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

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   3 (*      ||M||                                                             *)
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   5 (*      ||T||                                                             *)
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  14
  15 (* This file was automatically generated: do not edit *********************)
  16
  17 set "baseuri" "cic:/matita/LAMBDA-TYPES/LambdaDelta-1/C/defs".
  18
  19 include "T/defs.ma".
  20
  21 inductive C: Set \def
  22 | CSort: nat \to C
  23 | CHead: C \to (K \to (T \to C)).
  24
  25 definition cweight:
  26  C \to nat
  27 \def
  28  let rec cweight (c: C) on c: nat \def (match c with [(CSort _) \Rightarrow O
  29 | (CHead c0 _ t) \Rightarrow (plus (cweight c0) (tweight t))]) in cweight.
  30
  31 definition clt:
  32  C \to (C \to Prop)
  33 \def
  34  \lambda (c1: C).(\lambda (c2: C).(lt (cweight c1) (cweight c2))).
  35
  36 definition cle:
  37  C \to (C \to Prop)
  38 \def
  39  \lambda (c1: C).(\lambda (c2: C).(le (cweight c1) (cweight c2))).
  40
  41 definition CTail:
  42  K \to (T \to (C \to C))
  43 \def
  44  let rec CTail (k: K) (t: T) (c: C) on c: C \def (match c with [(CSort n)
  45 \Rightarrow (CHead (CSort n) k t) | (CHead d h u) \Rightarrow (CHead (CTail k
  46 t d) h u)]) in CTail.
  47