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Theorem bj-nvel 13022
Description: nvel 4031 from bounded separation. (Contributed by BJ, 18-Nov-2019.) (Proof modification is discouraged.)
Assertion
Ref Expression
bj-nvel ¬ V ∈ 𝐴

Proof of Theorem bj-nvel
StepHypRef Expression
1 bj-vprc 13021 . 2 ¬ V ∈ V
2 elex 2671 . 2 (V ∈ 𝐴 → V ∈ V)
31, 2mto 636 1 ¬ V ∈ 𝐴
Colors of variables: wff set class
Syntax hints:  ¬ wn 3  wcel 1465  Vcvv 2660
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-in1 588  ax-in2 589  ax-5 1408  ax-gen 1410  ax-ie1 1454  ax-ie2 1455  ax-8 1467  ax-4 1472  ax-13 1476  ax-14 1477  ax-17 1491  ax-i9 1495  ax-ial 1499  ax-ext 2099  ax-bdn 12942  ax-bdel 12946  ax-bdsep 13009
This theorem depends on definitions:  df-bi 116  df-tru 1319  df-fal 1322  df-nf 1422  df-sb 1721  df-clab 2104  df-cleq 2110  df-clel 2113  df-v 2662
This theorem is referenced by: (None)
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