Theorems · Theorem · category theory

CategoryTheory.MonoidalCategory.inv_hom_whiskerRight

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

Defined in

Mathlib.CategoryTheory.Monoidal.Category

Cited by

4 results in Mathlib

Foundations

Depth 8 from the axioms · uses propext

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategory