Theorems · Theorem · category theory

CategoryTheory.Functor.mapCommMon_obj_mon_one

∀ {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]
  (F : CategoryTheory.Functor C D) [inst_6 : F.LaxBraided] (A : CategoryTheory.CommMon C),
  CategoryTheory.MonObj.one =
    CategoryTheory.CategoryStruct.comp (CategoryTheory.Functor.LaxMonoidal.ε F) (F.map CategoryTheory.MonObj.one)

Defined in

Mathlib.CategoryTheory.Monoidal.CommMon_

Cited by

0 results in Mathlib

Foundations

Depth 23 from the axioms · uses propext, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.BraidedCategoryCategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.BraidedCategoryCategoryTheory.Functor.LaxBraided