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Theorem nfeu 1919
 Description: Bound-variable hypothesis builder for existential uniqueness. Note that and needn't be distinct. (Contributed by NM, 8-Mar-1995.) (Revised by Mario Carneiro, 7-Oct-2016.) (Proof rewritten by Jim Kingdon, 23-May-2018.)
Hypothesis
Ref Expression
nfeu.1
Assertion
Ref Expression
nfeu

Proof of Theorem nfeu
Dummy variable is distinct from all other variables.
StepHypRef Expression
1 nfv 1421 . . 3
21sb8eu 1913 . 2
3 nfeu.1 . . . 4
43nfsb 1822 . . 3
54nfeuv 1918 . 2
62, 5nfxfr 1363 1
 Colors of variables: wff set class Syntax hints:  wnf 1349  wsb 1645  weu 1900 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-io 630  ax-5 1336  ax-7 1337  ax-gen 1338  ax-ie1 1382  ax-ie2 1383  ax-8 1395  ax-10 1396  ax-11 1397  ax-i12 1398  ax-bndl 1399  ax-4 1400  ax-17 1419  ax-i9 1423  ax-ial 1427  ax-i5r 1428 This theorem depends on definitions:  df-bi 110  df-tru 1246  df-nf 1350  df-sb 1646  df-eu 1903 This theorem is referenced by:  hbeu  1921  eusv2nf  4188
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