proposition: Lemma inner_swap_characterization01 (x y z w : V) : inner_swap x y z w = inner_swap' x y z w.
proof: Proof. unfold inner_swap, inner_swap'. apply maponpaths. apply maponpaths_2. apply maponpaths. apply sym_monoidal_braiding_hexagon1_variant. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Limits.BinProducts UniMath.CategoryTheory.PrecategoryBinProduct UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors UniMath.CategoryTheory.Monoidal.Categories UniMath.CategoryTheory.Monoidal.Structure.Symmetric