fact: Definition abs_cases_statement (P : R -> Prop) := Proper (equiv ==> iff) P -> (forall x, Stable (P x)) -> forall x : R, (0 ≤ x -> P x) /\ (x ≤ 0 -> P (- x)) -> P (abs x).
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