proposition: Lemma compress_fun_correct : forall x, (compress_fun x==x)%CR.
proof: Proof. intros x. apply regFunEq_equiv, regFunEq_e. intros e. unfold compress_fun. unfold approximate at 1. rewrite <- ball_Cunit. eapply ball_triangle;[|apply ball_approx_r]. apply ball_sym. apply compress_raw_prop. Qed.
imports: CoRN.algebra.RSetoid CoRN.metric2.Metric CoRN.metric2.UniformContinuity CoRN.model.totalorder.QposMinMax CoRN.model.metric2.CRmetric CoRN.model.metric2.Qmetric Coq.ZArith.Zdiv