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diff --git a/matita/contribs/LAMBDA-TYPES/LambdaDelta-1/flt/props.ma b/matita/contribs/LAMBDA-TYPES/LambdaDelta-1/flt/props.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/flt/defs.ma".
+
+include "LambdaDelta-1/C/props.ma".
+
+theorem flt_thead_sx:
+ \forall (k: K).(\forall (c: C).(\forall (u: T).(\forall (t: T).(flt c u c 
+(THead k u t)))))
+\def
+ \lambda (_: K).(\lambda (c: C).(\lambda (u: T).(\lambda (t: 
+T).(le_lt_plus_plus (cweight c) (cweight c) (tweight u) (S (plus (tweight u) 
+(tweight t))) (le_n (cweight c)) (le_n_S (tweight u) (plus (tweight u) 
+(tweight t)) (le_plus_l (tweight u) (tweight t))))))).
+
+theorem flt_thead_dx:
+ \forall (k: K).(\forall (c: C).(\forall (u: T).(\forall (t: T).(flt c t c 
+(THead k u t)))))
+\def
+ \lambda (_: K).(\lambda (c: C).(\lambda (u: T).(\lambda (t: 
+T).(le_lt_plus_plus (cweight c) (cweight c) (tweight t) (S (plus (tweight u) 
+(tweight t))) (le_n (cweight c)) (le_n_S (tweight t) (plus (tweight u) 
+(tweight t)) (le_plus_r (tweight u) (tweight t))))))).
+
+theorem flt_shift:
+ \forall (k: K).(\forall (c: C).(\forall (u: T).(\forall (t: T).(flt (CHead c 
+k u) t c (THead k u t)))))
+\def
+ \lambda (_: K).(\lambda (c: C).(\lambda (u: T).(\lambda (t: T).(eq_ind nat 
+(S (plus (cweight c) (plus (tweight u) (tweight t)))) (\lambda (n: nat).(lt 
+(plus (plus (cweight c) (tweight u)) (tweight t)) n)) (eq_ind_r nat (plus 
+(plus (cweight c) (tweight u)) (tweight t)) (\lambda (n: nat).(lt (plus (plus 
+(cweight c) (tweight u)) (tweight t)) (S n))) (le_n (S (plus (plus (cweight 
+c) (tweight u)) (tweight t)))) (plus (cweight c) (plus (tweight u) (tweight 
+t))) (plus_assoc_l (cweight c) (tweight u) (tweight t))) (plus (cweight c) (S 
+(plus (tweight u) (tweight t)))) (plus_n_Sm (cweight c) (plus (tweight u) 
+(tweight t))))))).
+
+theorem flt_arith0:
+ \forall (k: K).(\forall (c: C).(\forall (t: T).(\forall (i: nat).(flt c t 
+(CHead c k t) (TLRef i)))))
+\def
+ \lambda (_: K).(\lambda (c: C).(\lambda (t: T).(\lambda (_: 
+nat).(lt_x_plus_x_Sy (plus (cweight c) (tweight t)) O)))).
+
+theorem flt_arith1:
+ \forall (k1: K).(\forall (c1: C).(\forall (c2: C).(\forall (t1: T).((cle 
+(CHead c1 k1 t1) c2) \to (\forall (k2: K).(\forall (t2: T).(\forall (i: 
+nat).(flt c1 t1 (CHead c2 k2 t2) (TLRef i)))))))))
+\def
+ \lambda (_: K).(\lambda (c1: C).(\lambda (c2: C).(\lambda (t1: T).(\lambda 
+(H: (le (plus (cweight c1) (tweight t1)) (cweight c2))).(\lambda (_: 
+K).(\lambda (t2: T).(\lambda (_: nat).(le_lt_trans (plus (cweight c1) 
+(tweight t1)) (cweight c2) (plus (plus (cweight c2) (tweight t2)) (S O)) H 
+(eq_ind_r nat (plus (S O) (plus (cweight c2) (tweight t2))) (\lambda (n: 
+nat).(lt (cweight c2) n)) (le_lt_n_Sm (cweight c2) (plus (cweight c2) 
+(tweight t2)) (le_plus_l (cweight c2) (tweight t2))) (plus (plus (cweight c2) 
+(tweight t2)) (S O)) (plus_sym (plus (cweight c2) (tweight t2)) (S 
+O))))))))))).
