proposition: Lemma norm_continuous : continuous (normr : V -> K).
proof: Proof. move=> x; apply/cvgrPdist_lt => e e0; apply/nbhs_normP; exists e => //= y. exact/le_lt_trans/ler_dist_dist. Qed.
imports: HB(structures) mathcomp(all_ssreflect ssralg ssrint ssrnum finmap matrix) mathcomp(rat interval zmodp vector fieldext falgebra) mathcomp(mathcomp_extra boolp classical_sets functions) mathcomp(cardinality set_interval Rstruct) ereal reals signed topology prodnormedzmodule