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Theorem 3mix1i 1076
Description: Introduction in triple disjunction. (Contributed by Mario Carneiro, 6-Oct-2014.)
Hypothesis
Ref Expression
3mixi.1  |-  ph
Assertion
Ref Expression
3mix1i  |-  ( ph  \/  ps  \/  ch )

Proof of Theorem 3mix1i
StepHypRef Expression
1 3mixi.1 . 2  |-  ph
2 3mix1 1073 . 2  |-  ( ph  ->  ( ph  \/  ps  \/  ch ) )
31, 2ax-mp 7 1  |-  ( ph  \/  ps  \/  ch )
Colors of variables: wff set class
Syntax hints:    \/ w3o 884
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-io 630
This theorem depends on definitions:  df-bi 110  df-3or 886
This theorem is referenced by:  tpid1  3481  0z  8256
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