fact: Definition poly_bound (p : {poly F}) (a r : F) : F := 1 + \sum_(i < size p) `|p`_i| * (`|a| + `|r|) ^+ i.
imports: 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 bigenough)