Theorems · Theorem · category theory

CategoryTheory.AddMon.equivLaxMonoidalFunctorPUnit_unitIso_inv_app_hom_app

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C]
  (X : CategoryTheory.LaxMonoidalFunctor (CategoryTheory.Discrete PUnit.{w + 1}) C)
  (X_1 : CategoryTheory.Discrete PUnit.{w + 1}),
  (CategoryTheory.AddMon.equivLaxMonoidalFunctorPUnit.unitIso.inv.app X).hom.app X_1 =
    CategoryTheory.CategoryStruct.id
      (X.obj (CategoryTheory.MonoidalCategoryStruct.tensorUnit (CategoryTheory.Discrete PUnit.{w + 1})))

Defined in

Mathlib.CategoryTheory.Monoidal.Mon

Cited by

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Foundations

Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategory