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Theorem olci 732
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 711 . 2 (𝜑 → (𝜓𝜑))
31, 2ax-mp 5 1 (𝜓𝜑)
Colors of variables: wff set class
Syntax hints:  wo 708
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-io 709
This theorem depends on definitions:  df-bi 117
This theorem is referenced by:  falortru  1407  sucidg  4417  finexdc  6902  finomni  7138  indpi  7341  1ap0  8547  iap0  9142  pnf0xnn0  9246  bcn1  10738  sum0  11396  prod0  11593  odd2np1lem  11877  lcm0val  12065  ex-or  14477  dcapnconst  14811
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