fact: Definition no_root_for (f : R -> R) (x y : R) : Prop := forall z, x < z < y -> f z != 0.
imports: mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat binomial seq choice order) mathcomp(fintype bigop ssralg poly ssrnum ssrint rat ssrnum) mathcomp(polyrcf qe_rcf_th realalg) pol poly_normal desc