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Theorem alrot4 1739
Description: Rotate 4 universal quantifiers twice. (Contributed by NM, 2-Feb-2005.) (Proof shortened by Fan Zheng, 6-Jun-2016.)
Assertion
Ref Expression
alrot4 (xyzwφzwxyφ)

Proof of Theorem alrot4
StepHypRef Expression
1 alrot3 1738 . . 3 (yzwφzwyφ)
21albii 1566 . 2 (xyzwφxzwyφ)
3 alrot3 1738 . 2 (xzwyφzwxyφ)
42, 3bitri 240 1 (xyzwφzwxyφ)
Colors of variables: wff setvar class
Syntax hints:  wb 176  wal 1540
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1546  ax-5 1557  ax-7 1734
This theorem depends on definitions:  df-bi 177
This theorem is referenced by:  2mo  2282  fun11  5159
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