Theorem vn0m 3232

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 2560	. 2 |- x e. _V
2		19.8a 1482	. 2 |- ( x e. _V -> E. x x e. _V )
3	1, 2	ax-mp 7	1 |- E. x x e. _V

Syntax hints:   E.wex 1381   e. wcel 1393   _Vcvv 2557

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-5 1336  ax-gen 1338  ax-ie1 1382  ax-ie2 1383  ax-8 1395  ax-4 1400  ax-17 1419  ax-i9 1423  ax-ial 1427  ax-ext 2022

This theorem depends on definitions:  df-bi 110  df-sb 1646  df-clab 2027  df-cleq 2033  df-clel 2036  df-v 2559

This theorem is referenced by:  relrelss  4844