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 *********************)
17 include "pr3/defs.ma".
20 C \to (T \to (T \to Prop))
22 \lambda (c: C).(\lambda (t1: T).(\lambda (t2: T).(ex2 T (\lambda (t: T).(pr3
23 c t1 t)) (\lambda (t: T).(pr3 c t2 t))))).
25 inductive pc3_left (c: C): T \to (T \to Prop) \def
26 | pc3_left_r: \forall (t: T).(pc3_left c t t)
27 | pc3_left_ur: \forall (t1: T).(\forall (t2: T).((pr2 c t1 t2) \to (\forall
28 (t3: T).((pc3_left c t2 t3) \to (pc3_left c t1 t3)))))
29 | pc3_left_ux: \forall (t1: T).(\forall (t2: T).((pr2 c t1 t2) \to (\forall
30 (t3: T).((pc3_left c t1 t3) \to (pc3_left c t2 t3))))).