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Theorem nfmo 2326
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 1687 . . 3  |-  F/ y T.
2 nfeu.1 . . . 4  |-  F/ x ph
32a1i 11 . . 3  |-  ( T. 
->  F/ x ph )
41, 3nfmod 2324 . 2  |-  ( T. 
->  F/ x E* y ph )
54trud 1463 1  |-  F/ x E* y ph
Colors of variables: wff setvar class
Syntax hints:   T. wtru 1455   F/wnf 1677   E*wmo 2310
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1679  ax-4 1692  ax-5 1768  ax-6 1815  ax-7 1861  ax-10 1925  ax-11 1930  ax-12 1943  ax-13 2101
This theorem depends on definitions:  df-bi 190  df-an 377  df-tru 1457  df-ex 1674  df-nf 1678  df-eu 2313  df-mo 2314
This theorem is referenced by:  mo3  2346  moexex  2380  2moex  2382  2euex  2383  2mo  2390  reusv1  4616  reusv2lem1  4617  mosubopt  4712  dffun6f  5614
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