Theorem aaan 1975

Description: Rearrange universal quantifiers. (Contributed by NM, 12-Aug-1993.)

Hypotheses

Ref	Expression
aaan.1
aaan.2

Assertion

Ref	Expression
aaan

Proof of Theorem aaan

Step	Hyp	Ref	Expression
1		aaan.1	. . . 4
2	1	19.28 1924	. . 3
3	2	albii 1640	. 2
4		aaan.2	. . . 4
5	4	nfal 1947	. . 3
6	5	19.27 1923	. 2
7	3, 6	bitri 249	1

Syntax hints:  <->wb 184  /\wa 369  A.wal 1393  F/wnf 1616

This theorem is referenced by:  mo3OLD  2324  2eu4OLD  2381  aaanv  31294  pm11.71  31303

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-11 1842  ax-12 1854

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