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Theorem vn0m 3321
Description: The universal class is inhabited. (Contributed by Jim Kingdon, 17-Dec-2018.)
Assertion
Ref Expression
vn0m  |-  E. x  x  e.  _V

Proof of Theorem vn0m
StepHypRef Expression
1 vex 2644 . 2  |-  x  e. 
_V
2 19.8a 1537 . 2  |-  ( x  e.  _V  ->  E. x  x  e.  _V )
31, 2ax-mp 7 1  |-  E. x  x  e.  _V
Colors of variables: wff set class
Syntax hints:   E.wex 1436    e. wcel 1448   _Vcvv 2641
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-5 1391  ax-gen 1393  ax-ie1 1437  ax-ie2 1438  ax-8 1450  ax-4 1455  ax-17 1474  ax-i9 1478  ax-ial 1482  ax-ext 2082
This theorem depends on definitions:  df-bi 116  df-sb 1704  df-clab 2087  df-cleq 2093  df-clel 2096  df-v 2643
This theorem is referenced by:  relrelss  5001
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