+
+theorem flt_arith2:
+ \forall (c1: C).(\forall (c2: C).(\forall (t1: T).(\forall (i: nat).((flt c1 
+t1 c2 (TLRef i)) \to (\forall (k2: K).(\forall (t2: T).(\forall (j: nat).(flt 
+c1 t1 (CHead c2 k2 t2) (TLRef j)))))))))
+\def
+ \lambda (c1: C).(\lambda (c2: C).(\lambda (t1: T).(\lambda (_: nat).(\lambda 
+(H: (lt (plus (cweight c1) (tweight t1)) (plus (cweight c2) (S O)))).(\lambda 
+(_: K).(\lambda (t2: T).(\lambda (_: nat).(lt_le_trans (plus (cweight c1) 
+(tweight t1)) (plus (cweight c2) (S O)) (plus (plus (cweight c2) (tweight 
+t2)) (S O)) H (le_plus_plus (cweight c2) (plus (cweight c2) (tweight t2)) (S 
+O) (S O) (le_plus_l (cweight c2) (tweight t2)) (le_n (S O))))))))))).
+
+theorem flt_wf__q_ind:
+ \forall (P: ((C \to (T \to Prop)))).(((\forall (n: nat).((\lambda (P0: ((C 
+\to (T \to Prop)))).(\lambda (n0: nat).(\forall (c: C).(\forall (t: T).((eq 
+nat (fweight c t) n0) \to (P0 c t)))))) P n))) \to (\forall (c: C).(\forall 
+(t: T).(P c t))))
+\def
+ let Q \def (\lambda (P: ((C \to (T \to Prop)))).(\lambda (n: nat).(\forall 
+(c: C).(\forall (t: T).((eq nat (fweight c t) n) \to (P c t)))))) in (\lambda 
+(P: ((C \to (T \to Prop)))).(\lambda (H: ((\forall (n: nat).(\forall (c: 
+C).(\forall (t: T).((eq nat (fweight c t) n) \to (P c t))))))).(\lambda (c: 
+C).(\lambda (t: T).(H (fweight c t) c t (refl_equal nat (fweight c t))))))).
+
+theorem flt_wf_ind:
+ \forall (P: ((C \to (T \to Prop)))).(((\forall (c2: C).(\forall (t2: 
+T).(((\forall (c1: C).(\forall (t1: T).((flt c1 t1 c2 t2) \to (P c1 t1))))) 
+\to (P c2 t2))))) \to (\forall (c: C).(\forall (t: T).(P c t))))
+\def
+ let Q \def (\lambda (P: ((C \to (T \to Prop)))).(\lambda (n: nat).(\forall 
+(c: C).(\forall (t: T).((eq nat (fweight c t) n) \to (P c t)))))) in (\lambda 
+(P: ((C \to (T \to Prop)))).(\lambda (H: ((\forall (c2: C).(\forall (t2: 
+T).(((\forall (c1: C).(\forall (t1: T).((flt c1 t1 c2 t2) \to (P c1 t1))))) 
+\to (P c2 t2)))))).(\lambda (c: C).(\lambda (t: T).(flt_wf__q_ind P (\lambda 
+(n: nat).(lt_wf_ind n (Q P) (\lambda (n0: nat).(\lambda (H0: ((\forall (m: 
+nat).((lt m n0) \to (Q P m))))).(\lambda (c0: C).(\lambda (t0: T).(\lambda 
+(H1: (eq nat (fweight c0 t0) n0)).(let H2 \def (eq_ind_r nat n0 (\lambda (n1: 
+nat).(\forall (m: nat).((lt m n1) \to (\forall (c1: C).(\forall (t1: T).((eq 
+nat (fweight c1 t1) m) \to (P c1 t1))))))) H0 (fweight c0 t0) H1) in (H c0 t0 
+(\lambda (c1: C).(\lambda (t1: T).(\lambda (H3: (flt c1 t1 c0 t0)).(H2 
+(fweight c1 t1) H3 c1 t1 (refl_equal nat (fweight c1 t1))))))))))))))) c 
+t))))).
+