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Theorem nfovd 6321
Description: Deduction version of bound-variable hypothesis builder nfov 6322. (Contributed by NM, 13-Dec-2005.) (Proof shortened by Andrew Salmon, 22-Oct-2011.)
Hypotheses
Ref Expression
nfovd.2
nfovd.3
nfovd.4
Assertion
Ref Expression
nfovd

Proof of Theorem nfovd
StepHypRef Expression
1 df-ov 6299 . 2
2 nfovd.3 . . 3
3 nfovd.2 . . . 4
4 nfovd.4 . . . 4
53, 4nfopd 4234 . . 3
62, 5nffvd 5880 . 2
71, 6nfcxfrd 2618 1
Colors of variables: wff setvar class
Syntax hints:  ->wi 4  F/_wnfc 2605  <.cop 4035  `cfv 5593  (class class class)co 6296
This theorem is referenced by:  nfov  6322  nfnegd  9838
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-or 370  df-an 371  df-3an 975  df-tru 1398  df-ex 1613  df-nf 1617  df-sb 1740  df-clab 2443  df-cleq 2449  df-clel 2452  df-nfc 2607  df-ral 2812  df-rex 2813  df-rab 2816  df-v 3111  df-dif 3478  df-un 3480  df-in 3482  df-ss 3489  df-nul 3785  df-if 3942  df-sn 4030  df-pr 4032  df-op 4036  df-uni 4250  df-br 4453  df-iota 5556  df-fv 5601  df-ov 6299
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