Theorem ee4anv 1990

Description: Rearrange existential quantifiers. (Contributed by NM, 31-Jul-1995.)

Assertion

Ref	Expression
ee4anv

Distinct variable groups:   ,   ,   ,   ,   ,   ,

Proof of Theorem ee4anv

Step	Hyp	Ref	Expression
1		excom 1849	. . 3
2	1	exbii 1667	. 2
3		eeanv 1988	. . 3
4	3	2exbii 1668	. 2
5		eeanv 1988	. 2
6	2, 4, 5	3bitri 271	1

Syntax hints:  <->wb 184  /\wa 369  E.wex 1612

This theorem is referenced by:  cgsex4g  3144  5oalem7  26578  3oalem3  26582  elfuns  29565

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

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