Theorems · Theorem · category theory

CategoryTheory.SymmetricCategory.symmetry

∀ {C : Type u} {inst : CategoryTheory.Category.{v, u} C} {inst_1 : CategoryTheory.MonoidalCategory C}
  [self : CategoryTheory.SymmetricCategory C] (X Y : C),
  CategoryTheory.CategoryStruct.comp (β_ X Y).hom (β_ Y X).hom =
    CategoryTheory.CategoryStruct.id (CategoryTheory.MonoidalCategoryStruct.tensorObj X Y)

Defined in

Mathlib.CategoryTheory.Monoidal.Braided.Basic

Cited by

5 results in Mathlib

Foundations

Depth 4 from the axioms · uses no axioms

Assumes

CategoryTheory.SymmetricCategory