proposition: Lemma le_floor : {homo @floor R : x y / x <= y}.
proof: Proof. by move=>*; rewrite -(@ler_int R) !RtointK ?isint_Rfloor ?le_Rfloor. Qed.
imports: HB(structures) mathcomp(all_ssreflect all_algebra) mathcomp(mathcomp_extra boolp classical_sets set_interval) Setoid