proposition: Lemma uniformly_continue_xlnx : uniform_continuity xlnx (fun x => 0 <= x <= 1).
proof: Proof. apply Heine ; first by apply compact_P3. move=> x _ ; by apply continue_xlnx. Qed.
imports: mathcomp(all_ssreflect ssralg ssrnum) mathcomp(Rstruct) Reals Lra ssrR realType_ext Reals_ext Ranalysis_ext logb convex