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Require Import Morphisms.
Require Export hybrid.geometry.
Require Export hybrid.vector_setoid.
Set Implicit Arguments.
Open Local Scope CR_scope.
Definition HCube n : Type := vector Range n.
Definition OpenQHCube n : Set := vector OpenQRange n.
Definition OpenHCube n : Type := vector OpenRange n.
Definition HyperPoint n : CSetoid := vecCSetoid CRasCSetoid n.
Definition in_ohypercube n (p : HyperPoint n) (s : OpenHCube n) : Prop :=
Vforall2n in_orange s p.