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Theorem nfeu 2300
Description: Bound-variable hypothesis builder for uniqueness. Note that and needn't be distinct. (Contributed by NM, 8-Mar-1995.) (Revised by Mario Carneiro, 7-Oct-2016.)
Hypothesis
Ref Expression
nfeu.1
Assertion
Ref Expression
nfeu

Proof of Theorem nfeu
StepHypRef Expression
1 nftru 1626 . . 3
2 nfeu.1 . . . 4
32a1i 11 . . 3
41, 3nfeud 2298 . 2
54trud 1404 1
Colors of variables: wff setvar class
Syntax hints:   wtru 1396  F/wnf 1616  E!weu 2282
This theorem is referenced by:  2eu7  2385  2eu8  2386  eusv2nf  4650  reusv2lem3  4655  bnj1489  34112
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1618  ax-4 1631  ax-5 1704  ax-6 1747  ax-7 1790  ax-10 1837  ax-11 1842  ax-12 1854  ax-13 1999
This theorem depends on definitions:  df-bi 185  df-an 371  df-tru 1398  df-ex 1613  df-nf 1617  df-eu 2286
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