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Theorem nfrmo1 2871
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 2705 . 2  |-  ( E* x  e.  A ph  <->  E* x ( x  e.  A  /\  ph )
)
2 nfmo1 2291 . 2  |-  F/ x E* x ( x  e.  A  /\  ph )
31, 2nfxfr 1579 1  |-  F/ x E* x  e.  A ph
Colors of variables: wff set class
Syntax hints:    /\ wa 359   F/wnf 1553    e. wcel 1725   E*wmo 2281   E*wrmo 2700
This theorem is referenced by:  nfdisj1  4187  2reu3  27933
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1555  ax-5 1566  ax-17 1626  ax-9 1666  ax-8 1687  ax-6 1744  ax-7 1749  ax-11 1761
This theorem depends on definitions:  df-bi 178  df-ex 1551  df-nf 1554  df-eu 2284  df-mo 2285  df-rmo 2705
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