proposition: Lemma AQsqrt_mid_bounded_raw_lower_bound (n : N) : 0 ≤ AQsqrt_mid_bounded_raw n.
proof: Proof. unfold AQsqrt_mid_bounded_raw. apply shiftl_nonneg, AQsqrt_loop_snd_nonneg. 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