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Theorem nfneld 2305
 Description: Bound-variable hypothesis builder for negated membership. (Contributed by David Abernethy, 26-Jun-2011.) (Revised by Mario Carneiro, 7-Oct-2016.)
Hypotheses
Ref Expression
nfneld.1
nfneld.2
Assertion
Ref Expression
nfneld

Proof of Theorem nfneld
StepHypRef Expression
1 df-nel 2207 . 2
2 nfneld.1 . . . 4
3 nfneld.2 . . . 4
42, 3nfeld 2193 . . 3
54nfnd 1547 . 2
61, 5nfxfrd 1364 1
 Colors of variables: wff set class Syntax hints:   wn 3   wi 4  wnf 1349   wcel 1393  wnfc 2165   wnel 2205 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-in1 544  ax-in2 545  ax-5 1336  ax-7 1337  ax-gen 1338  ax-ie1 1382  ax-ie2 1383  ax-4 1400  ax-17 1419  ax-ial 1427  ax-i5r 1428  ax-ext 2022 This theorem depends on definitions:  df-bi 110  df-tru 1246  df-fal 1249  df-nf 1350  df-cleq 2033  df-clel 2036  df-nfc 2167  df-nel 2207 This theorem is referenced by: (None)
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