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[helm.git] / matita / contribs / LAMBDA-TYPES / LambdaDelta-1 / C / defs.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                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+(* This file was automatically generated: do not edit *********************)
+
+include "LambdaDelta-1/T/defs.ma".
+
+inductive C: Set \def
+| CSort: nat \to C
+| CHead: C \to (K \to (T \to C)).
+
+definition cweight:
+ C \to nat
+\def
+ let rec cweight (c: C) on c: nat \def (match c with [(CSort _) \Rightarrow O 
+| (CHead c0 _ t) \Rightarrow (plus (cweight c0) (tweight t))]) in cweight.
+
+definition clt:
+ C \to (C \to Prop)
+\def
+ \lambda (c1: C).(\lambda (c2: C).(lt (cweight c1) (cweight c2))).
+
+definition cle:
+ C \to (C \to Prop)
+\def
+ \lambda (c1: C).(\lambda (c2: C).(le (cweight c1) (cweight c2))).
+
+definition CTail:
+ K \to (T \to (C \to C))
+\def
+ let rec CTail (k: K) (t: T) (c: C) on c: C \def (match c with [(CSort n) 
+\Rightarrow (CHead (CSort n) k t) | (CHead d h u) \Rightarrow (CHead (CTail k 
+t d) h u)]) in CTail.
+