Theorems · Theorem · category theory

CategoryTheory.GrpObj.tensorHom_inv_inv_mul

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C]
  [inst_2 : CategoryTheory.BraidedCategory C] (A : C) [inst_3 : CategoryTheory.GrpObj A],
  CategoryTheory.CategoryStruct.comp
      (CategoryTheory.MonoidalCategoryStruct.tensorHom CategoryTheory.GrpObj.inv CategoryTheory.GrpObj.inv)
      CategoryTheory.MonObj.mul =
    CategoryTheory.CategoryStruct.comp (β_ A A).hom
      (CategoryTheory.CategoryStruct.comp CategoryTheory.MonObj.mul CategoryTheory.GrpObj.inv)

Defined in

Mathlib.CategoryTheory.Monoidal.Grp

Cited by

2 results in Mathlib

Foundations

Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategoryCategoryTheory.BraidedCategoryCategoryTheory.GrpObj