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Theorem axrep4 4483
 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 4482 . . 3
2119.35i 1735 . 2
3 nfv 1755 . . . . 5
4 nfv 1755 . . . . . . 7
5 nfa1 1956 . . . . . . 7
64, 5nfan 1988 . . . . . 6
76nfex 2008 . . . . 5
83, 7nfbi 1994 . . . 4
98nfal 2007 . . 3
10 nfv 1755 . . . . 5
11 nfe1 1894 . . . . 5
1210, 11nfbi 1994 . . . 4
1312nfal 2007 . . 3
14 elequ2 1877 . . . . 5
15 axrep4.1 . . . . . . . . 9
161519.3 1943 . . . . . . . 8
1716anbi2i 698 . . . . . . 7
1817exbii 1712 . . . . . 6
1918a1i 11 . . . . 5
2014, 19bibi12d 322 . . . 4
2120albidv 1761 . . 3
229, 13, 21cbvex 2087 . 2
232, 22sylib 199 1
 Colors of variables: wff setvar class Syntax hints:   wi 4   wb 187   wa 370  wal 1435  wex 1657  wnf 1661 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1663  ax-4 1676  ax-5 1752  ax-6 1798  ax-7 1843  ax-9 1876  ax-10 1891  ax-11 1896  ax-12 1909  ax-13 2063  ax-rep 4479 This theorem depends on definitions:  df-bi 188  df-an 372  df-tru 1440  df-ex 1658  df-nf 1662 This theorem is referenced by:  axrep5  4484  funimaexg  5621
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