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_opp_mult_distr_l
: forall r1 r2 : CReal, - (r1 * r2) == (- r1) * r2.