Theorems · Definition · category theory
CategoryTheory.BraidedCategory.curriedBraidingNatIso
(C : Type u) →
[inst : CategoryTheory.Category.{v, u} C] →
[inst_1 : CategoryTheory.MonoidalCategory C] →
[CategoryTheory.BraidedCategory C] →
CategoryTheory.MonoidalCategory.curriedTensor C ≅ (CategoryTheory.MonoidalCategory.curriedTensor C).flipThe braiding isomorphism as a natural isomorphism of bifunctors C ⥤ C ⥤ C.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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.Functorstatement · cited by 16,252
- CategoryTheory.Isostatement · cited by 3,963
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.BraidedCategorystatement and proof · cited by 779
- CategoryTheory.Functor.flipstatement · cited by 320
- CategoryTheory.BraidedCategory.braidingproof · cited by 257
- CategoryTheory.NatIso.ofComponentsproof · cited by 178
- CategoryTheory.MonoidalCategory.curriedTensorstatement · cited by 170
Cited by6
Results whose statement or proof uses this declaration.
- CategoryTheory.Localization.Monoidal.braidingNatIsoproof · cited by 9
- CategoryTheory.Functor.PushoutObjObj.flipTensorproof · cited by 8
- CategoryTheory.Localization.Monoidal.braidingNatIso_hom_appproof · cited by 3
- CategoryTheory.BraidedCategory.curriedBraidingNatIso_hom_app_appstatement and proof · cited by 1
- CategoryTheory.SymmetricCategory.ofCurriedstatement and proof · cited by 0
- CategoryTheory.BraidedCategory.curriedBraidingNatIso_inv_app_appstatement and proof · cited by 0