fact: Definition ArcTan_multiple : forall x, -(1) <= x <= 1 -> forall n, {True} + {(nring n)[*]ArcTan (inj_Q _ x)[=]ArcTan (inj_Q _ (iter_nat n _ (f x) 0))}.
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.transc.MoreArcTan CoRN.tactics.CornTac CoRN.stdlib_omissions.Q