proposition: Lemma norm_alg_pi : {morph \pi_{alg F} : x / norm_algcreal x >-> norm_alg x}.
proof: Proof. move=> x; unlock norm_alg; rewrite /norm_algcreal /le_algcreal. by do 2!case: ltVge_algcreal_dec=> //=; rewrite !(pi_opp, pi_algK, reprK). 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)