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Theorem prtlem12 27053
Description: Lemma for prtex 27066 and prter3 27068. (Contributed by Rodolfo Medina, 13-Oct-2010.)
Assertion
Ref Expression
prtlem12
Distinct variable group:   ,
Allowed substitution hints:   ( , , )   ( , , )

Proof of Theorem prtlem12
StepHypRef Expression
1 relopab 5047 . 2
2 releq 5005 . 2
31, 2mpbiri 226 1
Colors of variables: wff set class
Syntax hints:  ->wi 4  /\wa 360  =wceq 1654  E.wrex 2717  {copab 4304  Relwrel 4928
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1556  ax-5 1567  ax-17 1628  ax-9 1669  ax-8 1690  ax-14 1732  ax-6 1747  ax-7 1752  ax-11 1764  ax-12 1955  ax-ext 2428  ax-sep 4368  ax-nul 4376  ax-pr 4446
This theorem depends on definitions:  df-bi 179  df-or 361  df-an 362  df-3an 939  df-tru 1329  df-ex 1552  df-nf 1555  df-sb 1661  df-clab 2434  df-cleq 2440  df-clel 2443  df-nfc 2572  df-ne 2612  df-ral 2721  df-rex 2722  df-rab 2725  df-v 2971  df-dif 3316  df-un 3318  df-in 3320  df-ss 3327  df-nul 3621  df-if 3770  df-sn 3851  df-pr 3852  df-op 3854  df-opab 4306  df-xp 4929  df-rel 4930
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