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Theorem eean 1987
Description: Rearrange existential quantifiers. (Contributed by NM, 27-Oct-2010.) (Revised by Mario Carneiro, 6-Oct-2016.)
Hypotheses
Ref Expression
eean.1
eean.2
Assertion
Ref Expression
eean

Proof of Theorem eean
StepHypRef Expression
1 eean.1 . . . 4
2119.42 1972 . . 3
32exbii 1667 . 2
4 eean.2 . . . 4
54nfex 1948 . . 3
6519.41 1971 . 2
73, 6bitri 249 1
Colors of variables: wff setvar class
Syntax hints:  <->wb 184  /\wa 369  E.wex 1612  F/wnf 1616
This theorem is referenced by:  eeanv  1988  reean  3024
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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