Theorem drnf2 2072

Description: Formula-building lemma for use with the Distinctor Reduction Theorem. (Contributed by Mario Carneiro, 4-Oct-2016.) (Proof shortened by Wolf Lammen, 5-May-2018.)

Hypothesis

Ref	Expression
dral1.1

Assertion

Ref	Expression
drnf2

Proof of Theorem drnf2

Step	Hyp	Ref	Expression
1		nfae 2056	. 2
2		dral1.1	. 2
3	1, 2	nfbidf 1887	1

Syntax hints:  ->wi 4  <->wb 184  A.wal 1393  F/wnf 1616

This theorem is referenced by:  nfsb4t  2130  drnfc2  2639

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

This theorem depends on definitions:  df-bi 185  df-an 371  df-ex 1613  df-nf 1617