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Theorem sucidALT 32751
 Description: A set belongs to its successor. This proof was automatically derived from sucidALTVD 32750 using translatewithout_overwriting.cmd and minimizing. (Contributed by Alan Sare, 18-Feb-2012.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypothesis
Ref Expression
sucidALT.1
Assertion
Ref Expression
sucidALT

Proof of Theorem sucidALT
StepHypRef Expression
1 sucidALT.1 . . . 4
21snid 4055 . . 3
3 elun1 3671 . . 3
42, 3ax-mp 5 . 2
5 df-suc 4884 . . 3
65equncomi 3650 . 2
74, 6eleqtrri 2554 1
 Colors of variables: wff setvar class Syntax hints:   wcel 1767  cvv 3113   cun 3474  csn 4027   csuc 4880 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1601  ax-4 1612  ax-5 1680  ax-6 1719  ax-7 1739  ax-10 1786  ax-11 1791  ax-12 1803  ax-13 1968  ax-ext 2445 This theorem depends on definitions:  df-bi 185  df-or 370  df-an 371  df-tru 1382  df-ex 1597  df-nf 1600  df-sb 1712  df-clab 2453  df-cleq 2459  df-clel 2462  df-nfc 2617  df-v 3115  df-un 3481  df-in 3483  df-ss 3490  df-sn 4028  df-suc 4884 This theorem is referenced by: (None)
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