{v₂, u₂} D] →
          [inst_3 : CategoryTheory.MonoidalCategory D] →
            CategoryTheory.Functor (CategoryTheory.LaxMonoidalFunctor C D)
              (CategoryTheory.Functor (CategoryTheory.Mon C) (CategoryTheory.Mon D))

mapMon is functorial in the lax monoidal functor.

Defined in

Mathlib.CategoryTheory.Monoidal.Mon

Cited by

4 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.CategoryCategoryTheory.MonoidalCategory