matita/contribs/LAMBDA-TYPES/LambdaDelta-1/pc3/defs.ma

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
   6 (*      ||I||       Developers:                                           *)
   7 (*      ||T||         The HELM team.                                      *)
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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/LambdaDelta-1/pc3/defs".
  18
  19 include "pr3/defs.ma".
  20
  21 definition pc3:
  22  C \to (T \to (T \to Prop))
  23 \def
  24  \lambda (c: C).(\lambda (t1: T).(\lambda (t2: T).(ex2 T (\lambda (t: T).(pr3
  25 c t1 t)) (\lambda (t: T).(pr3 c t2 t))))).
  26
  27 inductive pc3_left (c: C): T \to (T \to Prop) \def
  28 | pc3_left_r: \forall (t: T).(pc3_left c t t)
  29 | pc3_left_ur: \forall (t1: T).(\forall (t2: T).((pr2 c t1 t2) \to (\forall
  30 (t3: T).((pc3_left c t2 t3) \to (pc3_left c t1 t3)))))
  31 | pc3_left_ux: \forall (t1: T).(\forall (t2: T).((pr2 c t1 t2) \to (\forall
  32 (t3: T).((pc3_left c t1 t3) \to (pc3_left c t2 t3))))).
  33