src/ZF/ord.thy
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     1 (*  Title: 	ZF/ordinal.thy
       
     2     ID:         $Id$
       
     3     Author: 	Lawrence C Paulson, Cambridge University Computer Laboratory
       
     4     Copyright   1992  University of Cambridge
       
     5 
       
     6 Ordinals in Zermelo-Fraenkel Set Theory 
       
     7 *)
       
     8 
       
     9 Ord = WF +
       
    10 consts
       
    11     Memrel      	::      "i=>i"
       
    12     Transset,Ord        ::      "i=>o"
       
    13 
       
    14 rules
       
    15   Memrel_def  	"Memrel(A)   == {z: A*A . EX x y. z=<x,y> & x:y }"
       
    16   Transset_def	"Transset(i) == ALL x:i. x<=i"
       
    17   Ord_def     	"Ord(i)      == Transset(i) & (ALL x:i. Transset(x))"
       
    18 
       
    19 end