proposition: Lemma continuousfor0_continuous (f : {linear V -> W}) : {for 0, continuous f} -> continuous f.
proof: Proof. by move=> /continuous_linear_bounded/bounded_linear_continuous. 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