proposition: Theorem series_order_series_0 : series_order 0%ser 0 = ∞.
proof: Proof. apply series_order_iff; intros i. rewrite series_nth_series_0; reflexivity. Qed.
imports: Utf8 QArith NPeano Misc NbarM Field2 Fsummation Power_series Puiseux_series Ps_add Ps_add_compat