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Theorem ori 860
Description: Infer implication from disjunction. (Contributed by NM, 11-Jun-1994.)
Hypothesis
Ref Expression
ori.1 (𝜑𝜓)
Assertion
Ref Expression
ori 𝜑𝜓)

Proof of Theorem ori
StepHypRef Expression
1 ori.1 . 2 (𝜑𝜓)
2 df-or 847 . 2 ((𝜑𝜓) ↔ (¬ 𝜑𝜓))
31, 2mpbi 233 1 𝜑𝜓)
Colors of variables: wff setvar class
Syntax hints:  ¬ wn 3  wi 4  wo 846
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8
This theorem depends on definitions:  df-bi 210  df-or 847
This theorem is referenced by:  3ori  1425  mtpor  1777  fvrn0  6715  eliman0  6722  onuninsuci  7587  omelon2  7624  infensuc  8758  rankxpsuc  9397  cardlim  9487  alephreg  10095  tskcard  10294  sinhalfpilem  25221  sltres  33521
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