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(* Formalization of the Chou, Gao and Zhang's decision procedure.          *)
(* Julien Narboux (Julien@narboux.fr)                                      *)
(* LIX/INRIA FUTURS 2004-2006                                              *)
(* University of Strasbourg 2008                                           *)
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Require Export advanced_parallel_lemmas.
Require Export geometry_tools.
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(*  Elimination Theorems                                               *)
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(* Area elimination *)

Theorem non_zero_denom_on_inter_parallel_parallel_area :
forall A B C D E G H : Point, on_inter_parallel_parallel A B C D E G H -> S4 C G D H <> 0.