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Theorem olci 687
Description: Deduction introducing a disjunct. (Contributed by NM, 19-Jan-2008.) (Revised by Mario Carneiro, 31-Jan-2015.)
Hypothesis
Ref Expression
orci.1 𝜑
Assertion
Ref Expression
olci (𝜓𝜑)

Proof of Theorem olci
StepHypRef Expression
1 orci.1 . 2 𝜑
2 olc 668 . 2 (𝜑 → (𝜓𝜑))
31, 2ax-mp 7 1 (𝜓𝜑)
Colors of variables: wff set class
Syntax hints:  wo 665
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 105  ax-ia2 106  ax-io 666
This theorem depends on definitions:  df-bi 116
This theorem is referenced by:  falortru  1344  sucidg  4252  finexdc  6672  finomni  6850  indpi  6955  1ap0  8121  iap0  8693  pnf0xnn0  8797  bcn1  10220  sum0  10834  odd2np1lem  11204  lcm0val  11379  ex-or  11915
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