proposition: Lemma add_Re2_Im2 (z : R[i]) : ((Re z)^+2 + (Im z)^+2)%:C = `|z|^+2.
proof: Proof. by rewrite normc_def -rmorphX sqr_sqrtr ?addr_ge0 ?sqr_ge0. 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)