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Theorem nfsbcd 3182
 Description: Deduction version of nfsbc 3183. (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 3163 . 2
2 nfsbcd.2 . . 3
3 nfsbcd.1 . . . 4
4 nfsbcd.3 . . . 4
53, 4nfabd 2592 . . 3
62, 5nfeld 2588 . 2
71, 6nfxfrd 1581 1
 Colors of variables: wff set class Syntax hints:   wi 4  wnf 1554   wcel 1726  cab 2423  wnfc 2560  wsbc 3162 This theorem is referenced by:  nfsbc  3183  nfcsbd  3285  sbcnestgf  3299 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1556  ax-5 1567  ax-17 1627  ax-9 1667  ax-8 1688  ax-6 1745  ax-7 1750  ax-11 1762  ax-12 1951  ax-ext 2418 This theorem depends on definitions:  df-bi 179  df-an 362  df-tru 1329  df-ex 1552  df-nf 1555  df-sb 1660  df-clab 2424  df-cleq 2430  df-clel 2433  df-nfc 2562  df-sbc 3163
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