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Theorem 3mix3 1163
Description: Introduction in triple disjunction. (Contributed by NM, 4-Apr-1995.)
Assertion
Ref Expression
3mix3  |-  ( ph  ->  ( ps  \/  ch  \/  ph ) )

Proof of Theorem 3mix3
StepHypRef Expression
1 3mix1 1161 . 2  |-  ( ph  ->  ( ph  \/  ps  \/  ch ) )
2 3orrot 979 . 2  |-  ( (
ph  \/  ps  \/  ch )  <->  ( ps  \/  ch  \/  ph ) )
31, 2sylib 121 1  |-  ( ph  ->  ( ps  \/  ch  \/  ph ) )
Colors of variables: wff set class
Syntax hints:    -> wi 4    \/ w3o 972
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-io 704
This theorem depends on definitions:  df-bi 116  df-3or 974
This theorem is referenced by:  3mix3i  1166  3mix3d  1169  3jaob  1297  tpid3g  3696  funtpg  5247  exmidontriimlem3  7189  nn0le2is012  9283  nn01to3  9565  fztri3or  9984  qbtwnxr  10203  hashfiv01gt1  10705
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