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[helm.git] / helm / matita / contribs / PREDICATIVE-TOPOLOGY / domain_data.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                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+set "baseuri" "cic:/matita/PREDICATIVE-TOPOLOGY/domain_data".
+
+include "../../library/datatypes/constructors.ma".
+include "../../library/datatypes/bool.ma".
+include "domain_defs.ma".
+
+(* QUANTIFICATION DOMAINS
+   - Here we define some useful domains based on data types
+*)
+
+definition DBool : Domain \def
+   mk_Domain (mk_Class bool (true_f ?) (eq ?)).
+
+definition dbool_ixfam : \forall (C:Class). C \to C \to (DBool \to C) \def
+   \lambda C,c0,c1,b.
+   match b in bool with 
+      [ false \Rightarrow c0
+      | true \Rightarrow c1
+      ].
+
+definition DVoid : Domain \def
+   mk_Domain (mk_Class void (true_f ?) (eq ?)).
+
+definition dvoid_ixfam : \forall (C:Class). (DVoid \to C) \def
+   \lambda C,v.
+   match v in void with [].