Procedural : tentative update to the new letin cic construction

[helm.git] / helm / software / matita / contribs / LAMBDA-TYPES / LambdaDelta-1 / arity / fwd.ma

diff --git a/helm/software/matita/contribs/LAMBDA-TYPES/LambdaDelta-1/arity/fwd.ma b/helm/software/matita/contribs/LAMBDA-TYPES/LambdaDelta-1/arity/fwd.ma
index cba7ad939ee03ecd61f210c0b5406249ff870bbb..292c4b65bab7d8dc0913805aa2c8a53a493ce02c 100644 (file)
--- a/helm/software/matita/contribs/LAMBDA-TYPES/LambdaDelta-1/arity/fwd.ma
+++ b/helm/software/matita/contribs/LAMBDA-TYPES/LambdaDelta-1/arity/fwd.ma
@@ -18,8 +18,6 @@ include "LambdaDelta-1/arity/defs.ma".
 
 include "LambdaDelta-1/leq/asucc.ma".
 
-include "LambdaDelta-1/leq/fwd.ma".
-
 include "LambdaDelta-1/getl/drop.ma".
 
 theorem arity_gen_sort:
@@ -908,7 +906,7 @@ H4) in (let H6 \def (eq_ind T t0 (\lambda (t1: T).((eq T t1 (THead (Flat
 Cast) u t)) \to (land (arity g c0 u (asucc g a1)) (arity g c0 t a1)))) H2 
 (THead (Flat Cast) u t) H5) in (let H7 \def (eq_ind T t0 (\lambda (t1: 
 T).(arity g c0 t1 a1)) H1 (THead (Flat Cast) u t) H5) in (let H8 \def (H6 
-(refl_equal T (THead (Flat Cast) u t))) in (and_ind (arity g c0 u (asucc g 
+(refl_equal T (THead (Flat Cast) u t))) in (land_ind (arity g c0 u (asucc g 
 a1)) (arity g c0 t a1) (land (arity g c0 u (asucc g a2)) (arity g c0 t a2)) 
 (\lambda (H9: (arity g c0 u (asucc g a1))).(\lambda (H10: (arity g c0 t 
 a1)).(conj (arity g c0 u (asucc g a2)) (arity g c0 t a2) (arity_repl g c0 u 
@@ -965,7 +963,7 @@ a0)))))))).(\lambda (x: nat).(\lambda (x0: T).(\lambda (H4: (eq T (TLRef i)
 (lift_gen_lref x0 x h i H4) in (let H6 \def H_x in (or_ind (land (lt i x) (eq 
 T x0 (TLRef i))) (land (le (plus x h) i) (eq T x0 (TLRef (minus i h)))) 
 (arity g c2 x0 a0) (\lambda (H7: (land (lt i x) (eq T x0 (TLRef 
-i)))).(and_ind (lt i x) (eq T x0 (TLRef i)) (arity g c2 x0 a0) (\lambda (H8: 
+i)))).(land_ind (lt i x) (eq T x0 (TLRef i)) (arity g c2 x0 a0) (\lambda (H8: 
 (lt i x)).(\lambda (H9: (eq T x0 (TLRef i))).(eq_ind_r T (TLRef i) (\lambda 
 (t0: T).(arity g c2 t0 a0)) (let H10 \def (eq_ind nat x (\lambda (n: 
 nat).(drop h n c c2)) H5 (S (plus i (minus x (S i)))) (lt_plus_minus i x H8)) 
@@ -982,7 +980,7 @@ a0))))))) H3 (lift h (minus x (S i)) x1) H11) in (let H15 \def (eq_ind T u
 (arity_abbr g c2 x2 x1 i H12 a0 (H14 (minus x (S i)) x1 (refl_equal T (lift h 
 (minus x (S i)) x1)) x2 H13))))))))) (getl_drop_conf_lt Abbr c d0 u i H1 c2 h 
 (minus x (S i)) H10))) x0 H9))) H7)) (\lambda (H7: (land (le (plus x h) i) 
-(eq T x0 (TLRef (minus i h))))).(and_ind (le (plus x h) i) (eq T x0 (TLRef 
+(eq T x0 (TLRef (minus i h))))).(land_ind (le (plus x h) i) (eq T x0 (TLRef 
 (minus i h))) (arity g c2 x0 a0) (\lambda (H8: (le (plus x h) i)).(\lambda 
 (H9: (eq T x0 (TLRef (minus i h)))).(eq_ind_r T (TLRef (minus i h)) (\lambda 
 (t0: T).(arity g c2 t0 a0)) (arity_abbr g c2 d0 u (minus i h) 
@@ -997,7 +995,7 @@ x0))).(\lambda (c2: C).(\lambda (H5: (drop h x c c2)).(let H_x \def
 (lift_gen_lref x0 x h i H4) in (let H6 \def H_x in (or_ind (land (lt i x) (eq 
 T x0 (TLRef i))) (land (le (plus x h) i) (eq T x0 (TLRef (minus i h)))) 
 (arity g c2 x0 a0) (\lambda (H7: (land (lt i x) (eq T x0 (TLRef 
-i)))).(and_ind (lt i x) (eq T x0 (TLRef i)) (arity g c2 x0 a0) (\lambda (H8: 
+i)))).(land_ind (lt i x) (eq T x0 (TLRef i)) (arity g c2 x0 a0) (\lambda (H8: 
 (lt i x)).(\lambda (H9: (eq T x0 (TLRef i))).(eq_ind_r T (TLRef i) (\lambda 
 (t0: T).(arity g c2 t0 a0)) (let H10 \def (eq_ind nat x (\lambda (n: 
 nat).(drop h n c c2)) H5 (S (plus i (minus x (S i)))) (lt_plus_minus i x H8)) 
@@ -1014,7 +1012,7 @@ t0 (lift h x3 x4)) \to (\forall (c3: C).((drop h x3 d0 c3) \to (arity g c3 x4
 x (S i)) x1) H11) in (arity_abst g c2 x2 x1 i H12 a0 (H14 (minus x (S i)) x1 
 (refl_equal T (lift h (minus x (S i)) x1)) x2 H13))))))))) (getl_drop_conf_lt 
 Abst c d0 u i H1 c2 h (minus x (S i)) H10))) x0 H9))) H7)) (\lambda (H7: 
-(land (le (plus x h) i) (eq T x0 (TLRef (minus i h))))).(and_ind (le (plus x 
+(land (le (plus x h) i) (eq T x0 (TLRef (minus i h))))).(land_ind (le (plus x 
 h) i) (eq T x0 (TLRef (minus i h))) (arity g c2 x0 a0) (\lambda (H8: (le 
 (plus x h) i)).(\lambda (H9: (eq T x0 (TLRef (minus i h)))).(eq_ind_r T 
 (TLRef (minus i h)) (\lambda (t0: T).(arity g c2 t0 a0)) (arity_abst g c2 d0