Definition rgdcopT q p := 'let sp <- sizeT p; rgdcop_recT sp q p.

Lemma rgdcopTP (k : polyF -> fF) :
(forall p e, qf_eval e (k p) = qf_eval e (k (lift (eval_poly e p)))) ->
forall p q e, qf_eval e (rgdcopT p q k) =
qf_eval e (k (lift (rgdcop (eval_poly e p) (eval_poly e q)))).