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Theorem nfmo 2302
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 1627 . . 3  |-  F/ y T.
2 nfeu.1 . . . 4  |-  F/ x ph
32a1i 11 . . 3  |-  ( T. 
->  F/ x ph )
41, 3nfmod 2300 . 2  |-  ( T. 
->  F/ x E* y ph )
54trud 1404 1  |-  F/ x E* y ph
Colors of variables: wff setvar class
Syntax hints:   T. wtru 1396   F/wnf 1617   E*wmo 2284
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1619  ax-4 1632  ax-5 1705  ax-6 1748  ax-7 1791  ax-10 1838  ax-11 1843  ax-12 1855  ax-13 2000
This theorem depends on definitions:  df-bi 185  df-an 371  df-tru 1398  df-ex 1614  df-nf 1618  df-eu 2287  df-mo 2288
This theorem is referenced by:  mo3  2324  moexex  2363  2moex  2365  2euex  2366  2mo  2373  2moOLD  2374  reusv1  4656  reusv2lem1  4657  mosubopt  4754  dffun6f  5608
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