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Theorem 3mix3d 24069
Description: Deduction introducing triple disjunction. (Contributed by Scott Fenton, 8-Jun-2011.)
Hypothesis
Ref Expression
3mixd.1  |-  ( ph  ->  ps )
Assertion
Ref Expression
3mix3d  |-  ( ph  ->  ( ch  \/  th  \/  ps ) )

Proof of Theorem 3mix3d
StepHypRef Expression
1 3mixd.1 . 2  |-  ( ph  ->  ps )
2 3mix3 1126 . 2  |-  ( ps 
->  ( ch  \/  th  \/  ps ) )
31, 2syl 15 1  |-  ( ph  ->  ( ch  \/  th  \/  ps ) )
Colors of variables: wff set class
Syntax hints:    -> wi 4    \/ w3o 933
This theorem is referenced by:  sltsolem1  24322  nodense  24343
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8
This theorem depends on definitions:  df-bi 177  df-or 359  df-3or 935
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