Theorems · Theorem · category theory

CategoryTheory.MonObj.mul_assoc

∀ {C : Type u₁} {inst : CategoryTheory.Category.{v₁, u₁} C} {inst_1 : CategoryTheory.MonoidalCategory C} (X : C)
  [self : CategoryTheory.MonObj X],
  CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.whiskerRight CategoryTheory.MonObj.mul X)
      CategoryTheory.MonObj.mul =
    CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.associator X X X).hom
      (CategoryTheory.CategoryStruct.comp
        (CategoryTheory.MonoidalCategoryStruct.whiskerLeft X CategoryTheory.MonObj.mul) CategoryTheory.MonObj.mul)

Defined in

Mathlib.CategoryTheory.Monoidal.Mon

Cited by

8 results in Mathlib

Foundations

Depth 4 from the axioms · uses no axioms

Assumes

CategoryTheory.MonObj