proposition: Lemma StepFSupBallGlueGlue : forall e o fl fr gl gr, StepFSupBall e (glue o fl fr) (glue o gl gr) <-> StepFSupBall e fl gl /\ StepFSupBall e fr gr.
proof: Proof. intros e o fl fr gl gr. unfold StepFSupBall at 1. rewrite MapGlue. rewrite ApGlueGlue. reflexivity. Qed.
imports: CoRN.algebra.RSetoid CoRN.metric2.Metric CoRN.metric2.UniformContinuity CoRN.model.totalorder.QposMinMax CoRN.metric2.StepFunctionSetoid CoRN.metric2.StepFunctionMonad CoRN.metric2.UniformContinuity CoRN.model.structures.OpenUnit Coq.QArith.QArith CoRN.model.totalorder.QMinMax Coq.QArith.Qabs CoRN.model.ordfields.Qordfield CoRN.model.metric2.Qmetric CoRN.metric2.Prelength CoRN.algebra.COrdFields2 CoRN.tactics.CornTac