X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_1%2Ftlt%2Ffwd.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_1%2Ftlt%2Ffwd.ma;h=f284327c1d923376be5d26493167b04a19192f4c;hb=538c5526a6b3c3af44f92c9cc67d82f28995da96;hp=0000000000000000000000000000000000000000;hpb=14a8276e6d877c2281a1fda452ed3e4c150f5d39;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_1/tlt/fwd.ma b/matita/matita/contribs/lambdadelta/basic_1/tlt/fwd.ma
new file mode 100644
index 000000000..f284327c1
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/basic_1/tlt/fwd.ma
@@ -0,0 +1,51 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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_1/tlt/defs.ma".
+
+theorem tlt_wf__q_ind:
+ \forall (P: ((T \to Prop))).(((\forall (n: nat).((\lambda (P0: ((T \to 
+Prop))).(\lambda (n0: nat).(\forall (t: T).((eq nat (weight t) n0) \to (P0 
+t))))) P n))) \to (\forall (t: T).(P t)))
+\def
+ let Q \def (\lambda (P: ((T \to Prop))).(\lambda (n: nat).(\forall (t: 
+T).((eq nat (weight t) n) \to (P t))))) in (\lambda (P: ((T \to 
+Prop))).(\lambda (H: ((\forall (n: nat).(\forall (t: T).((eq nat (weight t) 
+n) \to (P t)))))).(\lambda (t: T).(let TMP_1 \def (weight t) in (let TMP_2 
+\def (weight t) in (let TMP_3 \def (refl_equal nat TMP_2) in (H TMP_1 t 
+TMP_3))))))).
+
+theorem tlt_wf_ind:
+ \forall (P: ((T \to Prop))).(((\forall (t: T).(((\forall (v: T).((tlt v t) 
+\to (P v)))) \to (P t)))) \to (\forall (t: T).(P t)))
+\def
+ let Q \def (\lambda (P: ((T \to Prop))).(\lambda (n: nat).(\forall (t: 
+T).((eq nat (weight t) n) \to (P t))))) in (\lambda (P: ((T \to 
+Prop))).(\lambda (H: ((\forall (t: T).(((\forall (v: T).((lt (weight v) 
+(weight t)) \to (P v)))) \to (P t))))).(\lambda (t: T).(let TMP_1 \def 
+(\lambda (t0: T).(P t0)) in (let TMP_11 \def (\lambda (n: nat).(let TMP_2 
+\def (\lambda (t0: T).(P t0)) in (let TMP_3 \def (Q TMP_2) in (let TMP_10 
+\def (\lambda (n0: nat).(\lambda (H0: ((\forall (m: nat).((lt m n0) \to (Q 
+(\lambda (t0: T).(P t0)) m))))).(\lambda (t0: T).(\lambda (H1: (eq nat 
+(weight t0) n0)).(let TMP_4 \def (\lambda (n1: nat).(\forall (m: nat).((lt m 
+n1) \to (\forall (t1: T).((eq nat (weight t1) m) \to (P t1)))))) in (let 
+TMP_5 \def (weight t0) in (let H2 \def (eq_ind_r nat n0 TMP_4 H0 TMP_5 H1) in 
+(let TMP_9 \def (\lambda (v: T).(\lambda (H3: (lt (weight v) (weight 
+t0))).(let TMP_6 \def (weight v) in (let TMP_7 \def (weight v) in (let TMP_8 
+\def (refl_equal nat TMP_7) in (H2 TMP_6 H3 v TMP_8)))))) in (H t0 
+TMP_9))))))))) in (lt_wf_ind n TMP_3 TMP_10))))) in (tlt_wf__q_ind TMP_1 
+TMP_11 t)))))).
+