proposition: Lemma equiv_alg (x y : algcreal) : (x == y)%CR <-> (x = y %[mod {alg F}]).
proof: Proof. split; first by move=> /eq_algcrealP /eqquotP ->. by move=> /eqquotP /eq_algcrealP. Qed.
imports: HB(structures) mathcomp.ssreflect.ssreflect mathcomp(ssrfun ssrbool eqtype ssrnat seq choice fintype) mathcomp(bigop order ssralg ssrnum ssrint rat poly polydiv polyorder) mathcomp(perm matrix mxpoly polyXY binomial generic_quotient) mathcomp(cauchyreals separable zmodp bigenough)