Add Parametric Morphism {R : ConstructiveReals} : CRmin
with signature (CReq R) ==> (CReq R) ==> (CReq R)
as CRmin_morph.
#[global]
Instance CRmin_morphT
: forall {R : ConstructiveReals},
CMorphisms.Proper
(CMorphisms.respectful (CReq R) (CMorphisms.respectful (CReq R) (CReq R))) (@CRmin R).

Lemma CRmin_contract : forall {R : ConstructiveReals} (x y a : CRcarrier R),
CRabs _ (CRmin x a - CRmin y a) <= CRabs _ (x - y).