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Theorem olci 686
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 667 . 2  |-  ( ph  ->  ( ps  \/  ph ) )
31, 2ax-mp 7 1  |-  ( ps  \/  ph )
Colors of variables: wff set class
Syntax hints:    \/ wo 664
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-io 665
This theorem depends on definitions:  df-bi 115
This theorem is referenced by:  falortru  1343  sucidg  4243  finexdc  6618  finomni  6796  indpi  6901  1ap0  8067  iap0  8639  pnf0xnn0  8743  bcn1  10166  sum0  10780  odd2np1lem  11150  lcm0val  11325  ex-or  11649
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