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Theorem olci 650
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 (ψ φ)

Proof of Theorem olci
StepHypRef Expression
1 orci.1 . 2 φ
2 olc 631 . 2 (φ → (ψ φ))
31, 2ax-mp 7 1 (ψ φ)
Colors of variables: wff set class
Syntax hints:   wo 628
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-io 629
This theorem depends on definitions:  df-bi 110
This theorem is referenced by:  falortru  1295  sucidg  4119  indpi  6326  1ap0  7354  iap0  7905
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