proposition: Lemma Cap_prf X Y plX : is_UniformlyContinuousFunction (@Cap_weak X Y plX) Qpos2QposInf.
proof: Proof. intros e a b Hab. apply (ball_wd _ eq_refl _ _ (Cap_weak_correct plX a) _ _ (Cap_weak_correct plX b)). apply Cap_slow_prf. assumption. Qed.
imports: CoRN.metric2.Metric CoRN.metric2.UniformContinuity CoRN.metric2.Complete CoRN.model.totalorder.QMinMax CoRN.model.totalorder.QposMinMax CoRN.stdlib_omissions.List CoRN.stdlib_omissions.Q