proposition: Lemma cover_vitali_collection_partition : V = \bigcup_n vitali_collection_partition n.
proof: Proof. apply/seteqP; split => [|i [n _] []//]. by move=> i Vi; have [n Hn] := ex_vitali_collection_partition Vi; exists n. Qed.
imports: HB(structures) mathcomp(all_ssreflect ssralg ssrint ssrnum finmap matrix) mathcomp(rat interval zmodp vector fieldext falgebra) mathcomp(mathcomp_extra boolp classical_sets functions) mathcomp(cardinality set_interval Rstruct) ereal reals signed topology prodnormedzmodule