update in lambdadelta

[helm.git] / matita / matita / contribs / lambdadelta / basic_1A / csubv / fwd.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_1A/csubv/fwd.ma b/matita/matita/contribs/lambdadelta/basic_1A/csubv/fwd.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 "basic_1A/csubv/defs.ma".
+
+implied rec lemma csubv_ind (P: (C \to (C \to Prop))) (f: (\forall (n: 
+nat).(P (CSort n) (CSort n)))) (f0: (\forall (c1: C).(\forall (c2: C).((csubv 
+c1 c2) \to ((P c1 c2) \to (\forall (v1: T).(\forall (v2: T).(P (CHead c1 
+(Bind Void) v1) (CHead c2 (Bind Void) v2))))))))) (f1: (\forall (c1: 
+C).(\forall (c2: C).((csubv c1 c2) \to ((P c1 c2) \to (\forall (b1: B).((not 
+(eq B b1 Void)) \to (\forall (b2: B).(\forall (v1: T).(\forall (v2: T).(P 
+(CHead c1 (Bind b1) v1) (CHead c2 (Bind b2) v2)))))))))))) (f2: (\forall (c1: 
+C).(\forall (c2: C).((csubv c1 c2) \to ((P c1 c2) \to (\forall (f2: 
+F).(\forall (f3: F).(\forall (v1: T).(\forall (v2: T).(P (CHead c1 (Flat f2) 
+v1) (CHead c2 (Flat f3) v2))))))))))) (c: C) (c0: C) (c1: csubv c c0) on c1: 
+P c c0 \def match c1 with [(csubv_sort n) \Rightarrow (f n) | (csubv_void c2 
+c3 c4 v1 v2) \Rightarrow (f0 c2 c3 c4 ((csubv_ind P f f0 f1 f2) c2 c3 c4) v1 
+v2) | (csubv_bind c2 c3 c4 b1 n b2 v1 v2) \Rightarrow (f1 c2 c3 c4 
+((csubv_ind P f f0 f1 f2) c2 c3 c4) b1 n b2 v1 v2) | (csubv_flat c2 c3 c4 f3 
+f4 v1 v2) \Rightarrow (f2 c2 c3 c4 ((csubv_ind P f f0 f1 f2) c2 c3 c4) f3 f4 
+v1 v2)].
+