proposition: Lemma int_negate (f : Q -> CR) `{!IsUniformlyContinuous f f_mu} (a b : Q) : int (- f) a b = - int f a b.
proof: Proof. unfold int; destruct (decide (a ≤ b)). rewrite integrate_negate. reflexivity. pose proof (integrate_negate f b ((a - b) ↾ int_obligation_2 a b n)). rewrite H. reflexivity. 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 MathClasses.misc.propholds