proposition: Lemma near_map {T U} (f : T -> U) (F : set_system T) (P : set U) : (\forall y \near f @ F, P y) = (\forall x \near F, P (f x)).
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