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

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