Theorems · Definition · category theory

CategoryTheory.Functor.mapCommMonFunctor

(C : Type u₁) →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    [inst_1 : CategoryTheory.MonoidalCategory C] →
      [inst_2 : CategoryTheory.BraidedCategory C] →
        (D : Type u₂) →
          [inst_3 : CategoryTheory.Category.{v₂, u₂} D] →
            [inst_4 : CategoryTheory.MonoidalCategory D] →
              [inst_5 : CategoryTheory.BraidedCategory D] →
                CategoryTheory.Functor (CategoryTheory.LaxBraidedFunctor C D)
                  (CategoryTheory.Functor (CategoryTheory.CommMon C) (CategoryTheory.CommMon D))

mapCommMon is functorial in the lax braided functor.

Defined in

Mathlib.CategoryTheory.Monoidal.CommMon_

Cited by

3 results in Mathlib

Foundations

Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.BraidedCategoryCategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.BraidedCategory