proposition: Lemma riemann_sum_0 (a : Q) (n : positive) : riemann_sum a 0 n [=] 0%CR.
proof: Proof. unfold riemann_sum. apply cmΣ_0. intros m _. generalize (f(a+m*step 0 n)). intros. rewrite (step_0 n). ring. Qed.
imports: CoRN.algebra.RSetoid CoRN.metric2.Metric CoRN.metric2.UniformContinuity CoRN.model.reals.CRreal Coq.Unicode.Utf8 Coq.Program.Program CoRN.reals.fast.CRArith CoRN.reals.fast.CRabs CoRN.tactics.Qauto Coq.QArith.Qround CoRN.model.metric2.Qmetric CoRN.stdlib_omissions.P CoRN.stdlib_omissions.Z CoRN.stdlib_omissions.Q CoRN.stdlib_omissions.N CoRN.ode.metric CoRN.ode.FromMetric2 CoRN.ode.SimpleIntegration