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 CRlt_min : forall {R : ConstructiveReals} (x y z : CRcarrier R),
z < CRmin x y -> prod (z < x) (z < y).