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 (**************************************************************************)
22 include "preamble0.ma".
24 inductive Proof: Type \def
25 | lref: Nat \to Proof (* projection *)
26 | prin: Nat \to Proof (* pos rel inhabitant *)
27 | impw: Proof \to Proof (* weakening *)
28 | impr: Proof \to Proof (* right introduction *)
29 | impi: Proof \to Proof \to Proof \to Proof (* left introduction *)
30 | scut: Proof \to Proof \to Proof (* symmetric cut *)