proposition: Lemma Rfloor_lt_int x (z : int) : (x < z%:~R) = (Rfloor x < z%:~R).
proof: Proof. by rewrite ltNge Rfloor_ge_int -ltNge. Qed.
imports: HB(structures) mathcomp(all_ssreflect all_algebra) mathcomp(mathcomp_extra boolp classical_sets set_interval) Setoid