Theorem nfrmo1 2650

Description: x is not free in E* x e. A ph. (Contributed by NM, 16-Jun-2017.)

Assertion

Ref	Expression
nfrmo1	|- F/ x E* x e. A ph

Proof of Theorem nfrmo1

Step	Hyp	Ref	Expression
1		df-rmo 2463	. 2 |- ( E* x e. A ph <-> E* x ( x e. A /\ ph ) )
2		nfmo1 2038	. 2 |- F/ x E* x ( x e. A /\ ph )
3	1, 2	nfxfr 1474	1 |- F/ x E* x e. A ph

Syntax hints:   /\ wa 104   F/wnf 1460   E*wmo 2027   e. wcel 2148   E*wrmo 2458

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 1447  ax-7 1448  ax-gen 1449  ax-ie1 1493  ax-ie2 1494  ax-4 1510  ax-ial 1534  ax-i5r 1535

This theorem depends on definitions:  df-bi 117  df-nf 1461  df-eu 2029  df-mo 2030  df-rmo 2463

This theorem is referenced by:  nfdisj1  3995