proposition: Lemma floor_lt_int x (z : int) : (x < z%:~R) = (floor x < z).
proof: Proof. by rewrite Rfloor_lt_int RfloorE ltr_int. Qed.
imports: HB(structures) mathcomp(all_ssreflect all_algebra) mathcomp(mathcomp_extra boolp classical_sets set_interval) Setoid