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[helm.git] / matita / contribs / LAMBDA-TYPES / LambdaDelta-1 / tlt / 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".
+
+definition wadd:
+ ((nat \to nat)) \to (nat \to (nat \to nat))
+\def
+ \lambda (f: ((nat \to nat))).(\lambda (w: nat).(\lambda (n: nat).(match n 
+with [O \Rightarrow w | (S m) \Rightarrow (f m)]))).
+
+definition weight_map:
+ ((nat \to nat)) \to (T \to nat)
+\def
+ let rec weight_map (f: ((nat \to nat))) (t: T) on t: nat \def (match t with 
+[(TSort _) \Rightarrow O | (TLRef n) \Rightarrow (f n) | (THead k u t0) 
+\Rightarrow (match k with [(Bind b) \Rightarrow (match b with [Abbr 
+\Rightarrow (S (plus (weight_map f u) (weight_map (wadd f (S (weight_map f 
+u))) t0))) | Abst \Rightarrow (S (plus (weight_map f u) (weight_map (wadd f 
+O) t0))) | Void \Rightarrow (S (plus (weight_map f u) (weight_map (wadd f O) 
+t0)))]) | (Flat _) \Rightarrow (S (plus (weight_map f u) (weight_map f 
+t0)))])]) in weight_map.
+
+definition weight:
+ T \to nat
+\def
+ weight_map (\lambda (_: nat).O).
+
+definition tlt:
+ T \to (T \to Prop)
+\def
+ \lambda (t1: T).(\lambda (t2: T).(lt (weight t1) (weight t2))).
+