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Theorem axrep4 4324
 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 4323 . . 3
2119.35i 1611 . 2
3 nfv 1629 . . . . 5
4 nfv 1629 . . . . . . 7
5 nfa1 1806 . . . . . . 7
64, 5nfan 1846 . . . . . 6
76nfex 1865 . . . . 5
83, 7nfbi 1856 . . . 4
98nfal 1864 . . 3
10 nfv 1629 . . . . 5
11 nfe1 1747 . . . . 5
1210, 11nfbi 1856 . . . 4
1312nfal 1864 . . 3
14 elequ2 1730 . . . . 5
15 axrep4.1 . . . . . . . . 9
161519.3 1791 . . . . . . . 8
1716anbi2i 676 . . . . . . 7
1817exbii 1592 . . . . . 6
1918a1i 11 . . . . 5
2014, 19bibi12d 313 . . . 4
2120albidv 1635 . . 3
229, 13, 21cbvex 1983 . 2
232, 22sylib 189 1
 Colors of variables: wff set class Syntax hints:   wi 4   wb 177   wa 359  wal 1549  wex 1550  wnf 1553 This theorem is referenced by:  axrep5  4325  funimaexg  5530 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1555  ax-5 1566  ax-17 1626  ax-9 1666  ax-8 1687  ax-14 1729  ax-6 1744  ax-7 1749  ax-11 1761  ax-12 1950  ax-rep 4320 This theorem depends on definitions:  df-bi 178  df-an 361  df-tru 1328  df-ex 1551  df-nf 1554
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