proposition: Lemma lt_succ_floor x : x \is Rreal -> x < (floor x + 1)%:~R.
proof: Proof. by move=> /floor_itv /andP[]. Qed.
imports: HB(structures) mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat seq choice) mathcomp(fintype bigop order ssralg poly ssrnum ssrint)