proposition: Lemma limr_ge x f : cvg (f @ F) -> (\near F, x <= f F) -> x <= lim (f @ F).
proof: Proof. exact: cvgr_to_ge. Qed.
imports: HB(structures) mathcomp(all_ssreflect ssralg ssrint ssrnum finmap matrix) mathcomp(rat interval zmodp vector fieldext falgebra) mathcomp(mathcomp_extra boolp classical_sets functions) mathcomp(cardinality set_interval Rstruct) ereal reals signed topology prodnormedzmodule