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Theorem nfsbcd 3066
 Description: Deduction version of nfsbc 3067. (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 3047 . 2
2 nfsbcd.2 . . 3
3 nfsbcd.1 . . . 4
4 nfsbcd.3 . . . 4
53, 4nfabd 2508 . . 3
62, 5nfeld 2504 . 2
71, 6nfxfrd 1571 1
 Colors of variables: wff setvar class Syntax hints:   wi 4  wnf 1544   wcel 1710  cab 2339  wnfc 2476  wsbc 3046 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1546  ax-5 1557  ax-17 1616  ax-9 1654  ax-8 1675  ax-6 1729  ax-7 1734  ax-11 1746  ax-12 1925  ax-ext 2334 This theorem depends on definitions:  df-bi 177  df-an 360  df-tru 1319  df-ex 1542  df-nf 1545  df-sb 1649  df-clab 2340  df-cleq 2346  df-clel 2349  df-nfc 2478  df-sbc 3047 This theorem is referenced by:  nfsbc  3067  nfcsbd  3169  sbcnestgf  3183
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