proposition: Lemma linear_bounded_continuous (f : {linear V -> W}) : bounded_near f (nbhs 0) <-> continuous f.
proof: Proof. split; first exact: bounded_linear_continuous. by move=> /(_ 0); apply: continuous_linear_bounded. 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