Theorems · Definition · category theory

CategoryTheory.LaxBraidedFunctor.noConfusion

{P : Sort u} →
  {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} →
                  {t : CategoryTheory.LaxBraidedFunctor C D} →
                    {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'} →
                                    {t' : CategoryTheory.LaxBraidedFunctor C' D'} →
                                      C = C' →
                                        inst ≍ inst' →
                                          inst_1 ≍ inst'_1 →
                                            inst_2 ≍ inst'_2 →
                                              D = D' →
                                                inst_3 ≍ inst'_3 →
                                                  inst_4 ≍ inst'_4 →
                                                    inst_5 ≍ inst'_5 →
                                                      t ≍ t' → CategoryTheory.LaxBraidedFunctor.noConfusionType P t t'

Defined in

Mathlib.CategoryTheory.Monoidal.Braided.Basic

Cited by

0 results in Mathlib

Foundations

Depth 13 from the axioms · uses no axioms