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