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Theorem 3mix3i 1132
Description: Introduction in triple disjunction. (Contributed by Mario Carneiro, 6-Oct-2014.)
Hypothesis
Ref Expression
3mixi.1  |-  ph
Assertion
Ref Expression
3mix3i  |-  ( ps  \/  ch  \/  ph )

Proof of Theorem 3mix3i
StepHypRef Expression
1 3mixi.1 . 2  |-  ph
2 3mix3 1129 . 2  |-  ( ph  ->  ( ps  \/  ch  \/  ph ) )
31, 2ax-mp 5 1  |-  ( ps  \/  ch  \/  ph )
Colors of variables: wff set class
Syntax hints:    \/ w3o 936
This theorem is referenced by:  tpid3  3922  ppiublem2  20992
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8
This theorem depends on definitions:  df-bi 179  df-or 361  df-3or 938
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