Theorems · Theorem · category theory

CategoryTheory.Center.Hom.comm

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C]
  {X Y : CategoryTheory.Center C} (self : X.Hom Y) (U : C),
  CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.whiskerRight self.f U) (Y.snd.β U).hom =
    CategoryTheory.CategoryStruct.comp (X.snd.β U).hom (CategoryTheory.MonoidalCategoryStruct.whiskerLeft U self.f)

Defined in

Mathlib.CategoryTheory.Monoidal.Center

Cited by

3 results in Mathlib

Foundations

Depth 6 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategory