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Theorem nfrmo1 2711
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
StepHypRef Expression
1 df-rmo 2551 . 2  |-  ( E* x  e.  A ph  <->  E* x ( x  e.  A  /\  ph )
)
2 nfmo1 2154 . 2  |-  F/ x E* x ( x  e.  A  /\  ph )
31, 2nfxfr 1557 1  |-  F/ x E* x  e.  A ph
Colors of variables: wff set class
Syntax hints:    /\ wa 358   F/wnf 1531    e. wcel 1684   E*wmo 2144   E*wrmo 2546
This theorem is referenced by:  nfdisj1  4006  2reu3  27966
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1533  ax-5 1544  ax-17 1603  ax-9 1635  ax-8 1643  ax-6 1703  ax-7 1708  ax-11 1715
This theorem depends on definitions:  df-bi 177  df-an 360  df-tru 1310  df-ex 1529  df-nf 1532  df-eu 2147  df-mo 2148  df-rmo 2551
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