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Theorem alrot3 1738
Description: Theorem *11.21 in [WhiteheadRussell] p. 160. (Contributed by Andrew Salmon, 24-May-2011.)
Assertion
Ref Expression
alrot3 (xyzφyzxφ)

Proof of Theorem alrot3
StepHypRef Expression
1 alcom 1737 . 2 (xyzφyxzφ)
2 alcom 1737 . . 3 (xzφzxφ)
32albii 1566 . 2 (yxzφyzxφ)
41, 3bitri 240 1 (xyzφyzxφ)
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:  alrot4  1739  ssrelk  4211  eqrelk  4212  sikexlem  4295  insklem  4304  raliunxp  4823  ssopr  4846  dffun2  5119  fun11  5159
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