helm/software/matita/tests/ng_commands.ma

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   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
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  11 (*        v         GNU General Public License Version 2                  *)
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  13 (**************************************************************************)
  14
  15 include "nat/plus.ma".
  16
  17 ndefinition thesis0: ∀A:Type.Type ≝ λA. A → A.
  18
  19 alias id "thesis0" = "cic:/matita/tests/ng_commands/thesis0.con".
  20
  21 ndefinition thesis: ∀A:Type.Type ≝ λA. ?.
  22  napply (A → A);
  23 nqed.
  24
  25 alias id "thesis" = "cic:/matita/tests/ng_commands/thesis.con".
  26
  27 ntheorem foo: ∀A:Type.thesis A.#A;#x;napply x;
  28 nqed.
  29
  30 alias id "foo" = "cic:/matita/tests/ng_commands/foo.con".
  31
  32 ntheorem goo: ∀A:Type.A → A. #A; napply (foo ?);
  33 nqed.
  34
  35 naxiom P: Prop.
  36
  37 alias id "P" = "cic:/matita/tests/ng_commands/P.con".
  38
  39 ndefinition Q: Prop ≝ P.
  40
  41 (*
  42 nlet rec nzero (n:nat) : nat ≝
  43  match n with
  44   [ O ⇒ O
  45   | S m ⇒ nzero m].
  46
  47 ninductive nnat: Type ≝
  48    nO: nnat
  49  | nS: nnat → nnat. *)