X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_1%2Fgetl%2Fgetl.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_1%2Fgetl%2Fgetl.ma;h=0000000000000000000000000000000000000000;hb=d2545ffd201b1aa49887313791386add78fa8603;hp=64e3319056d3485767193b8ae5ddb090b8145832;hpb=57ae1762497a5f3ea75740e2908e04adb8642cc2;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_1/getl/getl.ma b/matita/matita/contribs/lambdadelta/basic_1/getl/getl.ma deleted file mode 100644 index 64e331905..000000000 --- a/matita/matita/contribs/lambdadelta/basic_1/getl/getl.ma +++ /dev/null @@ -1,51 +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/drop.ma". - -include "basic_1/getl/clear.ma". - -lemma getl_conf_le: - \forall (i: nat).(\forall (a: C).(\forall (c: C).((getl i c a) \to (\forall -(e: C).(\forall (h: nat).((getl h c e) \to ((le h i) \to (getl (minus i h) e -a)))))))) -\def - \lambda (i: nat).(\lambda (a: C).(\lambda (c: C).(\lambda (H: (getl i c -a)).(\lambda (e: C).(\lambda (h: nat).(\lambda (H0: (getl h c e)).(\lambda -(H1: (le h i)).(let H2 \def (getl_gen_all c e h H0) in (ex2_ind C (\lambda -(e0: C).(drop h O c e0)) (\lambda (e0: C).(clear e0 e)) (getl (minus i h) e -a) (\lambda (x: C).(\lambda (H3: (drop h O c x)).(\lambda (H4: (clear x -e)).(getl_clear_conf (minus i h) x a (getl_drop_conf_ge i a c H x h O H3 H1) -e H4)))) H2))))))))). - -theorem getl_trans: - \forall (i: nat).(\forall (c1: C).(\forall (c2: C).(\forall (h: nat).((getl -h c1 c2) \to (\forall (e2: C).((getl i c2 e2) \to (getl (plus i h) c1 -e2))))))) -\def - \lambda (i: nat).(\lambda (c1: C).(\lambda (c2: C).(\lambda (h: -nat).(\lambda (H: (getl h c1 c2)).(\lambda (e2: C).(\lambda (H0: (getl i c2 -e2)).(let H1 \def (getl_gen_all c2 e2 i H0) in (ex2_ind C (\lambda (e: -C).(drop i O c2 e)) (\lambda (e: C).(clear e e2)) (getl (plus i h) c1 e2) -(\lambda (x: C).(\lambda (H2: (drop i O c2 x)).(\lambda (H3: (clear x -e2)).(nat_ind (\lambda (n: nat).((drop n O c2 x) \to (getl (plus n h) c1 -e2))) (\lambda (H4: (drop O O c2 x)).(let H5 \def (eq_ind_r C x (\lambda (c: -C).(clear c e2)) H3 c2 (drop_gen_refl c2 x H4)) in (getl_clear_trans (plus O -h) c1 c2 H e2 H5))) (\lambda (i0: nat).(\lambda (_: (((drop i0 O c2 x) \to -(getl (plus i0 h) c1 e2)))).(\lambda (H4: (drop (S i0) O c2 x)).(let H_y \def -(getl_drop_trans c1 c2 h H x i0 H4) in (getl_intro (plus (S i0) h) c1 e2 x -H_y H3))))) i H2)))) H1)))))))). -