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Theorem exrot3 1760
Description: Rotate existential quantifiers. (Contributed by NM, 17-Mar-1995.)
Assertion
Ref Expression
exrot3  |-  ( E. x E. y E. z ph  <->  E. y E. z E. x ph )

Proof of Theorem exrot3
StepHypRef Expression
1 excom13 1759 . 2  |-  ( E. x E. y E. z ph  <->  E. z E. y E. x ph )
2 excom 1757 . 2  |-  ( E. z E. y E. x ph  <->  E. y E. z E. x ph )
31, 2bitri 242 1  |-  ( E. x E. y E. z ph  <->  E. y E. z E. x ph )
Colors of variables: wff set class
Syntax hints:    <-> wb 178   E.wex 1551
This theorem is referenced by:  opabn0  4488  dmoprab  6157  rnoprab  6159  xpassen  7205  elima4  25409  brimg  25787  ellines  26091
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1556  ax-5 1567  ax-7 1750
This theorem depends on definitions:  df-bi 179  df-ex 1552
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