Theorems · Theorem · category theory

CategoryTheory.LaxBraidedFunctor.mk.inj

∀ {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}
  {toFunctor : CategoryTheory.Functor C D}
  {laxBraided : autoParam toFunctor.LaxBraided CategoryTheory.LaxBraidedFunctor.laxBraided._autoParam}
  {toFunctor_1 : CategoryTheory.Functor C D}
  {laxBraided_1 : autoParam toFunctor_1.LaxBraided CategoryTheory.LaxBraidedFunctor.laxBraided._autoParam},
  { toFunctor := toFunctor, laxBraided := laxBraided } = { toFunctor := toFunctor_1, laxBraided := laxBraided_1 } →
    toFunctor = toFunctor_1 ∧ laxBraided ≍ laxBraided_1

Defined in

Mathlib.CategoryTheory.Monoidal.Braided.Basic

Cited by

1 results in Mathlib

Foundations

Depth 15 from the axioms · uses no axioms