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Theorem bnj95 28896
Description: Technical lemma for bnj124 28903. This lemma may no longer be used or have become an indirect lemma of the theorem in question (i.e. a lemma of a lemma... of the theorem). (Contributed by Jonathan Ben-Naim, 3-Jun-2011.) (New usage is discouraged.)
Hypothesis
Ref Expression
bnj95.1  |-  F  =  { <. (/) ,  pred (
x ,  A ,  R ) >. }
Assertion
Ref Expression
bnj95  |-  F  e. 
_V

Proof of Theorem bnj95
StepHypRef Expression
1 bnj95.1 . 2  |-  F  =  { <. (/) ,  pred (
x ,  A ,  R ) >. }
2 snex 4216 . 2  |-  { <. (/)
,  pred ( x ,  A ,  R )
>. }  e.  _V
31, 2eqeltri 2353 1  |-  F  e. 
_V
Colors of variables: wff set class
Syntax hints:    = wceq 1623    e. wcel 1684   _Vcvv 2788   (/)c0 3455   {csn 3640   <.cop 3643    predc-bnj14 28713
This theorem is referenced by:  bnj124  28903  bnj125  28904  bnj126  28905  bnj150  28908
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1533  ax-5 1544  ax-17 1603  ax-9 1635  ax-8 1643  ax-14 1688  ax-6 1703  ax-7 1708  ax-11 1715  ax-12 1866  ax-ext 2264  ax-sep 4141  ax-nul 4149  ax-pr 4214
This theorem depends on definitions:  df-bi 177  df-or 359  df-an 360  df-tru 1310  df-ex 1529  df-nf 1532  df-sb 1630  df-clab 2270  df-cleq 2276  df-clel 2279  df-nfc 2408  df-ne 2448  df-v 2790  df-dif 3155  df-un 3157  df-nul 3456  df-sn 3646  df-pr 3647
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