proposition: Lemma near_mapi {T U} (f : T -> set U) (F : set_system T) (P : set U) : (\forall y \near f `@ F, P y) = (\forall x \near F, exists y, f x y /\ P y).
proof: Proof. by []. Qed.
imports: HB(structures) mathcomp(all_ssreflect all_algebra finmap generic_quotient) mathcomp(boolp classical_sets functions) mathcomp(cardinality mathcomp_extra fsbigop) reals signed