Theorem nfrmo1 2626

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 2440	. 2 |- ( E* x e. A ph <-> E* x ( x e. A /\ ph ) )
2		nfmo1 2015	. 2 |- F/ x E* x ( x e. A /\ ph )
3	1, 2	nfxfr 1451	1 |- F/ x E* x e. A ph

Syntax hints:   /\ wa 103   F/wnf 1437   E*wmo 2004   e. wcel 2125   E*wrmo 2435

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-5 1424  ax-7 1425  ax-gen 1426  ax-ie1 1470  ax-ie2 1471  ax-4 1487  ax-ial 1511  ax-i5r 1512

This theorem depends on definitions:  df-bi 116  df-nf 1438  df-eu 2006  df-mo 2007  df-rmo 2440

This theorem is referenced by:  nfdisj1  3951