some renaming to free the baseuri cic:/matita/lambda

[helm.git] / matita / matita / lib / pts_dummy_new / cube.ma

diff --git a/matita/matita/lib/pts_dummy_new/cube.ma b/matita/matita/lib/pts_dummy_new/cube.ma
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+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||M||                                                             *)
+(*      ||A||       A project by Andrea Asperti                           *)
+(*      ||T||                                                             *)
+(*      ||I||       Developers:                                           *)
+(*      ||T||         The HELM team.                                      *)
+(*      ||A||         http://helm.cs.unibo.it                             *)
+(*      \   /                                                             *)
+(*       \ /        This file is distributed under the terms of the       *)
+(*        v         GNU General Public License Version 2                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+include "convertibility.ma".
+include "types.ma".
+
+(* PURE TYPE SYSTEMS OF THE λ-CUBE ********************************************)
+
+inductive Cube_Ax: nat → nat → Prop ≝
+  | star_box: Cube_Ax 0 1
+.
+
+(* The λPω pure type system (a.k.a. λC or CC) *********************************)
+
+inductive CC_Re: nat → nat → nat → Prop ≝
+   | star_star: CC_Re 0 0 0
+   | box_star : CC_Re 1 0 0
+   | box_box  : CC_Re 1 1 1
+   | star_box : CC_Re 0 1 1
+.
+
+definition CC: pts ≝ mk_pts Cube_Ax CC_Re conv.
+
+(* The λω pure type system (a.k.a. Fω) ****************************************)
+
+inductive FO_Re: nat → nat → nat → Prop ≝
+   | star_star: FO_Re 0 0 0
+   | box_star : FO_Re 1 0 0
+   | box_box  : FO_Re 1 1 1
+.
+
+definition FO: pts ≝ mk_pts Cube_Ax FO_Re conv.