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Theorem vn0m 3406
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 2715 . 2  |-  x  e. 
_V
2 19.8a 1570 . 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 1472    e. wcel 2128   _Vcvv 2712
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 1427  ax-gen 1429  ax-ie1 1473  ax-ie2 1474  ax-8 1484  ax-4 1490  ax-17 1506  ax-i9 1510  ax-ial 1514  ax-ext 2139
This theorem depends on definitions:  df-bi 116  df-sb 1743  df-clab 2144  df-cleq 2150  df-clel 2153  df-v 2714
This theorem is referenced by:  relrelss  5114
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