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Theorem nfrexd 2758
 Description: Deduction version of nfrex 2761. (Contributed by Mario Carneiro, 14-Oct-2016.)
Hypotheses
Ref Expression
nfrald.2
nfrald.3
nfrald.4
Assertion
Ref Expression
nfrexd

Proof of Theorem nfrexd
StepHypRef Expression
1 dfrex2 2718 . 2
2 nfrald.2 . . . 4
3 nfrald.3 . . . 4
4 nfrald.4 . . . . 5
54nfnd 1809 . . . 4
62, 3, 5nfrald 2757 . . 3
76nfnd 1809 . 2
81, 7nfxfrd 1580 1
 Colors of variables: wff set class Syntax hints:   wn 3   wi 4  wnf 1553  wnfc 2559  wral 2705  wrex 2706 This theorem is referenced by:  nfunid  4022 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1555  ax-5 1566  ax-17 1626  ax-9 1666  ax-8 1687  ax-6 1744  ax-7 1749  ax-11 1761  ax-12 1950  ax-ext 2417 This theorem depends on definitions:  df-bi 178  df-an 361  df-tru 1328  df-ex 1551  df-nf 1554  df-cleq 2429  df-clel 2432  df-nfc 2561  df-ral 2710  df-rex 2711
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