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Theorem olci 721
Description: Deduction introducing a disjunct. (Contributed by NM, 19-Jan-2008.) (Revised by Mario Carneiro, 31-Jan-2015.)
Hypothesis
Ref Expression
orci.1  |-  ph
Assertion
Ref Expression
olci  |-  ( ps  \/  ph )

Proof of Theorem olci
StepHypRef Expression
1 orci.1 . 2  |-  ph
2 olc 700 . 2  |-  ( ph  ->  ( ps  \/  ph ) )
31, 2ax-mp 5 1  |-  ( ps  \/  ph )
Colors of variables: wff set class
Syntax hints:    \/ wo 697
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-io 698
This theorem depends on definitions:  df-bi 116
This theorem is referenced by:  falortru  1385  sucidg  4338  finexdc  6796  finomni  7012  indpi  7157  1ap0  8359  iap0  8950  pnf0xnn0  9054  bcn1  10511  sum0  11164  odd2np1lem  11575  lcm0val  11752  ex-or  12987
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