pos_recip_r@{} : forall e : Q+, e / e = 1. Proof. intros;apply pos_eq. unfold dec_recip,cast,pos_recip;simpl. change (' e / ' e = 1). apply dec_recip_inverse. apply lt_ne_flip. solve_propholds. Qed.
Require Import Import Quoting.Instances. Import NatPair.Instances.