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Theorem bnj95 31262
Description: Technical lemma for bnj124 31269. 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 5057 . 2 {⟨∅, pred(𝑥, 𝐴, 𝑅)⟩} ∈ V
31, 2eqeltri 2835 1 𝐹 ∈ V
Colors of variables: wff setvar class
Syntax hints:   = wceq 1632  wcel 2139  Vcvv 3340  c0 4058  {csn 4321  cop 4327   predc-bnj14 31084
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1871  ax-4 1886  ax-5 1988  ax-6 2054  ax-7 2090  ax-9 2148  ax-10 2168  ax-11 2183  ax-12 2196  ax-13 2391  ax-ext 2740  ax-sep 4933  ax-nul 4941  ax-pr 5055
This theorem depends on definitions:  df-bi 197  df-or 384  df-an 385  df-tru 1635  df-ex 1854  df-nf 1859  df-sb 2047  df-clab 2747  df-cleq 2753  df-clel 2756  df-nfc 2891  df-v 3342  df-dif 3718  df-un 3720  df-nul 4059  df-sn 4322  df-pr 4324
This theorem is referenced by:  bnj124  31269  bnj125  31270  bnj126  31271  bnj150  31274
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