#[global]
Instance CR_cv_morph
: forall {R : ConstructiveReals} (un : nat -> CRcarrier R), CMorphisms.Proper
(CMorphisms.respectful (CReq R) CRelationClasses.iffT) (CR_cv R un).

Lemma CR_growing_transit : forall {R : ConstructiveReals} (un : nat -> CRcarrier R),
(forall n:nat, un n <= un (S n))
-> forall n p : nat, le n p -> un n <= un p.