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Theorem 3mix2 1167
Description: Introduction in triple disjunction. (Contributed by NM, 4-Apr-1995.)
Assertion
Ref Expression
3mix2  |-  ( ph  ->  ( ps  \/  ph  \/  ch ) )

Proof of Theorem 3mix2
StepHypRef Expression
1 3mix1 1166 . 2  |-  ( ph  ->  ( ph  \/  ch  \/  ps ) )
2 3orrot 984 . 2  |-  ( ( ps  \/  ph  \/  ch )  <->  ( ph  \/  ch  \/  ps ) )
31, 2sylibr 134 1  |-  ( ph  ->  ( ps  \/  ph  \/  ch ) )
Colors of variables: wff set class
Syntax hints:    -> wi 4    \/ w3o 977
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108  ax-io 709
This theorem depends on definitions:  df-bi 117  df-3or 979
This theorem is referenced by:  3mix2i  1170  3mix2d  1173  3jaob  1302  funtpg  5266  elnn0z  9262  nn0le2is012  9331  nn01to3  9613  zabsle1  14271  triap  14637
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