update in basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_1 / getl / props.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_1/getl/props.ma b/matita/matita/contribs/lambdadelta/basic_1/getl/props.ma
index 9399ad4abfd36b13857e12ff20e7032a3710fe91..56592c5e6ca6bca5d63a7628b111605b0e0aa314 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_1/getl/props.ma
+++ b/matita/matita/contribs/lambdadelta/basic_1/getl/props.ma
@@ -14,24 +14,21 @@
 
 (* This file was automatically generated: do not edit *********************)
 
-include "Basic-1/getl/fwd.ma".
+include "basic_1/getl/fwd.ma".
 
-include "Basic-1/drop/props.ma".
+include "basic_1/clear/props.ma".
 
-include "Basic-1/clear/props.ma".
+include "basic_1/drop/props.ma".
 
-theorem getl_refl:
+lemma getl_refl:
  \forall (b: B).(\forall (c: C).(\forall (u: T).(getl O (CHead c (Bind b) u) 
 (CHead c (Bind b) u))))
 \def
  \lambda (b: B).(\lambda (c: C).(\lambda (u: T).(getl_intro O (CHead c (Bind 
 b) u) (CHead c (Bind b) u) (CHead c (Bind b) u) (drop_refl (CHead c (Bind b) 
 u)) (clear_bind b c u)))).
-(* COMMENTS
-Initial nodes: 59
-END *)
 
-theorem getl_head:
+lemma getl_head:
  \forall (k: K).(\forall (h: nat).(\forall (c: C).(\forall (e: C).((getl (r k 
 h) c e) \to (\forall (u: T).(getl (S h) (CHead c k u) e))))))
 \def
@@ -41,11 +38,8 @@ h) H) in (ex2_ind C (\lambda (e0: C).(drop (r k h) O c e0)) (\lambda (e0:
 C).(clear e0 e)) (getl (S h) (CHead c k u) e) (\lambda (x: C).(\lambda (H1: 
 (drop (r k h) O c x)).(\lambda (H2: (clear x e)).(getl_intro (S h) (CHead c k 
 u) e x (drop_drop k h c x H1 u) H2)))) H0))))))).
-(* COMMENTS
-Initial nodes: 137
-END *)
 
-theorem getl_flat:
+lemma getl_flat:
  \forall (c: C).(\forall (e: C).(\forall (h: nat).((getl h c e) \to (\forall 
 (f: F).(\forall (u: T).(getl h (CHead c (Flat f) u) e))))))
 \def
@@ -61,11 +55,8 @@ x)).(\lambda (H2: (clear x e)).(nat_ind (\lambda (n: nat).((drop n O c x) \to
 (((drop h0 O c x) \to (getl h0 (CHead c (Flat f) u) e)))).(\lambda (H3: (drop 
 (S h0) O c x)).(getl_intro (S h0) (CHead c (Flat f) u) e x (drop_drop (Flat 
 f) h0 c x H3 u) H2)))) h H1)))) H0))))))).
-(* COMMENTS
-Initial nodes: 285
-END *)
 
-theorem getl_ctail:
+lemma getl_ctail:
  \forall (b: B).(\forall (c: C).(\forall (d: C).(\forall (u: T).(\forall (i: 
 nat).((getl i c (CHead d (Bind b) u)) \to (\forall (k: K).(\forall (v: 
 T).(getl i (CTail k v c) (CHead (CTail k v d) (Bind b) u)))))))))
@@ -78,27 +69,4 @@ u))) (getl i (CTail k v c) (CHead (CTail k v d) (Bind b) u)) (\lambda (x:
 C).(\lambda (H1: (drop i O c x)).(\lambda (H2: (clear x (CHead d (Bind b) 
 u))).(getl_intro i (CTail k v c) (CHead (CTail k v d) (Bind b) u) (CTail k v 
 x) (drop_ctail c x O i H1 k v) (clear_ctail b x d u H2 k v))))) H0))))))))).
-(* COMMENTS
-Initial nodes: 203
-END *)
-
-theorem getl_mono:
- \forall (c: C).(\forall (x1: C).(\forall (h: nat).((getl h c x1) \to 
-(\forall (x2: C).((getl h c x2) \to (eq C x1 x2))))))
-\def
- \lambda (c: C).(\lambda (x1: C).(\lambda (h: nat).(\lambda (H: (getl h c 
-x1)).(\lambda (x2: C).(\lambda (H0: (getl h c x2)).(let H1 \def (getl_gen_all 
-c x2 h H0) in (ex2_ind C (\lambda (e: C).(drop h O c e)) (\lambda (e: 
-C).(clear e x2)) (eq C x1 x2) (\lambda (x: C).(\lambda (H2: (drop h O c 
-x)).(\lambda (H3: (clear x x2)).(let H4 \def (getl_gen_all c x1 h H) in 
-(ex2_ind C (\lambda (e: C).(drop h O c e)) (\lambda (e: C).(clear e x1)) (eq 
-C x1 x2) (\lambda (x0: C).(\lambda (H5: (drop h O c x0)).(\lambda (H6: (clear 
-x0 x1)).(let H7 \def (eq_ind C x (\lambda (c0: C).(drop h O c c0)) H2 x0 
-(drop_mono c x O h H2 x0 H5)) in (let H8 \def (eq_ind_r C x0 (\lambda (c0: 
-C).(drop h O c c0)) H7 x (drop_mono c x O h H2 x0 H5)) in (let H9 \def 
-(eq_ind_r C x0 (\lambda (c0: C).(clear c0 x1)) H6 x (drop_mono c x O h H2 x0 
-H5)) in (clear_mono x x1 H9 x2 H3))))))) H4))))) H1))))))).
-(* COMMENTS
-Initial nodes: 269
-END *)