proposition: Lemma arctan_Qarctan : forall x : Q, (arctan (' x) == rational_arctan x)%CR.
proof: Proof. intros x. unfold arctan. pose proof (Cbind_correct QPrelengthSpace arctan_uc). apply ucEq_equiv in H. rewrite -> (H (' x))%CR. apply BindLaw1. Qed.
imports: CoRN.algebra.RSetoid CoRN.metric2.Metric CoRN.metric2.UniformContinuity CoRN.reals.fast.CRArith CoRN.reals.fast.CRIR CoRN.reals.Q_in_CReals CoRN.model.totalorder.QMinMax CoRN.reals.fast.CRarctan_small CoRN.reals.fast.CRpi CoRN.transc.MoreArcTan CoRN.reals.fast.ModulusDerivative CoRN.reals.fast.ContinuousCorrect CoRN.tactics.CornTac CoRN.stdlib_omissions.Q MathClasses.interfaces.abstract_algebra Coq.micromega.Psatz