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Theorem tpcoma 3892
 Description: Swap 1st and 2nd members of an undordered triple. (Contributed by NM, 22-May-2015.)
Assertion
Ref Expression
tpcoma

Proof of Theorem tpcoma
StepHypRef Expression
1 prcom 3874 . . 3
21uneq1i 3489 . 2
3 df-tp 3814 . 2
4 df-tp 3814 . 2
52, 3, 43eqtr4i 2465 1
 Colors of variables: wff set class Syntax hints:   wceq 1652   cun 3310  csn 3806  cpr 3807  ctp 3808 This theorem is referenced by:  tpcomb  3893  tppreqb  3931  nb3grapr2  21455  nb3gra2nb  21456  frgra3v  28329  3vfriswmgra  28332  1to3vfriswmgra  28334 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1555  ax-5 1566  ax-17 1626  ax-9 1666  ax-8 1687  ax-6 1744  ax-7 1749  ax-11 1761  ax-12 1950  ax-ext 2416 This theorem depends on definitions:  df-bi 178  df-or 360  df-an 361  df-tru 1328  df-ex 1551  df-nf 1554  df-sb 1659  df-clab 2422  df-cleq 2428  df-clel 2431  df-nfc 2560  df-v 2950  df-un 3317  df-pr 3813  df-tp 3814
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