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Theorem sucexg 6595
 Description: The successor of a set is a set (generalization). (Contributed by NM, 5-Jun-1994.)
Assertion
Ref Expression
sucexg

Proof of Theorem sucexg
StepHypRef Expression
1 elex 3031 . 2
2 sucexb 6594 . 2
31, 2sylib 199 1
 Colors of variables: wff setvar class Syntax hints:   wi 4   wcel 1872  cvv 3022   csuc 5387 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-8 1874  ax-9 1876  ax-10 1891  ax-11 1896  ax-12 1909  ax-13 2063  ax-ext 2408  ax-sep 4489  ax-nul 4498  ax-pr 4603  ax-un 6541 This theorem depends on definitions:  df-bi 188  df-or 371  df-an 372  df-tru 1440  df-ex 1658  df-nf 1662  df-sb 1791  df-clab 2415  df-cleq 2421  df-clel 2424  df-nfc 2558  df-ne 2601  df-rex 2720  df-v 3024  df-dif 3382  df-un 3384  df-in 3386  df-ss 3393  df-nul 3705  df-sn 3942  df-pr 3944  df-uni 4163  df-suc 5391 This theorem is referenced by:  sucex  6596  suceloni  6598  hsmexlem1  8807  dfon2lem3  30382
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