proposition: Lemma complexIm (x : R[i]) : (Im x)%:C = 'Im x.
proof: Proof. rewrite {1}[x]Crect raddfD /= mulrC ImiRe rmorphD /=. by rewrite ?RRe_real ?RIm_real ?Creal_Im ?Creal_Re // add0r. Qed.
imports: HB(structures) mathcomp.ssreflect.ssreflect mathcomp(ssrfun ssrbool eqtype ssrnat seq choice fintype) mathcomp(bigop order ssralg ssrint div ssrnum rat poly closed_field) mathcomp(polyrcf matrix mxalgebra tuple mxpoly zmodp binomial realalg) mathcomp(mxpoly)