proposition: Lemma integral_proper: Proper (Qeq ==> QnonNeg.eq ==> @msp_eq _) (∫ f).
proof: Proof. Proof with auto. intros ?????. induction x0 using QnonNeg.rect; induction y0 using QnonNeg.rect. reflexivity. discriminate. discriminate. intros. apply pre_wd... Qed.
imports: CoRN.metric2.Metric CoRN.metric2.UniformContinuity CoRN.model.reals.CRreal CoRN.stdlib_omissions.List Coq.Unicode.Utf8 Coq.QArith.QArith Coq.QArith.Qabs CoRN.model.totalorder.QposMinMax CoRN.util.Qsums CoRN.model.metric2.Qmetric CoRN.model.setoids.Qsetoid CoRN.reals.fast.CRArith QnonNeg CoRN.util.Qgcd Coq.Program.Program CoRN.reals.fast.uneven_CRplus CoRN.stdlib_omissions.P CoRN.stdlib_omissions.Z CoRN.stdlib_omissions.Q CoRN.tactics.Qauto CoRN.ode.metric CoRN.ode.FromMetric2 MathClasses.implementations.stdlib_rationals