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Theorem nfmo 2019
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 1442 . . 3  |-  F/ y T.
2 nfeu.1 . . . 4  |-  F/ x ph
32a1i 9 . . 3  |-  ( T. 
->  F/ x ph )
41, 3nfmod 2016 . 2  |-  ( T. 
->  F/ x E* y ph )
54mptru 1340 1  |-  F/ x E* y ph
Colors of variables: wff set class
Syntax hints:   T. wtru 1332   F/wnf 1436   E*wmo 2000
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-io 698  ax-5 1423  ax-7 1424  ax-gen 1425  ax-ie1 1469  ax-ie2 1470  ax-8 1482  ax-10 1483  ax-11 1484  ax-i12 1485  ax-bndl 1486  ax-4 1487  ax-17 1506  ax-i9 1510  ax-ial 1514  ax-i5r 1515
This theorem depends on definitions:  df-bi 116  df-tru 1334  df-nf 1437  df-sb 1736  df-eu 2002  df-mo 2003
This theorem is referenced by:  euexex  2084  nfdisjv  3918  reusv1  4379  mosubopt  4604  dffun6f  5136
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