proposition: Lemma horner_algcrealE p x : (horner_algcreal p x == p.[x])%CR.
proof: Proof. rewrite horner_coef_creal. apply: (big_ind2 (fun (u : algcreal) v => u == v)%CR)=> //. by move=> u u' v v' /= -> ->. by move=> i _ /=; rewrite exp_algcrealE. 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)