X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2FLAMBDA-TYPES%2FLambdaDelta-1%2Fnf2%2Ffwd.ma;h=e212a16dbf8cddf60882ca9512ab8d9f02d88db2;hb=7048db496643fc440aebc6e85dd425886bcd2e56;hp=531f5979b93cafbb37d0058364bb82fe01be767f;hpb=5c1b44dfefa085fbb56e23047652d3650be9d855;p=helm.git

diff --git a/helm/software/matita/contribs/LAMBDA-TYPES/LambdaDelta-1/nf2/fwd.ma b/helm/software/matita/contribs/LAMBDA-TYPES/LambdaDelta-1/nf2/fwd.ma
index 531f5979b..e212a16db 100644
--- a/helm/software/matita/contribs/LAMBDA-TYPES/LambdaDelta-1/nf2/fwd.ma
+++ b/helm/software/matita/contribs/LAMBDA-TYPES/LambdaDelta-1/nf2/fwd.ma
@@ -14,15 +14,13 @@
 
 (* This file was automatically generated: do not edit *********************)
 
+include "LambdaDelta-1/nf2/defs.ma".
 
+include "LambdaDelta-1/pr2/clen.ma".
 
-include "nf2/defs.ma".
+include "LambdaDelta-1/subst0/dec.ma".
 
-include "pr2/clen.ma".
-
-include "subst0/dec.ma".
-
-include "T/props.ma".
+include "LambdaDelta-1/T/props.ma".
 
 theorem nf2_gen_lref:
  \forall (c: C).(\forall (d: C).(\forall (u: T).(\forall (i: nat).((getl i c 
@@ -64,8 +62,7 @@ t)) \to (\forall (P: Prop).P))))
 \def
  \lambda (c: C).(\lambda (u: T).(\lambda (t: T).(\lambda (H: (nf2 c (THead 
 (Flat Cast) u t))).(\lambda (P: Prop).(thead_x_y_y (Flat Cast) u t (H t 
-(pr2_free c (THead (Flat Cast) u t) t (pr0_epsilon t t (pr0_refl t) u))) 
-P))))).
+(pr2_free c (THead (Flat Cast) u t) t (pr0_tau t t (pr0_refl t) u))) P))))).
 
 theorem nf2_gen_beta:
  \forall (c: C).(\forall (u: T).(\forall (v: T).(\forall (t: T).((nf2 c 
@@ -101,7 +98,7 @@ u t2)).(let H1 \def (f_equal T T (\lambda (e: T).(match e in T return
 (THead (Flat f) u t) (THead (Flat f) u t2) (H (THead (Flat f) u t2) 
 (pr2_head_2 c u t t2 (Flat f) (pr2_cflat c t t2 H0 f u)))) in H1)))))))).
 
-theorem nf2_gen__aux:
+theorem nf2_gen__nf2_gen_aux:
  \forall (b: B).(\forall (x: T).(\forall (u: T).(\forall (d: nat).((eq T 
 (THead (Bind b) u (lift (S O) d x)) x) \to (\forall (P: Prop).P)))))
 \def
@@ -182,9 +179,9 @@ t t (pr0_refl t) (lift (S O) O x) H2)))) in (let H4 \def (eq_ind T t (\lambda
 (subst0_refl u (lift (S O) O x) O H4 P)))) (\lambda (H2: (eq T t (lift (S O) 
 O x))).(let H3 \def (eq_ind T t (\lambda (t0: T).(\forall (t2: T).((pr2 c 
 (THead (Bind Abbr) u t0) t2) \to (eq T (THead (Bind Abbr) u t0) t2)))) H 
-(lift (S O) O x) H2) in (nf2_gen__aux Abbr x u O (H3 x (pr2_free c (THead 
-(Bind Abbr) u (lift (S O) O x)) x (pr0_zeta Abbr not_abbr_abst x x (pr0_refl 
-x) u))) P))) H1))) H0))))))).
+(lift (S O) O x) H2) in (nf2_gen__nf2_gen_aux Abbr x u O (H3 x (pr2_free c 
+(THead (Bind Abbr) u (lift (S O) O x)) x (pr0_zeta Abbr not_abbr_abst x x 
+(pr0_refl x) u))) P))) H1))) H0))))))).
 
 theorem nf2_gen_void:
  \forall (c: C).(\forall (u: T).(\forall (t: T).((nf2 c (THead (Bind Void) u 
@@ -192,7 +189,8 @@ theorem nf2_gen_void:
 \def
  \lambda (c: C).(\lambda (u: T).(\lambda (t: T).(\lambda (H: ((\forall (t2: 
 T).((pr2 c (THead (Bind Void) u (lift (S O) O t)) t2) \to (eq T (THead (Bind 
-Void) u (lift (S O) O t)) t2))))).(\lambda (P: Prop).(nf2_gen__aux Void t u O 
-(H t (pr2_free c (THead (Bind Void) u (lift (S O) O t)) t (pr0_zeta Void 
-not_void_abst t t (pr0_refl t) u))) P))))).
+Void) u (lift (S O) O t)) t2))))).(\lambda (P: Prop).(nf2_gen__nf2_gen_aux 
+Void t u O (H t (pr2_free c (THead (Bind Void) u (lift (S O) O t)) t 
+(pr0_zeta Void (sym_not_eq B Abst Void not_abst_void) t t (pr0_refl t) u))) 
+P))))).