matita/matita/contribs/lambdadelta/basic_1A/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_1A/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