proposition: Lemma lt_alg_pi : {mono \pi_{alg F} : x y / lt_algcreal x y >-> lt_alg x y}.
proof: Proof. move=> x y; unlock lt_alg; rewrite /lt_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)