Theorem nfrmo1 2526

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 2356	. 2 |- ( E* x e. A ph <-> E* x ( x e. A /\ ph ) )
2		nfmo1 1953	. 2 |- F/ x E* x ( x e. A /\ ph )
3	1, 2	nfxfr 1403	1 |- F/ x E* x e. A ph

Syntax hints:   /\ wa 102   F/wnf 1389   e. wcel 1433   E*wmo 1942   E*wrmo 2351

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-ia3 106  ax-5 1376  ax-7 1377  ax-gen 1378  ax-ie1 1422  ax-ie2 1423  ax-4 1440  ax-ial 1467  ax-i5r 1468

This theorem depends on definitions:  df-bi 115  df-nf 1390  df-eu 1944  df-mo 1945  df-rmo 2356

This theorem is referenced by:  nfdisj1  3779