Theorems · Theorem · category theory

CategoryTheory.Center.Hom.mk.sizeOf_spec

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C]
  {X Y : CategoryTheory.Center C} [inst_2 : SizeOf C] (f : X.fst ⟶ Y.fst)
  (comm :
    autoParam
      (∀ (U : C),
        CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.whiskerRight f U) (Y.snd.β U).hom =
          CategoryTheory.CategoryStruct.comp (X.snd.β U).hom (CategoryTheory.MonoidalCategoryStruct.whiskerLeft U f))
      CategoryTheory.Center.Hom.comm._autoParam),
  sizeOf { f := f, comm := comm } = 1 + sizeOf f

Defined in

Mathlib.CategoryTheory.Monoidal.Center

Cited by

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Foundations

Depth 13 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategorySizeOf