proposition: Lemma compact_near_coveringP A : compact A <-> near_covering A.
proof: Proof. by split; [exact: compact_near_covering| exact: near_covering_compact]. Qed.
imports: HB(structures) mathcomp(all_ssreflect all_algebra finmap generic_quotient) mathcomp(boolp classical_sets functions) mathcomp(cardinality mathcomp_extra fsbigop) reals signed