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[helm.git] / matita / contribs / LAMBDA-TYPES / LambdaDelta-1 / pr0 / defs.ma

diff --git a/matita/contribs/LAMBDA-TYPES/LambdaDelta-1/pr0/defs.ma b/matita/contribs/LAMBDA-TYPES/LambdaDelta-1/pr0/defs.ma
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+++ b/matita/contribs/LAMBDA-TYPES/LambdaDelta-1/pr0/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/subst0/defs.ma".
+
+inductive pr0: T \to (T \to Prop) \def
+| pr0_refl: \forall (t: T).(pr0 t t)
+| pr0_comp: \forall (u1: T).(\forall (u2: T).((pr0 u1 u2) \to (\forall (t1: 
+T).(\forall (t2: T).((pr0 t1 t2) \to (\forall (k: K).(pr0 (THead k u1 t1) 
+(THead k u2 t2))))))))
+| pr0_beta: \forall (u: T).(\forall (v1: T).(\forall (v2: T).((pr0 v1 v2) \to 
+(\forall (t1: T).(\forall (t2: T).((pr0 t1 t2) \to (pr0 (THead (Flat Appl) v1 
+(THead (Bind Abst) u t1)) (THead (Bind Abbr) v2 t2))))))))
+| pr0_upsilon: \forall (b: B).((not (eq B b Abst)) \to (\forall (v1: 
+T).(\forall (v2: T).((pr0 v1 v2) \to (\forall (u1: T).(\forall (u2: T).((pr0 
+u1 u2) \to (\forall (t1: T).(\forall (t2: T).((pr0 t1 t2) \to (pr0 (THead 
+(Flat Appl) v1 (THead (Bind b) u1 t1)) (THead (Bind b) u2 (THead (Flat Appl) 
+(lift (S O) O v2) t2)))))))))))))
+| pr0_delta: \forall (u1: T).(\forall (u2: T).((pr0 u1 u2) \to (\forall (t1: 
+T).(\forall (t2: T).((pr0 t1 t2) \to (\forall (w: T).((subst0 O u2 t2 w) \to 
+(pr0 (THead (Bind Abbr) u1 t1) (THead (Bind Abbr) u2 w)))))))))
+| pr0_zeta: \forall (b: B).((not (eq B b Abst)) \to (\forall (t1: T).(\forall 
+(t2: T).((pr0 t1 t2) \to (\forall (u: T).(pr0 (THead (Bind b) u (lift (S O) O 
+t1)) t2))))))
+| pr0_tau: \forall (t1: T).(\forall (t2: T).((pr0 t1 t2) \to (\forall (u: 
+T).(pr0 (THead (Flat Cast) u t1) t2)))).
+