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Theorem eeeeanv 24944
 Description: Rearrange existential quantifiers. (Contributed by FL, 14-Jul-2007.)
Assertion
Ref Expression
eeeeanv
Distinct variable groups:   ,,,   ,,   ,   ,,   ,   ,,,
Allowed substitution hints:   ()   ()   ()   ()

Proof of Theorem eeeeanv
StepHypRef Expression
1 19.41vvv 1844 . . . . 5
2 eeeanv 1855 . . . . . 6
32anbi2ci 677 . . . . 5
41, 3bitri 240 . . . 4
54exbii 1569 . . 3
6 19.41v 1842 . . 3
75, 6bitri 240 . 2
8 ancom 437 . . . . 5
9 and4com 24940 . . . . 5
108, 9bitri 240 . . . 4
11103exbii 1571 . . 3
1211exbii 1569 . 2
13 and4com 24940 . 2
147, 12, 133bitr3i 266 1
 Colors of variables: wff set class Syntax hints:   wb 176   wa 358   w3a 934  wex 1528 This theorem is referenced by:  elo  25041 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1533  ax-5 1544  ax-17 1603  ax-9 1635  ax-8 1643  ax-6 1703  ax-7 1708  ax-11 1715 This theorem depends on definitions:  df-bi 177  df-an 360  df-3an 936  df-tru 1310  df-ex 1529  df-nf 1532
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