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Theorem snsstp1 3858
Description: A singleton is a subset of an unordered triple containing its member. (Contributed by NM, 9-Oct-2013.)
Assertion
Ref Expression
snsstp1

Proof of Theorem snsstp1
StepHypRef Expression
1 snsspr1 3856 . . 3
2 ssun1 3426 . . 3
31, 2sstri 3281 . 2
4 df-tp 3743 . 2
53, 4sseqtr4i 3304 1
Colors of variables: wff setvar class
Syntax hints:   cun 3207   wss 3257  csn 3737  cpr 3738  ctp 3739
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1546  ax-5 1557  ax-17 1616  ax-9 1654  ax-8 1675  ax-6 1729  ax-7 1734  ax-11 1746  ax-12 1925  ax-ext 2334
This theorem depends on definitions:  df-bi 177  df-or 359  df-an 360  df-nan 1288  df-tru 1319  df-ex 1542  df-nf 1545  df-sb 1649  df-clab 2340  df-cleq 2346  df-clel 2349  df-nfc 2478  df-v 2861  df-nin 3211  df-compl 3212  df-in 3213  df-un 3214  df-ss 3259  df-pr 3742  df-tp 3743
This theorem is referenced by: (None)
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