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Theorem nfmo 2226
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 1554 . . 3  |-  F/ y  T.
2 nfeu.1 . . . 4  |-  F/ x ph
32a1i 10 . . 3  |-  (  T. 
->  F/ x ph )
41, 3nfmod 2224 . 2  |-  (  T. 
->  F/ x E* y ph )
54trud 1323 1  |-  F/ x E* y ph
Colors of variables: wff set class
Syntax hints:    T. wtru 1316   F/wnf 1544   E*wmo 2210
This theorem is referenced by:  moexex  2278  2moex  2280  2euex  2281  mosubopt  4346  reusv1  4616  reusv2lem1  4617  dffun6f  5351
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1546  ax-5 1557  ax-17 1616  ax-9 1654  ax-8 1675  ax-6 1729  ax-7 1734  ax-11 1746  ax-12 1930
This theorem depends on definitions:  df-bi 177  df-an 360  df-tru 1319  df-ex 1542  df-nf 1545  df-eu 2213  df-mo 2214
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