proposition: Lemma ereal_nbhs_ninfty_lt r : r \is Num.real -> \forall x \near -oo, r%:E > x.
proof: Proof. by exists r. 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