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Theorem ori 855
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 842 . 2 ((𝜑𝜓) ↔ (¬ 𝜑𝜓))
31, 2mpbi 231 1 𝜑𝜓)
Colors of variables: wff setvar class
Syntax hints:  ¬ wn 3  wi 4  wo 841
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 208  df-or 842
This theorem is referenced by:  3ori  1416  mtpor  1762  fvrn0  6691  eliman0  6698  onuninsuci  7544  omelon2  7581  infensuc  8683  rankxpsuc  9299  cardlim  9389  alephreg  9992  tskcard  10191  sinhalfpilem  24976  sltres  33066
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