proposition: Lemma le_alg_pi : {mono \pi_{alg F} : x y / le_algcreal x y >-> le_alg x y}.
proof: Proof. move=> x y; unlock le_alg; rewrite /le_algcreal. by do 2!case: ltVge_algcreal_dec=> //=; rewrite !pi_algK. 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)