Theorems · Theorem · category theory

CategoryTheory.braiding_tensorUnit_right

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C]
  [inst_2 : CategoryTheory.BraidedCategory C] (X : C),
  (β_ X (CategoryTheory.MonoidalCategoryStruct.tensorUnit C)).hom =
    CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.rightUnitor X).hom
      (CategoryTheory.MonoidalCategoryStruct.leftUnitor X).inv

Defined in

Mathlib.CategoryTheory.Monoidal.Braided.Basic

Cited by

7 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.BraidedCategory