Theorem tpass 4128

Description: Split off the first element of an unordered triple. (Contributed by Mario Carneiro, 5-Jan-2016.)

Assertion

Ref	Expression
tpass

Proof of Theorem tpass

Step	Hyp	Ref	Expression
1		df-tp 4034	. 2
2		tprot 4125	. 2
3		uncom 3647	. 2
4	1, 2, 3	3eqtr4i 2496	1

Syntax hints:  =wceq 1395  u.cun 3473  {csn 4029  {cpr 4031  {ctp 4033

This theorem is referenced by:  qdassr  4130  en3  7777  wuntp  9110  ex-pw  25150

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-3or 974  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-sn 4030  df-pr 4032  df-tp 4034