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

Step	Hyp	Ref	Expression
1		vex 2644	. 2 |- x e. _V
2		19.8a 1537	. 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 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