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Theorem nfmo 2295
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 1609 . . 3  |-  F/ y T.
2 nfeu.1 . . . 4  |-  F/ x ph
32a1i 11 . . 3  |-  ( T. 
->  F/ x ph )
41, 3nfmod 2293 . 2  |-  ( T. 
->  F/ x E* y ph )
54trud 1388 1  |-  F/ x E* y ph
Colors of variables: wff setvar class
Syntax hints:   T. wtru 1380   F/wnf 1599   E*wmo 2276
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1601  ax-4 1612  ax-5 1680  ax-6 1719  ax-7 1739  ax-10 1786  ax-11 1791  ax-12 1803  ax-13 1968
This theorem depends on definitions:  df-bi 185  df-an 371  df-tru 1382  df-ex 1597  df-nf 1600  df-eu 2279  df-mo 2280
This theorem is referenced by:  mo3  2320  moexex  2371  moexexOLD  2372  2moex  2374  2euex  2375  2mo  2382  2moOLD  2383  reusv1  4647  reusv2lem1  4648  mosubopt  4745  dffun6f  5600
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