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Theorem tpssi 4196
Description: A triple of elements of a class is a subset of the class. (Contributed by Alexander van der Vekens, 1-Feb-2018.)
Assertion
Ref Expression
tpssi

Proof of Theorem tpssi
StepHypRef Expression
1 df-tp 4034 . 2
2 prssi 4186 . . . 4
323adant3 1016 . . 3
4 snssi 4174 . . . 4
543ad2ant3 1019 . . 3
63, 5unssd 3679 . 2
71, 6syl5eqss 3547 1
Colors of variables: wff setvar class
Syntax hints:  ->wi 4  /\w3a 973  e.wcel 1818  u.cun 3473  C_wss 3475  {csn 4029  {cpr 4031  {ctp 4033
This theorem is referenced by:  trgcgrg  23906  2trllemG  24560  sgnclre  28478  signstf  28523  fourierdlem46  31935  fourierdlem102  31991  fourierdlem114  32003  etransclem48  32065
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-10 1837  ax-11 1842  ax-12 1854  ax-13 1999  ax-ext 2435
This theorem depends on definitions:  df-bi 185  df-or 370  df-an 371  df-3an 975  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-v 3111  df-un 3480  df-in 3482  df-ss 3489  df-sn 4030  df-pr 4032  df-tp 4034
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