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

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   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
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  11 (*        v         GNU General Public License Version 2                  *)
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  14
  15 (* This file was automatically generated: do not edit *********************)
  16
  17 include "basic_1/preamble.ma".
  18
  19 inductive B: Type[0] \def
  20 | Abbr: B
  21 | Abst: B
  22 | Void: B.
  23
  24 inductive F: Type[0] \def
  25 | Appl: F
  26 | Cast: F.
  27
  28 inductive K: Type[0] \def
  29 | Bind: B \to K
  30 | Flat: F \to K.
  31
  32 inductive T: Type[0] \def
  33 | TSort: nat \to T
  34 | TLRef: nat \to T
  35 | THead: K \to (T \to (T \to T)).
  36
  37 rec definition tweight (t: T) on t: nat \def match t with [(TSort _)
  38 \Rightarrow (S O) | (TLRef _) \Rightarrow (S O) | (THead _ u t0) \Rightarrow
  39 (S (plus (tweight u) (tweight t0)))].
  40
  41 definition tle:
  42  T \to (T \to Prop)
  43 \def
  44  \lambda (t1: T).(\lambda (t2: T).(le (tweight t1) (tweight t2))).
  45