fact: Definition cauchy_bound (p : {poly R}) := 1 + `|lead_coef p|^-1 * \sum_(i < size p) `|p`_i|.
imports: mathcomp.ssreflect.ssreflect mathcomp(ssrfun ssrbool eqtype ssrnat seq choice fintype) mathcomp(bigop order ssralg poly polydiv ssrnum zmodp) mathcomp(polyorder path interval ssrint)