proposition: Lemma ereal_nbhs_ninfty_le r : r \is Num.real -> \forall x \near -oo, r%:E >= x.
proof: Proof. by exists r; split => // ?; apply: ltW. Qed.
imports: HB(structures) mathcomp(all_ssreflect all_algebra finmap) mathcomp(mathcomp_extra boolp classical_sets functions) mathcomp(fsbigop cardinality set_interval) reals signed topology constructive_ereal