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Theorem olci 684
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 665 . 2 (𝜑 → (𝜓𝜑))
31, 2ax-mp 7 1 (𝜓𝜑)
Colors of variables: wff set class
Syntax hints:  wo 662
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-io 663
This theorem depends on definitions:  df-bi 115
This theorem is referenced by:  falortru  1341  sucidg  4210  finexdc  6548  finomni  6717  indpi  6822  1ap0  7985  iap0  8549  pnf0xnn0  8653  bcn1  10015  odd2np1lem  10666  lcm0val  10841  ex-or  11007
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