Theorems · Inductive type · category theory

CategoryTheory.Functor.Braided

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

A braided functor between braided monoidal categories is a monoidal functor which preserves the braiding.

Defined in

Mathlib.CategoryTheory.Monoidal.Braided.Basic

Cited by

32 results in Mathlib

Foundations

Depth 3 from the axioms · uses no axioms

Assumes

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