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 "preamble.ma".
22 \forall (S: Set).(\forall (x: S).(\forall (P: ((S \to Prop))).(\forall (G:
23 Prop).(((\forall (y: S).((P y) \to ((eq S y x) \to G)))) \to ((P x) \to G)))))
25 \lambda (S: Set).(\lambda (x: S).(\lambda (P: ((S \to Prop))).(\lambda (G:
26 Prop).(\lambda (H: ((\forall (y: S).((P y) \to ((eq S y x) \to
27 G))))).(\lambda (H0: (P x)).(H x H0 (refl_equal S x))))))).
30 \forall (A: Set).(\forall (a: A).(\forall (P: ((A \to Prop))).(((\forall (x:
31 A).(P x))) \to (P a))))
33 \lambda (A: Set).(\lambda (a: A).(\lambda (P: ((A \to Prop))).(\lambda (H:
34 ((\forall (x: A).(P x)))).(H a)))).
37 \forall (A: Set).(\forall (t: A).(\forall (P: ((A \to Prop))).(((\forall (x:
38 A).((eq A t x) \to (P x)))) \to (P t))))
40 \lambda (A: Set).(\lambda (t: A).(\lambda (P: ((A \to Prop))).(\lambda (H:
41 ((\forall (x: A).((eq A t x) \to (P x))))).(H t (refl_equal A t))))).