proposition: Lemma near_nbhs_norm (x : V) (P : V -> Prop) : (\forall x \near nbhs_norm x, P x) = \near x, P x.
proof: Proof. exact: nbhs_normE. 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