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

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   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).(let TMP_1 \def (\lambda
  23 (t: T).(pr3 c t1 t)) in (let TMP_2 \def (\lambda (t: T).(pr3 c t2 t)) in (ex2
  24 T TMP_1 TMP_2))))).
  25
  26 inductive pc3_left (c: C): T \to (T \to Prop) \def
  27 | pc3_left_r: \forall (t: T).(pc3_left c t t)
  28 | pc3_left_ur: \forall (t1: T).(\forall (t2: T).((pr2 c t1 t2) \to (\forall
  29 (t3: T).((pc3_left c t2 t3) \to (pc3_left c t1 t3)))))
  30 | pc3_left_ux: \forall (t1: T).(\forall (t2: T).((pr2 c t1 t2) \to (\forall
  31 (t3: T).((pc3_left c t1 t3) \to (pc3_left c t2 t3))))).
  32