proposition: Lemma floorC_itv x : x \is Creal -> (floorC x)%:~R <= x < (floorC x + 1)%:~R.
proof: Proof. exact: floor_itv. Qed.
imports: HB(structures) mathcomp(ssreflect ssrbool ssrfun ssrnat eqtype seq choice) mathcomp(div fintype path bigop finset prime order ssralg) mathcomp(poly polydiv mxpoly generic_quotient countalg) mathcomp(ssrnum closed_field ssrint archimedean rat intdiv) mathcomp(algebraics_fundamentals)