Theorems · Theorem · category theory

CategoryTheory.MonoidalCategory.whiskerLeft_inv_hom

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