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Theorem vn0m 3344
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 2663 . 2  |-  x  e. 
_V
2 19.8a 1554 . 2  |-  ( x  e.  _V  ->  E. x  x  e.  _V )
31, 2ax-mp 5 1  |-  E. x  x  e.  _V
Colors of variables: wff set class
Syntax hints:   E.wex 1453    e. 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-5 1408  ax-gen 1410  ax-ie1 1454  ax-ie2 1455  ax-8 1467  ax-4 1472  ax-17 1491  ax-i9 1495  ax-ial 1499  ax-ext 2099
This theorem depends on definitions:  df-bi 116  df-sb 1721  df-clab 2104  df-cleq 2110  df-clel 2113  df-v 2662
This theorem is referenced by:  relrelss  5035
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