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[helm.git] / matita / contribs / LAMBDA-TYPES / LambdaDelta-1 / arity / defs.ma

diff --git a/matita/contribs/LAMBDA-TYPES/LambdaDelta-1/arity/defs.ma b/matita/contribs/LAMBDA-TYPES/LambdaDelta-1/arity/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/leq/defs.ma".
+
+include "LambdaDelta-1/getl/defs.ma".
+
+inductive arity (g: G): C \to (T \to (A \to Prop)) \def
+| arity_sort: \forall (c: C).(\forall (n: nat).(arity g c (TSort n) (ASort O 
+n)))
+| arity_abbr: \forall (c: C).(\forall (d: C).(\forall (u: T).(\forall (i: 
+nat).((getl i c (CHead d (Bind Abbr) u)) \to (\forall (a: A).((arity g d u a) 
+\to (arity g c (TLRef i) a)))))))
+| arity_abst: \forall (c: C).(\forall (d: C).(\forall (u: T).(\forall (i: 
+nat).((getl i c (CHead d (Bind Abst) u)) \to (\forall (a: A).((arity g d u 
+(asucc g a)) \to (arity g c (TLRef i) a)))))))
+| arity_bind: \forall (b: B).((not (eq B b Abst)) \to (\forall (c: 
+C).(\forall (u: T).(\forall (a1: A).((arity g c u a1) \to (\forall (t: 
+T).(\forall (a2: A).((arity g (CHead c (Bind b) u) t a2) \to (arity g c 
+(THead (Bind b) u t) a2)))))))))
+| arity_head: \forall (c: C).(\forall (u: T).(\forall (a1: A).((arity g c u 
+(asucc g a1)) \to (\forall (t: T).(\forall (a2: A).((arity g (CHead c (Bind 
+Abst) u) t a2) \to (arity g c (THead (Bind Abst) u t) (AHead a1 a2))))))))
+| arity_appl: \forall (c: C).(\forall (u: T).(\forall (a1: A).((arity g c u 
+a1) \to (\forall (t: T).(\forall (a2: A).((arity g c t (AHead a1 a2)) \to 
+(arity g c (THead (Flat Appl) u t) a2)))))))
+| arity_cast: \forall (c: C).(\forall (u: T).(\forall (a: A).((arity g c u 
+(asucc g a)) \to (\forall (t: T).((arity g c t a) \to (arity g c (THead (Flat 
+Cast) u t) a))))))
+| arity_repl: \forall (c: C).(\forall (t: T).(\forall (a1: A).((arity g c t 
+a1) \to (\forall (a2: A).((leq g a1 a2) \to (arity g c t a2)))))).
+