Theorems · Theorem · category theory

CategoryTheory.Functor.mapCommMonFunctor_map_app

∀ (C : Type u₁) [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C]
  [inst_2 : CategoryTheory.BraidedCategory C] (D : Type u₂) [inst_3 : CategoryTheory.Category.{v₂, u₂} D]
  [inst_4 : CategoryTheory.MonoidalCategory D] [inst_5 : CategoryTheory.BraidedCategory D]
  {X Y : CategoryTheory.LaxBraidedFunctor C D} (α : X ⟶ Y) (A : CategoryTheory.CommMon C),
  ((CategoryTheory.Functor.mapCommMonFunctor C D).map α).app A =
    CategoryTheory.CommMon.homMk (CategoryTheory.Mon.Hom.mk' (α.hom.hom.app A.X) ⋯ ⋯)

Defined in

Mathlib.CategoryTheory.Monoidal.CommMon_

Cited by

0 results in Mathlib

Foundations

Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.BraidedCategoryCategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.BraidedCategory