proposition: Lemma DthreeXMinusFourX3 : Derivative (clcr (inj_Q IR (-(1))) (inj_Q IR (1:Q))) (inj_Q_less _ (-1) 1 eq_refl) ((Three:IR){**}FId{-}(Four:IR){**}FId{^}3) ((Three:IR){**}[-C-]([1]:IR){-}(Four:IR){**}((nring 3){**}([-C-][1]{*}FId{^}2))).
proof: Proof. apply Derivative_minus. apply Derivative_scal. apply Derivative_id. apply Derivative_scal. apply Derivative_nth. apply Derivative_id. Qed.
imports: CoRN.algebra.RSetoid CoRN.metric2.Metric CoRN.metric2.UniformContinuity CoRN.model.totalorder.QMinMax CoRN.reals.fast.CRAlternatingSum CoRN.reals.fast.CRAlternatingSum_alg CoRN.reals.fast.CRstreams CoRN.reals.fast.CRexp CoRN.reals.fast.CRpi CoRN.reals.fast.CRArith CoRN.reals.fast.CRIR Coq.QArith.Qpower Coq.QArith.Qabs CoRN.model.ordfields.Qordfield Coq.QArith.Qround CoRN.transc.Pi CoRN.reals.fast.ModulusDerivative CoRN.reals.fast.ContinuousCorrect CoRN.model.metric2.Qmetric CoRN.transc.PowerSeries CoRN.transc.SinCos Coq.NArith.Ndigits CoRN.reals.fast.Compress CoRN.reals.fast.PowerBound CoRN.tactics.CornTac MathClasses.interfaces.abstract_algebra CoRN.util.Qdlog Coq(Lia)