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Theorems · Definition · category theory

CategoryTheory.LaxBraidedFunctor.toFunctor

{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] →
                CategoryTheory.LaxBraidedFunctor C D → CategoryTheory.Functor C D
Defined in
Mathlib.CategoryTheory.Monoidal.Braided.Basic
Cited by
13 results in Mathlib
Foundations
Depth 4 from the axioms · uses no axioms
Assumes
CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.BraidedCategoryCategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.BraidedCategory
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Around this declaration

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CategoryTheory.LaxBraidedFunctor.toLaxMonoidalFunctor · cited by 15LaxBraidedFunctor.toLaxMo…CategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.laxBraidedToCommMon · cited by 11EquivLaxBraidedFunctorPUn…CategoryTheory.LaxBraidedFunctor.homMk · cited by 4LaxBraidedFunctor.homMkCategoryTheory.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.CommMon.EquivLaxBraidedFunctorPUnit.unitIso_inv_app_hom_hom_app · cited by 0EquivLaxBraidedFunctorPUn…CategoryTheory.Functor.mapCommMonFunctor_map_app · cited by 0Functor.mapCommMonFunctor…CategoryTheory.Functor.mapCommMonFunctor_obj · cited by 0Functor.mapCommMonFunctor…CategoryTheory.LaxBraidedFunctor.isoMk_hom · cited by 0LaxBraidedFunctor.isoMk_h…CategoryTheory.LaxBraidedFunctor.isoMk_inv · cited by 0LaxBraidedFunctor.isoMk_i…CategoryTheory.LaxBraidedFunctor.isoOfComponents_hom_hom_hom_app · cited by 0LaxBraidedFunctor.isoOfCo…CategoryTheory.LaxBraidedFunctor.isoOfComponents_inv_hom_hom_app · cited by 0LaxBraidedFunctor.isoOfCo…CategoryTheory.LaxBraidedFunctor.homMk.congr_simp · cited by 0homMk.congr_simpCategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.MonoidalCategory · cited by 3095CategoryTheory.MonoidalCa…CategoryTheory.BraidedCategory · cited by 779CategoryTheory.BraidedCat…CategoryTheory.LaxBraidedFunctor · cited by 33CategoryTheory.LaxBraided…LaxBraidedFunctor.toFunctorCITED BYCITES

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Cited by20

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