proposition: Lemma inf_lt_alg x : 0 < x -> (inf_alg x)%:RA < x.
proof: Proof. by rewrite /inf_alg=> x_gt0; case: inf_alg_proof=> d _ /(_ x_gt0). 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)