1 (**************************************************************************)
4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
10 (* \ / This file is distributed under the terms of the *)
11 (* v GNU General Public License Version 2 *)
13 (**************************************************************************)
15 (* This file was automatically generated: do not edit *********************)
19 include "plist/defs.ma".
22 \forall (is1: PList).(\forall (is2: PList).(eq PList (papp (Ss is1) (Ss
23 is2)) (Ss (papp is1 is2))))
25 \lambda (is1: PList).(PList_ind (\lambda (p: PList).(\forall (is2:
26 PList).(eq PList (papp (Ss p) (Ss is2)) (Ss (papp p is2))))) (\lambda (is2:
27 PList).(refl_equal PList (Ss is2))) (\lambda (n: nat).(\lambda (n0:
28 nat).(\lambda (p: PList).(\lambda (H: ((\forall (is2: PList).(eq PList (papp
29 (Ss p) (Ss is2)) (Ss (papp p is2)))))).(\lambda (is2: PList).(eq_ind_r PList
30 (Ss (papp p is2)) (\lambda (p0: PList).(eq PList (PCons n (S n0) p0) (PCons n
31 (S n0) (Ss (papp p is2))))) (refl_equal PList (PCons n (S n0) (Ss (papp p
32 is2)))) (papp (Ss p) (Ss is2)) (H is2))))))) is1).