proposition: Lemma __deprecated__ereal_cvgPninfty (R : realFieldType) (u_ : (\bar R)^nat) : u_ @ \oo --> -oo <-> (forall A, (A < 0)%R -> \forall n \near \oo, u_ n <= A%:E).
proof: Proof. by split=> [/cvgeNyPle//|u_ge]; apply/cvgeNyPleNy; near=> x; apply: u_ge. Unshelve. all: by end_near. Qed.
imports: mathcomp(all_ssreflect ssralg ssrint ssrnum matrix) mathcomp(interval rat) mathcomp(mathcomp_extra boolp classical_sets functions) mathcomp(set_interval) reals ereal signed topology normedtype landau