Theorems · Theorem · category theory

CategoryTheory.MonoidalCategory.inv_hom_whiskerRight_assoc

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.MonoidalCategory C] {X Y : C}
  (f : X ≅ Y) (Z : C) {Z_1 : C} (h : CategoryTheory.MonoidalCategoryStruct.tensorObj Y Z ⟶ Z_1),
  CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.whiskerRight f.inv Z)
      (CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.whiskerRight f.hom Z) h) =
    h

Defined in

Mathlib.CategoryTheory.Monoidal.Category

Cited by

2 results in Mathlib

Foundations

Depth 9 from the axioms · uses propext, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategory