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Theorem sucexg 6645
 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 3118 . 2
2 sucexb 6644 . 2
31, 2sylib 196 1
 Colors of variables: wff setvar class Syntax hints:  ->wi 4  e.wcel 1818   cvv 3109  succsuc 4885 This theorem is referenced by:  sucex  6646  suceloni  6648  hsmexlem1  8827  dfon2lem3  29217 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-8 1820  ax-9 1822  ax-10 1837  ax-11 1842  ax-12 1854  ax-13 1999  ax-ext 2435  ax-sep 4573  ax-nul 4581  ax-pr 4691  ax-un 6592 This theorem depends on definitions:  df-bi 185  df-or 370  df-an 371  df-tru 1398  df-ex 1613  df-nf 1617  df-sb 1740  df-clab 2443  df-cleq 2449  df-clel 2452  df-nfc 2607  df-ne 2654  df-rex 2813  df-v 3111  df-dif 3478  df-un 3480  df-in 3482  df-ss 3489  df-nul 3785  df-sn 4030  df-pr 4032  df-uni 4250  df-suc 4889
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