Theorems · Theorem · category theory

CategoryTheory.AddMon.EquivLaxMonoidalFunctorPUnit.laxMonoidalToAddMon_map

∀ (C : Type u₁) [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C]
  {X Y : CategoryTheory.LaxMonoidalFunctor (CategoryTheory.Discrete PUnit.{w + 1}) C} (α : X ⟶ Y),
  (CategoryTheory.AddMon.EquivLaxMonoidalFunctorPUnit.laxMonoidalToAddMon C).map α =
    ((CategoryTheory.Functor.mapAddMonFunctor (CategoryTheory.Discrete PUnit.{w + 1}) C).map α).app
      (CategoryTheory.AddMon.trivial (CategoryTheory.Discrete PUnit.{w + 1}))

Defined in

Mathlib.CategoryTheory.Monoidal.Mon

Cited by

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Foundations

Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategory