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Theorem nfsbcd 3348
 Description: Deduction version of nfsbc 3349. (Contributed by NM, 23-Nov-2005.) (Revised by Mario Carneiro, 12-Oct-2016.)
Hypotheses
Ref Expression
nfsbcd.1
nfsbcd.2
nfsbcd.3
Assertion
Ref Expression
nfsbcd

Proof of Theorem nfsbcd
StepHypRef Expression
1 df-sbc 3328 . 2
2 nfsbcd.2 . . 3
3 nfsbcd.1 . . . 4
4 nfsbcd.3 . . . 4
53, 4nfabd 2641 . . 3
62, 5nfeld 2627 . 2
71, 6nfxfrd 1646 1
 Colors of variables: wff setvar class Syntax hints:  ->wi 4  F/wnf 1616  e.wcel 1818  {cab 2442  F/_wnfc 2605  [.wsbc 3327 This theorem is referenced by:  nfsbc  3349  nfcsbd  3451  sbcnestgf  3839 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  ax-ext 2435 This theorem depends on definitions:  df-bi 185  df-an 371  df-ex 1613  df-nf 1617  df-sb 1740  df-clab 2443  df-cleq 2449  df-clel 2452  df-nfc 2607  df-sbc 3328
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