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Theorem elsuc2 5512
 Description: Membership in a successor. (Contributed by NM, 15-Sep-2003.)
Hypothesis
Ref Expression
elsuc.1
Assertion
Ref Expression
elsuc2

Proof of Theorem elsuc2
StepHypRef Expression
1 elsuc.1 . 2
2 elsuc2g 5510 . 2
31, 2ax-mp 5 1
 Colors of variables: wff setvar class Syntax hints:   wb 187   wo 369   wceq 1437   wcel 1870  cvv 3087   csuc 5444 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1665  ax-4 1678  ax-5 1751  ax-6 1797  ax-7 1841  ax-10 1889  ax-11 1894  ax-12 1907  ax-13 2055  ax-ext 2407 This theorem depends on definitions:  df-bi 188  df-or 371  df-an 372  df-tru 1440  df-ex 1660  df-nf 1664  df-sb 1790  df-clab 2415  df-cleq 2421  df-clel 2424  df-nfc 2579  df-v 3089  df-un 3447  df-sn 4003  df-suc 5448 This theorem is referenced by:  alephordi  8503
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