Theorems · Theorem · category theory

CategoryTheory.MonObj.mul_assoc_flip

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C] (M : C)
  [inst_2 : CategoryTheory.MonObj M],
  CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.whiskerLeft M CategoryTheory.MonObj.mul)
      CategoryTheory.MonObj.mul =
    CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.associator M M M).inv
      (CategoryTheory.CategoryStruct.comp
        (CategoryTheory.MonoidalCategoryStruct.whiskerRight CategoryTheory.MonObj.mul M) CategoryTheory.MonObj.mul)

Defined in

Mathlib.CategoryTheory.Monoidal.Mon

Cited by

2 results in Mathlib

Foundations

Depth 7 from the axioms · uses propext, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.MonObj