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