Theorems · Theorem · category theory
CategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.commMonToLaxBraided_map_hom_hom_app
∀ (C : Type u₁) [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C]
[inst_2 : CategoryTheory.BraidedCategory C] {X Y : CategoryTheory.CommMon C} (f : X ⟶ Y)
(x : CategoryTheory.Discrete PUnit.{u + 1}),
((CategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.commMonToLaxBraided C).map f).hom.hom.app x = f.hom.hom- Defined in
- Mathlib.CategoryTheory.Monoidal.CommMon_
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites21
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- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- CategoryTheory.NatTrans.appstatement and proof · cited by 7,406
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.Discretestatement and proof · cited by 2,447
- CategoryTheory.InducedCategory.Hom.homstatement and proof · cited by 850
- CategoryTheory.BraidedCategorystatement and proof · cited by 779
- CategoryTheory.Monstatement · cited by 465
- CategoryTheory.Mon.Xstatement · cited by 329
- CategoryTheory.Mon.Hom.homstatement · cited by 200
- CategoryTheory.LaxMonoidalFunctorstatement · cited by 96
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