src/ZF/AC/Transrec2.thy
author clasohm
Tue Feb 06 12:27:17 1996 +0100 (1996-02-06)
changeset 1478 2b8c2a7547ab
parent 1401 0c439768f45c
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(*  Title:      ZF/AC/Transrec2.thy
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    ID:         $Id$
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    Author:     Krzysztof Grabczewski
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Transfinite recursion introduced to handle definitions based on the three
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cases of ordinals.
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*)
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Transrec2 = OrdQuant + Epsilon +
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consts
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  transrec2               :: [i, i, [i,i]=>i] =>i
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defs
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  transrec2_def  "transrec2(alpha, a, b) ==                     
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                         transrec(alpha, %i r. if(i=0,          
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                                  a, if(EX j. i=succ(j),        
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                                  b(THE j. i=succ(j), r`(THE j. i=succ(j))),   
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                                  UN j<i. r`j)))"
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end