proposition: Lemma floor_natz n : floor (n%:R : R) = n%:~R :> int.
proof: Proof. by rewrite /floor (Rfloor_natz n) Rtointz intz. Qed.
imports: HB(structures) mathcomp(all_ssreflect all_algebra) mathcomp(mathcomp_extra boolp classical_sets set_interval) Setoid