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CslibFrontier.Foundations.Geometry.Polygonal.RouteInterior

Interior parameters of polygonal routes #

An interior parameter of any listed segment lies strictly between the two original route ends. This separates actual segment interiors from permitted loop closure contacts.

theorem Cslib.Polygonal.Route.not_atEnd_of_mem_Ioo (p : Route) (i : Fin p.segments) {t : ℝ} (ht : t ∈ Set.Ioo 0 1) (tag : Bool) :
¬p.AtEnd i t tag

An interior segment parameter is never either original route end.