X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matitaB%2Fmatita%2Fcontribs%2FLAMBDA-TYPES%2FBasic-1%2Fgetl%2Fflt.ma;fp=matitaB%2Fmatita%2Fcontribs%2FLAMBDA-TYPES%2FBasic-1%2Fgetl%2Fflt.ma;h=0000000000000000000000000000000000000000;hb=88a68a9c334646bc17314d5327cd3b790202acd6;hp=3d6c90f730e35ac009d34063aa40650c93ffb7dd;hpb=4904accd80118cb8126e308ae098d87f8651c9f4;p=helm.git diff --git a/matitaB/matita/contribs/LAMBDA-TYPES/Basic-1/getl/flt.ma b/matitaB/matita/contribs/LAMBDA-TYPES/Basic-1/getl/flt.ma deleted file mode 100644 index 3d6c90f73..000000000 --- a/matitaB/matita/contribs/LAMBDA-TYPES/Basic-1/getl/flt.ma +++ /dev/null @@ -1,67 +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/flt/props.ma". - -theorem getl_flt: - \forall (b: B).(\forall (c: C).(\forall (e: C).(\forall (u: T).(\forall (i: -nat).((getl i c (CHead e (Bind b) u)) \to (flt e u c (TLRef i))))))) -\def - \lambda (b: B).(\lambda (c: C).(C_ind (\lambda (c0: C).(\forall (e: -C).(\forall (u: T).(\forall (i: nat).((getl i c0 (CHead e (Bind b) u)) \to -(flt e u c0 (TLRef i))))))) (\lambda (n: nat).(\lambda (e: C).(\lambda (u: -T).(\lambda (i: nat).(\lambda (H: (getl i (CSort n) (CHead e (Bind b) -u))).(getl_gen_sort n i (CHead e (Bind b) u) H (flt e u (CSort n) (TLRef -i)))))))) (\lambda (c0: C).(\lambda (H: ((\forall (e: C).(\forall (u: -T).(\forall (i: nat).((getl i c0 (CHead e (Bind b) u)) \to (flt e u c0 (TLRef -i)))))))).(\lambda (k: K).(\lambda (t: T).(\lambda (e: C).(\lambda (u: -T).(\lambda (i: nat).(nat_ind (\lambda (n: nat).((getl n (CHead c0 k t) -(CHead e (Bind b) u)) \to (flt e u (CHead c0 k t) (TLRef n)))) (\lambda (H0: -(getl O (CHead c0 k t) (CHead e (Bind b) u))).(K_ind (\lambda (k0: K).((clear -(CHead c0 k0 t) (CHead e (Bind b) u)) \to (flt e u (CHead c0 k0 t) (TLRef -O)))) (\lambda (b0: B).(\lambda (H1: (clear (CHead c0 (Bind b0) t) (CHead e -(Bind b) u))).(let H2 \def (f_equal C C (\lambda (e0: C).(match e0 in C -return (\lambda (_: C).C) with [(CSort _) \Rightarrow e | (CHead c1 _ _) -\Rightarrow c1])) (CHead e (Bind b) u) (CHead c0 (Bind b0) t) (clear_gen_bind -b0 c0 (CHead e (Bind b) u) t H1)) in ((let H3 \def (f_equal C B (\lambda (e0: -C).(match e0 in C return (\lambda (_: C).B) with [(CSort _) \Rightarrow b | -(CHead _ k0 _) \Rightarrow (match k0 in K return (\lambda (_: K).B) with -[(Bind b1) \Rightarrow b1 | (Flat _) \Rightarrow b])])) (CHead e (Bind b) u) -(CHead c0 (Bind b0) t) (clear_gen_bind b0 c0 (CHead e (Bind b) u) t H1)) in -((let H4 \def (f_equal C T (\lambda (e0: C).(match e0 in C return (\lambda -(_: C).T) with [(CSort _) \Rightarrow u | (CHead _ _ t0) \Rightarrow t0])) -(CHead e (Bind b) u) (CHead c0 (Bind b0) t) (clear_gen_bind b0 c0 (CHead e -(Bind b) u) t H1)) in (\lambda (H5: (eq B b b0)).(\lambda (H6: (eq C e -c0)).(eq_ind_r T t (\lambda (t0: T).(flt e t0 (CHead c0 (Bind b0) t) (TLRef -O))) (eq_ind_r C c0 (\lambda (c1: C).(flt c1 t (CHead c0 (Bind b0) t) (TLRef -O))) (eq_ind B b (\lambda (b1: B).(flt c0 t (CHead c0 (Bind b1) t) (TLRef -O))) (flt_arith0 (Bind b) c0 t O) b0 H5) e H6) u H4)))) H3)) H2)))) (\lambda -(f: F).(\lambda (H1: (clear (CHead c0 (Flat f) t) (CHead e (Bind b) -u))).(flt_arith1 (Bind b) e c0 u (clear_cle c0 (CHead e (Bind b) u) -(clear_gen_flat f c0 (CHead e (Bind b) u) t H1)) (Flat f) t O))) k -(getl_gen_O (CHead c0 k t) (CHead e (Bind b) u) H0))) (\lambda (n: -nat).(\lambda (_: (((getl n (CHead c0 k t) (CHead e (Bind b) u)) \to (flt e u -(CHead c0 k t) (TLRef n))))).(\lambda (H1: (getl (S n) (CHead c0 k t) (CHead -e (Bind b) u))).(let H_y \def (H e u (r k n) (getl_gen_S k c0 (CHead e (Bind -b) u) t n H1)) in (flt_arith2 e c0 u (r k n) H_y k t (S n)))))) i)))))))) c)). -(* COMMENTS -Initial nodes: 815 -END *) -