proposition: Lemma floor_le0 x : x <= 0 -> floor x <= 0.
proof: Proof. by move=> ?; rewrite -(@ler_int R) -RfloorE Rfloor_le0. Qed.
imports: HB(structures) mathcomp(all_ssreflect all_algebra) mathcomp(mathcomp_extra boolp classical_sets set_interval) Setoid