Theorems · Theorem · category theory

CategoryTheory.braiding_inv_tensorUnit_left

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

Defined in

Mathlib.CategoryTheory.Monoidal.Braided.Basic

Cited by

2 results in Mathlib

Foundations

Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.BraidedCategory