Theorem exrot3 1099

Description: Rotate existential quantifiers.

Assertion

Ref	Expression
exrot3	|- (E.xE.yE.zph <-> E.yE.zE.xph)

Proof of Theorem exrot3

Step	Hyp	Ref	Expression
1		excom13 1098	. 2 |- (E.xE.yE.zph <-> E.zE.yE.xph)
2		excom 1046	. 2 |- (E.zE.yE.xph <-> E.yE.zE.xph)
3	1, 2	bitr 173	1 |- (E.xE.yE.zph <-> E.yE.zE.xph)

Syntax hints:   <-> wb 146  E.wex 980

This theorem is referenced by:  opabn0 2824  dmoprab 4002  rnoprab 4004  xpassen 4441  genpn0 5106  genpass 5112

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7  ax-7 962  ax-gen 963  ax-4 973  ax-5o 975  ax-6o 978

This theorem depends on definitions:  df-bi 147  df-an 225  df-ex 981

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