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Theorem 3mix2i 1128
Description: Introduction in triple disjunction. (Contributed by Mario Carneiro, 6-Oct-2014.)
Hypothesis
Ref Expression
3mixi.1  |-  ph
Assertion
Ref Expression
3mix2i  |-  ( ps  \/  ph  \/  ch )

Proof of Theorem 3mix2i
StepHypRef Expression
1 3mixi.1 . 2  |-  ph
2 3mix2 1125 . 2  |-  ( ph  ->  ( ps  \/  ph  \/  ch ) )
31, 2ax-mp 8 1  |-  ( ps  \/  ph  \/  ch )
Colors of variables: wff set class
Syntax hints:    \/ w3o 933
This theorem is referenced by:  tpid2  3740  ppiublem2  20442  usgraex1elv  28129
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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