proposition: Proposition symmetric_lax_monoidal_sym_mon_braiding {V₁ V₂ : sym_monoidal_cat} (F : symmetric_lax_monoidal_functor V₁ V₂) (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).
proof: Proof. exact (pr2 F x y). Qed.
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