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Theorem bnj95 30695
 Description: Technical lemma for bnj124 30702. 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 ∈ V

Proof of Theorem bnj95
StepHypRef Expression
1 bnj95.1 . 2 𝐹 = {⟨∅, pred(𝑥, 𝐴, 𝑅)⟩}
2 snex 4879 . 2 {⟨∅, pred(𝑥, 𝐴, 𝑅)⟩} ∈ V
31, 2eqeltri 2694 1 𝐹 ∈ V
 Colors of variables: wff setvar class Syntax hints:   = wceq 1480   ∈ wcel 1987  Vcvv 3190  ∅c0 3897  {csn 4155  ⟨cop 4161   predc-bnj14 30514 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1719  ax-4 1734  ax-5 1836  ax-6 1885  ax-7 1932  ax-9 1996  ax-10 2016  ax-11 2031  ax-12 2044  ax-13 2245  ax-ext 2601  ax-sep 4751  ax-nul 4759  ax-pr 4877 This theorem depends on definitions:  df-bi 197  df-or 385  df-an 386  df-tru 1483  df-ex 1702  df-nf 1707  df-sb 1878  df-clab 2608  df-cleq 2614  df-clel 2617  df-nfc 2750  df-v 3192  df-dif 3563  df-un 3565  df-nul 3898  df-sn 4156  df-pr 4158 This theorem is referenced by:  bnj124  30702  bnj125  30703  bnj126  30704  bnj150  30707
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