proposition: Lemma ereal_inf0 : ereal_inf set0 = +oo.
proof: Proof. by rewrite /ereal_inf image_set0 ereal_sup0. 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