Theorems · Theorem · category theory

CategoryTheory.Functor.mapCommMon_obj_X

∀ {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),
  (F.mapCommMon.obj A).X = F.obj A.X

Defined in: Mathlib.CategoryTheory.Monoidal.CommMon_
Cited by: 0 results in Mathlib
Foundations: Depth 23 from the axioms · uses propext, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.MonoidalCategory CategoryTheory.BraidedCategory CategoryTheory.Category CategoryTheory.MonoidalCategory CategoryTheory.BraidedCategory CategoryTheory.Functor.LaxBraided

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CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.Functor.objstatement and proof · cited by 19,642
CategoryTheory.Functorstatement and proof · cited by 16,252
CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
CategoryTheory.BraidedCategorystatement and proof · cited by 779
CategoryTheory.CommMonstatement and proof · cited by 85
CategoryTheory.CommMon.Xstatement and proof · cited by 50
CategoryTheory.Functor.mapCommMonstatement and proof · cited by 27
CategoryTheory.Functor.LaxBraidedstatement and proof · cited by 23

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