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Theorem ee4anv 1990
Description: Rearrange existential quantifiers. (Contributed by NM, 31-Jul-1995.)
Assertion
Ref Expression
ee4anv
Distinct variable groups:   ,   ,   ,   ,   ,   ,

Proof of Theorem ee4anv
StepHypRef Expression
1 excom 1849 . . 3
21exbii 1667 . 2
3 eeanv 1988 . . 3
432exbii 1668 . 2
5 eeanv 1988 . 2
62, 4, 53bitri 271 1
Colors of variables: wff setvar class
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
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