proposition: Lemma nearW {T : Type} {F : set_system T} (P : T -> Prop) : Filter F -> (forall x, P x) -> (\forall x \near F, P x).
proof: Proof. by move=> FF FP; apply: filterS filterT. Qed.
imports: HB(structures) mathcomp(all_ssreflect all_algebra finmap generic_quotient) mathcomp(boolp classical_sets functions) mathcomp(cardinality mathcomp_extra fsbigop) reals signed