proposition: Lemma ex_lim_seq_incr_1 (u : nat -> R) : ex_lim_seq u <-> ex_lim_seq (fun n => u (S n)).
proof: Proof. split ; move => [l H] ; exists l. by apply -> is_lim_seq_incr_1. by apply is_lim_seq_incr_1. Qed.
imports: Coq(Reals Psatz ssreflect) Rcomplements Rbar Lub Markov Hierarchy