Theorems · Theorem · category theory

CategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.laxBraidedToCommMon_map

∀ (C : Type u₁) [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C]
  [inst_2 : CategoryTheory.BraidedCategory C]
  {X Y : CategoryTheory.LaxBraidedFunctor (CategoryTheory.Discrete PUnit.{u + 1}) C} (α : X ⟶ Y),
  (CategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.laxBraidedToCommMon C).map α =
    ((CategoryTheory.Functor.mapCommMonFunctor (CategoryTheory.Discrete PUnit.{u + 1}) C).map α).app
      (CategoryTheory.CommMon.trivial (CategoryTheory.Discrete PUnit.{u + 1}))

Defined in

Mathlib.CategoryTheory.Monoidal.CommMon_

Cited by

0 results in Mathlib

Foundations

Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.BraidedCategory