Theorem vn0m 3506

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

Step	Hyp	Ref	Expression
1		vex 2805	. 2 |- x e. _V
2		19.8a 1638	. 2 |- ( x e. _V -> E. x x e. _V )
3	1, 2	ax-mp 5	1 |- E. x x e. _V

Syntax hints:   E.wex 1540   e. wcel 2202   _Vcvv 2802

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108  ax-5 1495  ax-gen 1497  ax-ie1 1541  ax-ie2 1542  ax-8 1552  ax-4 1558  ax-17 1574  ax-i9 1578  ax-ial 1582  ax-ext 2213

This theorem depends on definitions:  df-bi 117  df-sb 1811  df-clab 2218  df-cleq 2224  df-clel 2227  df-v 2804

This theorem is referenced by:  relrelss  5263  imasaddfnlemg  13396