X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fcontribs%2FLAMBDA-TYPES%2FBase-1%2Fplist%2Fprops.ma;fp=matita%2Fcontribs%2FLAMBDA-TYPES%2FBase-1%2Fplist%2Fprops.ma;h=cfe98b20d8803d5e0456c917880c9674935d42c7;hp=0000000000000000000000000000000000000000;hb=f61af501fb4608cc4fb062a0864c774e677f0d76;hpb=58ae1809c352e71e7b5530dc41e2bfc834e1aef1 diff --git a/matita/contribs/LAMBDA-TYPES/Base-1/plist/props.ma b/matita/contribs/LAMBDA-TYPES/Base-1/plist/props.ma new file mode 100644 index 000000000..cfe98b20d --- /dev/null +++ b/matita/contribs/LAMBDA-TYPES/Base-1/plist/props.ma @@ -0,0 +1,31 @@ +(**************************************************************************) +(* ___ *) +(* ||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 "Base-1/plist/defs.ma". + +theorem papp_ss: + \forall (is1: PList).(\forall (is2: PList).(eq PList (papp (Ss is1) (Ss +is2)) (Ss (papp is1 is2)))) +\def + \lambda (is1: PList).(PList_ind (\lambda (p: PList).(\forall (is2: +PList).(eq PList (papp (Ss p) (Ss is2)) (Ss (papp p is2))))) (\lambda (is2: +PList).(refl_equal PList (Ss is2))) (\lambda (n: nat).(\lambda (n0: +nat).(\lambda (p: PList).(\lambda (H: ((\forall (is2: PList).(eq PList (papp +(Ss p) (Ss is2)) (Ss (papp p is2)))))).(\lambda (is2: PList).(eq_ind_r PList +(Ss (papp p is2)) (\lambda (p0: PList).(eq PList (PCons n (S n0) p0) (PCons n +(S n0) (Ss (papp p is2))))) (refl_equal PList (PCons n (S n0) (Ss (papp p +is2)))) (papp (Ss p) (Ss is2)) (H is2))))))) is1). +