a b c f (g : _ $-> c) : f $== g $o braid b a -> f $o braid a b $== g. Proof. intros p; symmetry; apply moveL_braidR; symmetry; exact p. Defined.
Require Import Basics.Overture Basics.Tactics Types.Forall. Require Import WildCat.Core WildCat.Bifunctor WildCat.Prod WildCat.Equiv. Require Import WildCat.NatTrans WildCat.Opposite.