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 include "nat/plus.ma".
17 ndefinition thesis0: ∀A:Type.Type ≝ λA. A → A.
19 alias id "thesis0" = "cic:/matita/tests/ng_commands/thesis0.con".
21 ndefinition thesis: ∀A:Type.Type ≝ λA. ?.
25 alias id "thesis" = "cic:/matita/tests/ng_commands/thesis.con".
27 ntheorem foo: ∀A:Type.thesis A.#A;#x;napply x;
30 alias id "foo" = "cic:/matita/tests/ng_commands/foo.con".
32 ntheorem goo: ∀A:Type.A → A. #A; napply (foo ?);
37 alias id "P" = "cic:/matita/tests/ng_commands/P.con".
39 ndefinition Q: Prop ≝ P.
41 nlet rec nzero (n:nat) : nat ≝
46 alias id "nzero" = "cic:/matita/tests/ng_commands/nzero.con".
48 ntheorem nzero_ok: nzero (S (S O)) = O.
53 ninductive nnat: Type ≝