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Theorem drnfc1 2505
 Description: Formula-building lemma for use with the Distinctor Reduction Theorem. (Contributed by Mario Carneiro, 8-Oct-2016.)
Hypothesis
Ref Expression
drnfc1.1
Assertion
Ref Expression
drnfc1

Proof of Theorem drnfc1
Dummy variable is distinct from all other variables.
StepHypRef Expression
1 drnfc1.1 . . . . 5
21eleq2d 2420 . . . 4
32drnf1 1969 . . 3
43dral2 1966 . 2
5 df-nfc 2478 . 2
6 df-nfc 2478 . 2
74, 5, 63bitr4g 279 1
 Colors of variables: wff setvar class Syntax hints:   wi 4   wb 176  wal 1540  wnf 1544   wceq 1642   wcel 1710  wnfc 2476 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 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-cleq 2346  df-clel 2349  df-nfc 2478 This theorem is referenced by:  nfabd2  2507
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