#[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_cv_bound_down : forall {R : ConstructiveReals}
(u : nat -> CRcarrier R) (A l : CRcarrier R) (N : nat),
(forall n:nat, le N n -> A <= u n)
-> CR_cv R u l
-> A <= l.