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Theorem olci 706
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 685 . 2 (𝜑 → (𝜓𝜑))
31, 2ax-mp 5 1 (𝜓𝜑)
Colors of variables: wff set class
Syntax hints:  wo 682
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-io 683
This theorem depends on definitions:  df-bi 116
This theorem is referenced by:  falortru  1370  sucidg  4308  finexdc  6764  finomni  6980  indpi  7118  1ap0  8320  iap0  8911  pnf0xnn0  9015  bcn1  10472  sum0  11125  odd2np1lem  11496  lcm0val  11673  ex-or  12861
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