X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_1%2Fgetl%2Fprops.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_1%2Fgetl%2Fprops.ma;h=0000000000000000000000000000000000000000;hb=d2545ffd201b1aa49887313791386add78fa8603;hp=56592c5e6ca6bca5d63a7628b111605b0e0aa314;hpb=57ae1762497a5f3ea75740e2908e04adb8642cc2;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_1/getl/props.ma b/matita/matita/contribs/lambdadelta/basic_1/getl/props.ma deleted file mode 100644 index 56592c5e6..000000000 --- a/matita/matita/contribs/lambdadelta/basic_1/getl/props.ma +++ /dev/null @@ -1,72 +0,0 @@ -(**************************************************************************) -(* ___ *) -(* ||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/getl/fwd.ma". - -include "basic_1/clear/props.ma". - -include "basic_1/drop/props.ma". - -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)))). - -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 - \lambda (k: K).(\lambda (h: nat).(\lambda (c: C).(\lambda (e: C).(\lambda -(H: (getl (r k h) c e)).(\lambda (u: T).(let H0 \def (getl_gen_all c e (r k -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))))))). - -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 - \lambda (c: C).(\lambda (e: C).(\lambda (h: nat).(\lambda (H: (getl h c -e)).(\lambda (f: F).(\lambda (u: T).(let H0 \def (getl_gen_all c e h H) in -(ex2_ind C (\lambda (e0: C).(drop h O c e0)) (\lambda (e0: C).(clear e0 e)) -(getl h (CHead c (Flat f) u) e) (\lambda (x: C).(\lambda (H1: (drop h O c -x)).(\lambda (H2: (clear x e)).(nat_ind (\lambda (n: nat).((drop n O c x) \to -(getl n (CHead c (Flat f) u) e))) (\lambda (H3: (drop O O c x)).(let H4 \def -(eq_ind_r C x (\lambda (c0: C).(clear c0 e)) H2 c (drop_gen_refl c x H3)) in -(getl_intro O (CHead c (Flat f) u) e (CHead c (Flat f) u) (drop_refl (CHead c -(Flat f) u)) (clear_flat c e H4 f u)))) (\lambda (h0: nat).(\lambda (_: -(((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))))))). - -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))))))))) -\def - \lambda (b: B).(\lambda (c: C).(\lambda (d: C).(\lambda (u: T).(\lambda (i: -nat).(\lambda (H: (getl i c (CHead d (Bind b) u))).(\lambda (k: K).(\lambda -(v: T).(let H0 \def (getl_gen_all c (CHead d (Bind b) u) i H) in (ex2_ind C -(\lambda (e: C).(drop i O c e)) (\lambda (e: C).(clear e (CHead d (Bind b) -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))))))))). -