update in lambdadelta

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

diff --git a/matita/matita/contribs/lambdadelta/basic_1A/A/fwd.ma b/matita/matita/contribs/lambdadelta/basic_1A/A/fwd.ma
new file mode 100644 (file)
index 0000000..64aa776
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/basic_1A/A/fwd.ma
@@ -0,0 +1,31 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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/A/defs.ma".
+
+implied rec lemma A_rect (P: (A \to Type[0])) (f: (\forall (n: nat).(\forall 
+(n0: nat).(P (ASort n n0))))) (f0: (\forall (a: A).((P a) \to (\forall (a0: 
+A).((P a0) \to (P (AHead a a0))))))) (a: A) on a: P a \def match a with 
+[(ASort n n0) \Rightarrow (f n n0) | (AHead a0 a1) \Rightarrow (f0 a0 
+((A_rect P f f0) a0) a1 ((A_rect P f f0) a1))].
+
+implied lemma A_ind:
+ \forall (P: ((A \to Prop))).(((\forall (n: nat).(\forall (n0: nat).(P (ASort 
+n n0))))) \to (((\forall (a: A).((P a) \to (\forall (a0: A).((P a0) \to (P 
+(AHead a a0))))))) \to (\forall (a: A).(P a))))
+\def
+ \lambda (P: ((A \to Prop))).(A_rect P).
+