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Theorem nfmo 2160
Description: Bound-variable hypothesis builder for "at most one." (Contributed by NM, 9-Mar-1995.)
Hypothesis
Ref Expression
nfeu.1  |-  F/ x ph
Assertion
Ref Expression
nfmo  |-  F/ x E* y ph

Proof of Theorem nfmo
StepHypRef Expression
1 nftru 1541 . . 3  |-  F/ y  T.
2 nfeu.1 . . . 4  |-  F/ x ph
32a1i 10 . . 3  |-  (  T. 
->  F/ x ph )
41, 3nfmod 2158 . 2  |-  (  T. 
->  F/ x E* y ph )
54trud 1314 1  |-  F/ x E* y ph
Colors of variables: wff set class
Syntax hints:    T. wtru 1307   F/wnf 1531   E*wmo 2144
This theorem is referenced by:  moexex  2212  2moex  2214  2euex  2215  mosubopt  4264  reusv1  4534  reusv2lem1  4535  dffun6f  5269
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  ax-12 1866
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
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