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Theorem axrep4 4032
 Description: A more traditional version of the Axiom of Replacement. (Contributed by NM, 14-Aug-1994.)
Hypothesis
Ref Expression
axrep4.1
Assertion
Ref Expression
axrep4
Distinct variable group:   ,,,
Allowed substitution hints:   (,,,)

Proof of Theorem axrep4
StepHypRef Expression
1 axrep3 4031 . . 3
2119.35i 1600 . 2
3 nfv 1629 . . . . 5
4 nfv 1629 . . . . . . 7
5 nfa1 1719 . . . . . . 7
64, 5nfan 1737 . . . . . 6
76nfex 1733 . . . . 5
83, 7nfbi 1738 . . . 4
98nfal 1732 . . 3
10 nfv 1629 . . . . 5
11 nfe1 1566 . . . . 5
1210, 11nfbi 1738 . . . 4
1312nfal 1732 . . 3
14 elequ2 1832 . . . . 5
15 axrep4.1 . . . . . . . . 9
161519.3 1760 . . . . . . . 8
1716anbi2i 678 . . . . . . 7
1817exbii 1580 . . . . . 6
1918a1i 12 . . . . 5
2014, 19bibi12d 314 . . . 4
2120albidv 2004 . . 3
229, 13, 21cbvex 1877 . 2
232, 22sylib 190 1
 Colors of variables: wff set class Syntax hints:   wi 6   wb 178   wa 360  wal 1532  wex 1537  wnf 1539   wceq 1619   wcel 1621 This theorem is referenced by:  axrep5  4033  funimaexg  5186 This theorem was proved from axioms:  ax-1 7  ax-2 8  ax-3 9  ax-mp 10  ax-5 1533  ax-6 1534  ax-7 1535  ax-gen 1536  ax-8 1623  ax-14 1626  ax-17 1628  ax-9 1684  ax-4 1692  ax-ext 2234  ax-rep 4028 This theorem depends on definitions:  df-bi 179  df-an 362  df-tru 1315  df-ex 1538  df-nf 1540  df-cleq 2246  df-clel 2249
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