proposition: Lemma floor0 : floor (0 : R) = 0.
proof: Proof. by rewrite /floor Rfloor0 (_ : 0 = 0%:R) // Rtointn. Qed.
imports: HB(structures) mathcomp(all_ssreflect all_algebra) mathcomp(mathcomp_extra boolp classical_sets set_interval) Setoid