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Theorem 3mix1 1135
Description: Introduction in triple disjunction. (Contributed by NM, 4-Apr-1995.)
Assertion
Ref Expression
3mix1  |-  ( ph  ->  ( ph  \/  ps  \/  ch ) )

Proof of Theorem 3mix1
StepHypRef Expression
1 orc 686 . 2  |-  ( ph  ->  ( ph  \/  ( ps  \/  ch ) ) )
2 3orass 950 . 2  |-  ( (
ph  \/  ps  \/  ch )  <->  ( ph  \/  ( ps  \/  ch ) ) )
31, 2sylibr 133 1  |-  ( ph  ->  ( ph  \/  ps  \/  ch ) )
Colors of variables: wff set class
Syntax hints:    -> wi 4    \/ wo 682    \/ w3o 946
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 683
This theorem depends on definitions:  df-bi 116  df-3or 948
This theorem is referenced by:  3mix2  1136  3mix3  1137  3mix1i  1138  3mix1d  1141  3jaob  1265  nntri3or  6357  elnn0z  9025  nn0le2is012  9091  nn01to3  9365  fztri3or  9774
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