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Theorem axextprim 23218
 Description: ax-ext 2234 without distinct variable conditions or defined symbols. (Contributed by Scott Fenton, 13-Oct-2010.)
Assertion
Ref Expression
axextprim

Proof of Theorem axextprim
StepHypRef Expression
1 axextnd 8093 . 2
2 dfbi2 612 . . . . . 6
32imbi1i 317 . . . . 5
4 impexp 435 . . . . 5
53, 4bitri 242 . . . 4
65exbii 1580 . . 3
7 df-ex 1538 . . 3
86, 7bitri 242 . 2
91, 8mpbi 201 1
 Colors of variables: wff set class Syntax hints:   wn 5   wi 6   wb 178   wa 360  wal 1532  wex 1537 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-11 1624  ax-13 1625  ax-14 1626  ax-17 1628  ax-12o 1664  ax-10 1678  ax-9 1684  ax-4 1692  ax-ext 2234 This theorem depends on definitions:  df-bi 179  df-an 362  df-tru 1315  df-ex 1538  df-nf 1540  df-sb 1883  df-cleq 2246  df-clel 2249  df-nfc 2374
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