proposition: Lemma cvge_ge f a b : (\forall x \near F, b <= f x) -> f @ F --> a -> b <= a.
proof: Proof. by move=> ? fa; rewrite -(cvg_lim _ fa) ?lime_ge//=; apply: cvgP fa. 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