proposition: Lemma ARtoCR_preserves_sqrt (x : AR) : 'ARsqrt x = CRsqrt ('x).
proof: Proof. apply preserves_unary_complete_fun. Qed.
imports: CoRN.algebra.RSetoid CoRN.metric2.Metric CoRN.metric2.UniformContinuity Coq.setoid_ring.Ring CoRN.stdlib_omissions.Z CoRN.model.totalorder.QposMinMax CoRN.metric2.Complete CoRN.model.metric2.Qmetric Coq.ZArith.ZArith CoRN.util.Qdlog CoRN.reals.fast.CRroot CoRN.reals.faster.ARabs MathClasses.interfaces.abstract_algebra MathClasses.theory.shiftl MathClasses.theory.nat_pow MathClasses.theory.int_pow CoRN.reals.faster.ARArith CoRN.metric2.MetricMorphisms