X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matitaB%2Fmatita%2Fcontribs%2FLAMBDA-TYPES%2FBasic-1%2Farity%2Flift1.ma;fp=matitaB%2Fmatita%2Fcontribs%2FLAMBDA-TYPES%2FBasic-1%2Farity%2Flift1.ma;h=0000000000000000000000000000000000000000;hb=88a68a9c334646bc17314d5327cd3b790202acd6;hp=4077a8a1c117154e130fd249a94857cdc4e5e4c2;hpb=4904accd80118cb8126e308ae098d87f8651c9f4;p=helm.git diff --git a/matitaB/matita/contribs/LAMBDA-TYPES/Basic-1/arity/lift1.ma b/matitaB/matita/contribs/LAMBDA-TYPES/Basic-1/arity/lift1.ma deleted file mode 100644 index 4077a8a1c..000000000 --- a/matitaB/matita/contribs/LAMBDA-TYPES/Basic-1/arity/lift1.ma +++ /dev/null @@ -1,44 +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/arity/props.ma". - -include "Basic-1/drop1/fwd.ma". - -theorem arity_lift1: - \forall (g: G).(\forall (a: A).(\forall (c2: C).(\forall (hds: -PList).(\forall (c1: C).(\forall (t: T).((drop1 hds c1 c2) \to ((arity g c2 t -a) \to (arity g c1 (lift1 hds t) a)))))))) -\def - \lambda (g: G).(\lambda (a: A).(\lambda (c2: C).(\lambda (hds: -PList).(PList_ind (\lambda (p: PList).(\forall (c1: C).(\forall (t: -T).((drop1 p c1 c2) \to ((arity g c2 t a) \to (arity g c1 (lift1 p t) a)))))) -(\lambda (c1: C).(\lambda (t: T).(\lambda (H: (drop1 PNil c1 c2)).(\lambda -(H0: (arity g c2 t a)).(let H_y \def (drop1_gen_pnil c1 c2 H) in (eq_ind_r C -c2 (\lambda (c: C).(arity g c t a)) H0 c1 H_y)))))) (\lambda (n: -nat).(\lambda (n0: nat).(\lambda (p: PList).(\lambda (H: ((\forall (c1: -C).(\forall (t: T).((drop1 p c1 c2) \to ((arity g c2 t a) \to (arity g c1 -(lift1 p t) a))))))).(\lambda (c1: C).(\lambda (t: T).(\lambda (H0: (drop1 -(PCons n n0 p) c1 c2)).(\lambda (H1: (arity g c2 t a)).(let H_x \def -(drop1_gen_pcons c1 c2 p n n0 H0) in (let H2 \def H_x in (ex2_ind C (\lambda -(c3: C).(drop n n0 c1 c3)) (\lambda (c3: C).(drop1 p c3 c2)) (arity g c1 -(lift n n0 (lift1 p t)) a) (\lambda (x: C).(\lambda (H3: (drop n n0 c1 -x)).(\lambda (H4: (drop1 p x c2)).(arity_lift g x (lift1 p t) a (H x t H4 H1) -c1 n n0 H3)))) H2))))))))))) hds)))). -(* COMMENTS -Initial nodes: 289 -END *) -