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

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
   6 (*      ||I||       Developers:                                           *)
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  10 (*       \ /        This file is distributed under the terms of the       *)
  11 (*        v         GNU General Public License Version 2                  *)
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  13 (**************************************************************************)
  14
  15 (* This file was automatically generated: do not edit *********************)
  16
  17 include "basic_1/lift/defs.ma".
  18
  19 let rec subst (d: nat) (v: T) (t: T) on t: T \def match t with [(TSort n)
  20 \Rightarrow (TSort n) | (TLRef i) \Rightarrow (let TMP_4 \def (blt i d) in
  21 (match TMP_4 with [true \Rightarrow (TLRef i) | false \Rightarrow (let TMP_5
  22 \def (blt d i) in (match TMP_5 with [true \Rightarrow (let TMP_6 \def (pred
  23 i) in (TLRef TMP_6)) | false \Rightarrow (lift d O v)]))])) | (THead k u t0)
  24 \Rightarrow (let TMP_1 \def (subst d v u) in (let TMP_2 \def (s k d) in (let
  25 TMP_3 \def (subst TMP_2 v t0) in (THead k TMP_1 TMP_3))))].
  26