fact: Definition ARcauchy_sequence (xn : nat -> AR) : Set := ∀ p : positive, {n : nat | ∀ i j : nat, (n <= i)%nat → (n <= j)%nat → ARltT (inject_Q_AR (1 # p)) (ARabs (ARplus (xn i) (ARopp (xn j)))) → False}.
imports: Coq.Reals.Abstract.ConstructiveReals CoRN.reals.faster.ARArith CoRN.reals.faster.ARabs CoRN.metric2.Metric CoRN.metric2.Complete CoRN.metric2.MetricMorphisms CoRN.model.metric2.Qmetric CoRN.model.totalorder.QposMinMax CoRN.reals.fast.CRArith CoRN.reals.fast.CRabs ConstructiveFastReals