]> matita.cs.unibo.it Git - helm.git/blob - matita/matita/contribs/lambdadelta/basic_1/leq/defs.ma
update in basic_2
[helm.git] / matita / matita / contribs / lambdadelta / basic_1 / leq / defs.ma
1 (**************************************************************************)
2 (*       ___                                                              *)
3 (*      ||M||                                                             *)
4 (*      ||A||       A project by Andrea Asperti                           *)
5 (*      ||T||                                                             *)
6 (*      ||I||       Developers:                                           *)
7 (*      ||T||         The HELM team.                                      *)
8 (*      ||A||         http://helm.cs.unibo.it                             *)
9 (*      \   /                                                             *)
10 (*       \ /        This file is distributed under the terms of the       *)
11 (*        v         GNU General Public License Version 2                  *)
12 (*                                                                        *)
13 (**************************************************************************)
14
15 (* This file was automatically generated: do not edit *********************)
16
17 include "basic_1/aplus/defs.ma".
18
19 inductive leq (g: G): A \to (A \to Prop) \def
20 | leq_sort: \forall (h1: nat).(\forall (h2: nat).(\forall (n1: nat).(\forall 
21 (n2: nat).(\forall (k: nat).((eq A (aplus g (ASort h1 n1) k) (aplus g (ASort 
22 h2 n2) k)) \to (leq g (ASort h1 n1) (ASort h2 n2)))))))
23 | leq_head: \forall (a1: A).(\forall (a2: A).((leq g a1 a2) \to (\forall (a3: 
24 A).(\forall (a4: A).((leq g a3 a4) \to (leq g (AHead a1 a3) (AHead a2 
25 a4))))))).
26