(* Contribution to the Coq Library   V6.3 (July 1999)                    *)
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(*                                                                          *)
(*                          Constructive Geometry                           *)
(*                             according to                                 *)
(*                            Jan von Plato                                 *)
(*                                                                          *)
(*                               Coq V5.10                                  *)
(*									    *)
(*			        Gilles Kahn 				    *)
(*				   INRIA                                    *)
(*		              Sophia-Antipolis		 	            *)
(*									    *)
(*                                                                          *)
(* 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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(*                               part3.v                                    *)
(* I don't follow exactly the original in the proofs of the Triangle axioms *)
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(* Specifications: *)
Theorem Triangle_axioms_i :
forall t : Triangle, Apart (origin (base t)) (ln (Side2 t)).
Theorem Triangle_axioms_ii :
forall t : Triangle, Apart (extremity (base t)) (ln (reverse (Side1 t))).
Theorem Triangle_axioms_iii :
forall t : Triangle, Apart (summit t) (ln (reverse (base t))).