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Theorem nfsbcd 3290
 Description: Deduction version of nfsbc 3291. (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 3270 . 2
2 nfsbcd.2 . . 3
3 nfsbcd.1 . . . 4
4 nfsbcd.3 . . . 4
53, 4nfabd 2614 . . 3
62, 5nfeld 2602 . 2
71, 6nfxfrd 1699 1
 Colors of variables: wff setvar class Syntax hints:   wi 4  wnf 1669   wcel 1889  cab 2439  wnfc 2581  wsbc 3269 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1671  ax-4 1684  ax-5 1760  ax-6 1807  ax-7 1853  ax-10 1917  ax-11 1922  ax-12 1935  ax-13 2093  ax-ext 2433 This theorem depends on definitions:  df-bi 189  df-an 373  df-ex 1666  df-nf 1670  df-sb 1800  df-clab 2440  df-cleq 2446  df-clel 2449  df-nfc 2583  df-sbc 3270 This theorem is referenced by:  nfsbc  3291  nfcsbd  3382  sbcnestgf  3786
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