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Theorem axrep4 4567
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:   , , ,

Proof of Theorem axrep4
StepHypRef Expression
1 axrep3 4566 . . 3
2119.35i 1689 . 2
3 nfv 1707 . . . . 5
4 nfv 1707 . . . . . . 7
5 nfa1 1897 . . . . . . 7
64, 5nfan 1928 . . . . . 6
76nfex 1948 . . . . 5
83, 7nfbi 1934 . . . 4
98nfal 1947 . . 3
10 nfv 1707 . . . . 5
11 nfe1 1840 . . . . 5
1210, 11nfbi 1934 . . . 4
1312nfal 1947 . . 3
14 elequ2 1823 . . . . 5
15 axrep4.1 . . . . . . . . 9
161519.3 1888 . . . . . . . 8
1716anbi2i 694 . . . . . . 7
1817exbii 1667 . . . . . 6
1918a1i 11 . . . . 5
2014, 19bibi12d 321 . . . 4
2120albidv 1713 . . 3
229, 13, 21cbvex 2022 . 2
232, 22sylib 196 1
Colors of variables: wff setvar class
Syntax hints:  ->wi 4  <->wb 184  /\wa 369  A.wal 1393  E.wex 1612  F/wnf 1616
This theorem is referenced by:  axrep5  4568  funimaexg  5670
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1618  ax-4 1631  ax-5 1704  ax-6 1747  ax-7 1790  ax-9 1822  ax-10 1837  ax-11 1842  ax-12 1854  ax-13 1999  ax-rep 4563
This theorem depends on definitions:  df-bi 185  df-an 371  df-tru 1398  df-ex 1613  df-nf 1617
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