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Theorem bnj1418 29346
 Description: Property of . (Contributed by Jonathan Ben-Naim, 3-Jun-2011.) (New usage is discouraged.)
Assertion
Ref Expression
bnj1418

Proof of Theorem bnj1418
Dummy variable is distinct from all other variables.
StepHypRef Expression
1 breq1 4207 . 2
2 df-bnj14 28990 . . 3
32bnj1538 29163 . 2
41, 3vtoclga 3009 1
 Colors of variables: wff set class Syntax hints:   wi 4   wcel 1725   class class class wbr 4204   c-bnj14 28989 This theorem is referenced by:  bnj1417  29347  bnj1523  29377 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-3an 938  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-rab 2706  df-v 2950  df-dif 3315  df-un 3317  df-in 3319  df-ss 3326  df-nul 3621  df-if 3732  df-sn 3812  df-pr 3813  df-op 3815  df-br 4205  df-bnj14 28990
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