fact: Definition symmetric_monoidal_functor_laws {V₁ V₂ : sym_monoidal_cat} (F : lax_monoidal_functor V₁ V₂) : UU := ∏ (x y : V₁), sym_mon_braiding V₂ (F x) (F y) · mon_functor_tensor F y x = mon_functor_tensor F x y · #F(sym_mon_braiding V₁ x y).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors UniMath.CategoryTheory.Monoidal.Categories UniMath.CategoryTheory.Monoidal.Structure.Symmetric