Theorems · Theorem · category theory

CategoryTheory.MonObj.mul_braiding

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C]
  [inst_2 : CategoryTheory.SymmetricCategory C] (X Y : C) [inst_3 : CategoryTheory.MonObj X]
  [inst_4 : CategoryTheory.MonObj Y],
  CategoryTheory.CategoryStruct.comp CategoryTheory.MonObj.mul (β_ X Y).hom =
    CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.tensorHom (β_ X Y).hom (β_ X Y).hom)
      CategoryTheory.MonObj.mul

Defined in

Mathlib.CategoryTheory.Monoidal.Mon

Cited by

0 results in Mathlib

Foundations

Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.SymmetricCategoryCategoryTheory.MonObjCategoryTheory.MonObj