src/ZF/Finite.thy
author paulson
Mon Dec 28 16:59:28 1998 +0100 (1998-12-28)
changeset 6053 8a1059aa01f0
parent 1478 2b8c2a7547ab
child 9491 1a36151ee2fc
permissions -rw-r--r--
new inductive, datatype and primrec packages, etc.
     1 (*  Title:      ZF/Finite.thy
     2     ID:         $Id$
     3     Author:     Lawrence C Paulson, Cambridge University Computer Laboratory
     4     Copyright   1994  University of Cambridge
     5 
     6 Finite powerset operator
     7 *)
     8 
     9 Finite = Arith + Inductive +
    10 consts
    11   Fin       :: i=>i
    12   FiniteFun :: [i,i]=>i         ("(_ -||>/ _)" [61, 60] 60)
    13 
    14 inductive
    15   domains   "Fin(A)" <= "Pow(A)"
    16   intrs
    17     emptyI  "0 : Fin(A)"
    18     consI   "[| a: A;  b: Fin(A) |] ==> cons(a,b) : Fin(A)"
    19   type_intrs empty_subsetI, cons_subsetI, PowI
    20   type_elims "[make_elim PowD]"
    21 
    22 inductive
    23   domains   "FiniteFun(A,B)" <= "Fin(A*B)"
    24   intrs
    25     emptyI  "0 : A -||> B"
    26     consI   "[| a: A;  b: B;  h: A -||> B;  a ~: domain(h)   
    27              |] ==> cons(<a,b>,h) : A -||> B"
    28   type_intrs "Fin.intrs"
    29 end