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Theorem nfmo 2193
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 1545 . . 3  |-  F/ y  T.
2 nfeu.1 . . . 4  |-  F/ x ph
32a1i 10 . . 3  |-  (  T. 
->  F/ x ph )
41, 3nfmod 2191 . 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 1535   E*wmo 2177
This theorem is referenced by:  moexex  2245  2moex  2247  2euex  2248  mosubopt  4301  reusv1  4571  reusv2lem1  4572  dffun6f  5306
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1537  ax-5 1548  ax-17 1607  ax-9 1645  ax-8 1666  ax-6 1720  ax-7 1725  ax-11 1732  ax-12 1897
This theorem depends on definitions:  df-bi 177  df-an 360  df-tru 1310  df-ex 1533  df-nf 1536  df-eu 2180  df-mo 2181
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