Add Parametric Morphism : CReal_mult
with signature CRealEq ==> CRealEq ==> CRealEq
as CReal_mult_morph.
#[global]
Instance CReal_mult_morph_T
: CMorphisms.Proper
(CMorphisms.respectful CRealEq (CMorphisms.respectful CRealEq CRealEq)) CReal_mult.
Add Parametric Morphism : CReal_opp
with signature CRealEq ==> CRealEq
as CReal_opp_morph.
#[global]
Instance CReal_opp_morph_T
: CMorphisms.Proper
(CMorphisms.respectful CRealEq CRealEq) CReal_opp.
Add Parametric Morphism : CReal_minus
with signature CRealEq ==> CRealEq ==> CRealEq
as CReal_minus_morph.
#[global]
Instance CReal_minus_morph_T
: CMorphisms.Proper
(CMorphisms.respectful CRealEq (CMorphisms.respectful CRealEq CRealEq)) CReal_minus.
Add Ring CRealRing : CReal_isRing.

Lemma CReal_abs_appart_zero : forall (x : CReal) (n : Z),
(2*2^n < Qabs (seq x n))%Q
-> 0 # x.