Theorem bj-nvel 14509

Description: nvel 4135 from bounded separation. (Contributed by BJ, 18-Nov-2019.) (Proof modification is discouraged.)

Assertion

Ref	Expression
bj-nvel	|- -. _V e. A

Proof of Theorem bj-nvel

Step	Hyp	Ref	Expression
1		bj-vprc 14508	. 2 |- -. _V e. _V
2		elex 2748	. 2 |- ( _V e. A -> _V e. _V )
3	1, 2	mto 662	1 |- -. _V e. A

Syntax hints:   -. wn 3   e. wcel 2148   _Vcvv 2737

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-in1 614  ax-in2 615  ax-5 1447  ax-gen 1449  ax-ie1 1493  ax-ie2 1494  ax-8 1504  ax-4 1510  ax-17 1526  ax-i9 1530  ax-ial 1534  ax-13 2150  ax-14 2151  ax-ext 2159  ax-bdn 14429  ax-bdel 14433  ax-bdsep 14496

This theorem depends on definitions:  df-bi 117  df-tru 1356  df-fal 1359  df-nf 1461  df-sb 1763  df-clab 2164  df-cleq 2170  df-clel 2173  df-v 2739

This theorem is referenced by: (None)