Theorems · Definition · category theory

CategoryTheory.MonoidalCategory.DayConvolution.braidingInvCorepresenting

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {V : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} V] →
        [inst_2 : CategoryTheory.MonoidalCategory C] →
          [CategoryTheory.BraidedCategory C] →
            [inst_4 : CategoryTheory.MonoidalCategory V] →
              [CategoryTheory.BraidedCategory V] →
                (F G : CategoryTheory.Functor C V) →
                  [inst_6 : CategoryTheory.MonoidalCategory.DayConvolution F G] →
                    CategoryTheory.MonoidalCategory.externalProduct G F ⟶
                      (CategoryTheory.MonoidalCategory.tensor C).comp
                        (CategoryTheory.MonoidalCategory.DayConvolution.convolution F G)

The natural transformation F ⊠ G ⟶ (tensor C) ⋙ (G ⊛ F) that corepresents the braiding morphism F ⊛ G ⟶ G ⊛ F.

Defined in

Mathlib.CategoryTheory.Monoidal.DayConvolution.Braided

Cited by

2 results in Mathlib

Foundations

Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.BraidedCategoryCategoryTheory.MonoidalCategoryCategoryTheory.BraidedCategoryCategoryTheory.MonoidalCategory.DayConvolution