forall x l1 l2, IsLimit x l1 -> IsLimit x l2 -> l1 = l2. Proof. intros x l1 l2 E1 E2. apply separated. intros e. rewrite (pos_split2 e),(pos_split2 (e/2)). apply triangular with (x (e / 2 / 2));[symmetry;apply E1|apply E2]. Qed.
Require Import Import NatPair.Instances. Import Quoting.Instances.