proposition: Lemma near_join (T : topologicalType) (x : T) (P : set T) : (\near x, P x) -> \near x, \near x, P x.
proof: Proof. exact: nbhs_interior. Qed.
imports: HB(structures) mathcomp(all_ssreflect all_algebra finmap generic_quotient) mathcomp(boolp classical_sets functions) mathcomp(cardinality mathcomp_extra fsbigop) reals signed