Theorems · Inductive type · category theory
CategoryTheory.LaxBraidedFunctor
(C : Type u₁) →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.MonoidalCategory C] →
[CategoryTheory.BraidedCategory C] →
(D : Type u₂) →
[inst : CategoryTheory.Category.{v₂, u₂} D] →
[inst_2 : CategoryTheory.MonoidalCategory D] →
[CategoryTheory.BraidedCategory D] → Type (max (max (max u₁ u₂) v₁) v₂)Bundled version of lax braided functors.
- Cited by
- 33 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement · cited by 32,673
- CategoryTheory.MonoidalCategorystatement · cited by 3,095
- CategoryTheory.BraidedCategorystatement · cited by 779
Cited by53
Results whose statement or proof uses this declaration.
- CategoryTheory.LaxBraidedFunctor.toLaxMonoidalFunctorstatement and proof · cited by 15
- CategoryTheory.LaxBraidedFunctor.toFunctorstatement and proof · cited by 13
- CategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.commMonToLaxBraidedstatement · cited by 11
- CategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.laxBraidedToCommMonstatement and proof · cited by 11
- CategoryTheory.CommMon.equivLaxBraidedFunctorPUnitstatement · cited by 4
- CategoryTheory.LaxBraidedFunctor.forgetstatement · cited by 4
- CategoryTheory.LaxBraidedFunctor.homMkstatement and proof · cited by 4
- CategoryTheory.LaxBraidedFunctor.ofstatement · cited by 3
- CategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.counitIsostatement · cited by 3
- CategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.unitIsostatement and proof · cited by 3
- CategoryTheory.Functor.mapCommMonFunctorstatement and proof · cited by 3
- CategoryTheory.LaxBraidedFunctor.isoMkstatement and proof · cited by 2