Qpos_sum_eq_join_meet@{} : forall a b c d : Q+, a + b = c + d -> a + b = join a c + meet b d. Proof. intros ???? E. apply pos_eq;apply Q_sum_eq_join_meet. change (' a + ' b) with (' (a + b)). rewrite E;reflexivity. Qed.
Require Import Import Quoting.Instances. Import NatPair.Instances.