Theorems · Theorem · category theory

CategoryTheory.MonoidalCategory.whiskerRight_id_assoc

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.MonoidalCategory C] {X Y : C}
  (f : X ⟶ Y) {Z : C}
  (h : CategoryTheory.MonoidalCategoryStruct.tensorObj Y (CategoryTheory.MonoidalCategoryStruct.tensorUnit C) ⟶ Z),
  CategoryTheory.CategoryStruct.comp
      (CategoryTheory.MonoidalCategoryStruct.whiskerRight f (CategoryTheory.MonoidalCategoryStruct.tensorUnit C)) h =
    CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.rightUnitor X).hom
      (CategoryTheory.CategoryStruct.comp f
        (CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.rightUnitor Y).inv h))

Defined in

Mathlib.CategoryTheory.Monoidal.Category

Cited by

4 results in Mathlib

Foundations

Depth 6 from the axioms · uses propext, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategory