Theorems · Theorem · category theory
CategoryTheory.Functor.mapCommMonFunctor_obj
∀ (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.LaxBraidedFunctor C D), (CategoryTheory.Functor.mapCommMonFunctor C D).obj F = F.mapCommMon- Defined in
- Mathlib.CategoryTheory.Monoidal.CommMon_
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.BraidedCategorystatement and proof · cited by 779
- CategoryTheory.CommMonstatement · cited by 85
- CategoryTheory.LaxBraidedFunctorstatement and proof · cited by 33
- CategoryTheory.Functor.mapCommMonstatement · cited by 27
- CategoryTheory.LaxBraidedFunctor.toFunctorstatement · cited by 13
- CategoryTheory.Functor.mapCommMonFunctorstatement and proof · cited by 3
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