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Theorem nfmo 2065
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 1480 . . 3  |-  F/ y T.
2 nfeu.1 . . . 4  |-  F/ x ph
32a1i 9 . . 3  |-  ( T. 
->  F/ x ph )
41, 3nfmod 2062 . 2  |-  ( T. 
->  F/ x E* y ph )
54mptru 1373 1  |-  F/ x E* y ph
Colors of variables: wff set class
Syntax hints:   T. wtru 1365   F/wnf 1474   E*wmo 2046
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108  ax-io 710  ax-5 1461  ax-7 1462  ax-gen 1463  ax-ie1 1507  ax-ie2 1508  ax-8 1518  ax-10 1519  ax-11 1520  ax-i12 1521  ax-bndl 1523  ax-4 1524  ax-17 1540  ax-i9 1544  ax-ial 1548  ax-i5r 1549
This theorem depends on definitions:  df-bi 117  df-tru 1367  df-nf 1475  df-sb 1777  df-eu 2048  df-mo 2049
This theorem is referenced by:  euexex  2130  nfdisjv  4022  reusv1  4493  mosubopt  4728  dffun6f  5271
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