matita/contribs/LAMBDA-TYPES/Level-1/LambdaDelta/ceqc/defs.ma

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
   6 (*      ||I||       Developers:                                           *)
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  10 (*       \ /        This file is distributed under the terms of the       *)
  11 (*        v         GNU General Public License Version 2                  *)
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  13 (**************************************************************************)
  14
  15 (* This file was automatically generated: do not edit *********************)
  16
  17 set "baseuri" "cic:/matita/LAMBDA-TYPES/Level-1/LambdaDelta/ceqc/defs".
  18
  19 include "sc3/defs.ma".
  20
  21 inductive csubc (g:G): C \to (C \to Prop) \def
  22 | csubc_sort: \forall (n: nat).(csubc g (CSort n) (CSort n))
  23 | csubc_head: \forall (c1: C).(\forall (c2: C).((csubc g c1 c2) \to (\forall
  24 (k: K).(\forall (v: T).(csubc g (CHead c1 k v) (CHead c2 k v))))))
  25 | csubc_abst: \forall (c1: C).(\forall (c2: C).((csubc g c1 c2) \to (\forall
  26 (v: T).(\forall (a: A).((sc3 g (asucc g a) c1 v) \to (\forall (w: T).((sc3 g
  27 a c2 w) \to (csubc g (CHead c1 (Bind Abst) v) (CHead c2 (Bind Abbr)
  28 w))))))))).
  29
  30 definition ceqc:
  31  G \to (C \to (C \to Prop))
  32 \def
  33  \lambda (g: G).(\lambda (c1: C).(\lambda (c2: C).(or (csubc g c1 c2) (csubc
  34 g c2 c1)))).
  35