Theorem vuniex 4529

Description: The union of a setvar is a set. (Contributed by BJ, 3-May-2021.)

Assertion

Ref	Expression
vuniex	|- U. x e. _V

Proof of Theorem vuniex

Step	Hyp	Ref	Expression
1		vex 2802	. 2 |- x e. _V
2	1	uniex 4528	1 |- U. x e. _V

Syntax hints:   e. wcel 2200   _Vcvv 2799   U.cuni 3888

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-io 714  ax-5 1493  ax-7 1494  ax-gen 1495  ax-ie1 1539  ax-ie2 1540  ax-8 1550  ax-10 1551  ax-11 1552  ax-i12 1553  ax-bndl 1555  ax-4 1556  ax-17 1572  ax-i9 1576  ax-ial 1580  ax-i5r 1581  ax-13 2202  ax-14 2203  ax-ext 2211  ax-sep 4202  ax-un 4524

This theorem depends on definitions:  df-bi 117  df-tru 1398  df-nf 1507  df-sb 1809  df-clab 2216  df-cleq 2222  df-clel 2225  df-nfc 2361  df-rex 2514  df-v 2801  df-uni 3889

This theorem is referenced by:  omp1eomlem  7261  distop  14759  epttop  14764  fncld  14772