(* Contribution to the Coq Library   V6.3 (July 1999)                    *)
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(*                          Constructive Geometry                           *)
(*                             according to                                 *)
(*                            Jan von Plato                                 *)
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(*                               Coq V5.10                                  *)
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(*			        Gilles Kahn 				    *)
(*				   INRIA                                    *)
(*		              Sophia-Antipolis		 	            *)
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(*                                                                          *)
(* Acknowledgments: This work started in Turin in May 95 with Yves Bertot.  *)
(* Thanks to the Newton Institute for providing an exceptional work         *)
(* environment in Summer 1995 so that I could complete this.                *)
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(*                       orthogonality.v                                    *)
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Parameter Unort : Line -> Line -> Prop.
Definition Ort := Negation Line Unort.
Axiom
constructed_orthogonal :
forall (l : Line) (a : Point), {l' : Line | Ort l' l /\ Incident a l'}.
Definition ort : Line -> Point -> Line.

Theorem O3_ii : forall (l : Line) (a : Point), Incident a (ort l a).