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

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
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  14
  15 (* This file was automatically generated: do not edit *********************)
  16
  17 include "basic_1/C/defs.ma".
  18
  19 include "basic_1/lift/defs.ma".
  20
  21 include "basic_1/r/defs.ma".
  22
  23 inductive drop: nat \to (nat \to (C \to (C \to Prop))) \def
  24 | drop_refl: \forall (c: C).(drop O O c c)
  25 | drop_drop: \forall (k: K).(\forall (h: nat).(\forall (c: C).(\forall (e:
  26 C).((drop (r k h) O c e) \to (\forall (u: T).(drop (S h) O (CHead c k u)
  27 e))))))
  28 | drop_skip: \forall (k: K).(\forall (h: nat).(\forall (d: nat).(\forall (c:
  29 C).(\forall (e: C).((drop h (r k d) c e) \to (\forall (u: T).(drop h (S d)
  30 (CHead c k (lift h (r k d) u)) (CHead e k u)))))))).
  31