matita/matita/contribs/lambdadelta/basic_1/pc3/defs.ma

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
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  14
  15 (* This file was automatically generated: do not edit *********************)
  16
  17 include "basic_1/pr3/defs.ma".
  18
  19 definition pc3:
  20  C \to (T \to (T \to Prop))
  21 \def
  22  \lambda (c: C).(\lambda (t1: T).(\lambda (t2: T).(ex2 T (\lambda (t: T).(pr3
  23 c t1 t)) (\lambda (t: T).(pr3 c t2 t))))).
  24
  25 inductive pc3_left (c: C): T \to (T \to Prop) \def
  26 | pc3_left_r: \forall (t: T).(pc3_left c t t)
  27 | pc3_left_ur: \forall (t1: T).(\forall (t2: T).((pr2 c t1 t2) \to (\forall
  28 (t3: T).((pc3_left c t2 t3) \to (pc3_left c t1 t3)))))
  29 | pc3_left_ux: \forall (t1: T).(\forall (t2: T).((pr2 c t1 t2) \to (\forall
  30 (t3: T).((pc3_left c t1 t3) \to (pc3_left c t2 t3))))).
  31