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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.

Defined in
Mathlib.CategoryTheory.Monoidal.Braided.Basic
Cited by
33 results in Mathlib
Foundations
Depth 3 from the axioms · uses no axioms
Assumes
CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.BraidedCategoryCategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.BraidedCategory

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.LaxBraidedFunctor.toLaxMonoidalFunctor · cited by 15LaxBraidedFunctor.toLaxMo…CategoryTheory.LaxBraidedFunctor.toFunctor · cited by 13LaxBraidedFunctor.toFunct…CategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.commMonToLaxBraided · cited by 11EquivLaxBraidedFunctorPUn…CategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.laxBraidedToCommMon · cited by 11EquivLaxBraidedFunctorPUn…CategoryTheory.CommMon.equivLaxBraidedFunctorPUnit · cited by 4CommMon.equivLaxBraidedFu…CategoryTheory.LaxBraidedFunctor.forget · cited by 4LaxBraidedFunctor.forgetCategoryTheory.LaxBraidedFunctor.homMk · cited by 4LaxBraidedFunctor.homMkCategoryTheory.LaxBraidedFunctor.of · cited by 3LaxBraidedFunctor.ofCategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.counitIso · cited by 3EquivLaxBraidedFunctorPUn…CategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.unitIso · cited by 3EquivLaxBraidedFunctorPUn…CategoryTheory.Functor.mapCommMonFunctor · cited by 3Functor.mapCommMonFunctorCategoryTheory.LaxBraidedFunctor.isoMk · cited by 2LaxBraidedFunctor.isoMkCategoryTheory.LaxBraidedFunctor.isoOfComponents · cited by 2LaxBraidedFunctor.isoOfCo…CategoryTheory.LaxBraidedFunctor.hom_ext · cited by 1LaxBraidedFunctor.hom_extCategoryTheory.LaxBraidedFunctor.mk.inj · cited by 1mk.injCategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.MonoidalCategory · cited by 3095CategoryTheory.MonoidalCa…CategoryTheory.BraidedCategory · cited by 779CategoryTheory.BraidedCat…CategoryTheory.LaxBraidedFunc…CITED BYCITES

Cites3

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Cited by53

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