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Theorem ori 713
Description: Infer implication from disjunction. (Contributed by NM, 11-Jun-1994.) (Revised by Mario Carneiro, 31-Jan-2015.)
Hypothesis
Ref Expression
ori.1 (𝜑𝜓)
Assertion
Ref Expression
ori 𝜑𝜓)

Proof of Theorem ori
StepHypRef Expression
1 ori.1 . 2 (𝜑𝜓)
2 pm2.53 712 . 2 ((𝜑𝜓) → (¬ 𝜑𝜓))
31, 2ax-mp 5 1 𝜑𝜓)
Colors of variables: wff set class
Syntax hints:  ¬ wn 3  wi 4  wo 698
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-in2 605  ax-io 699
This theorem depends on definitions:  df-bi 116
This theorem is referenced by:  3ori  1279  mtpor  1404  ax-12  1490  sbal1yz  1977  dvelimALT  1986  dvelimfv  1987
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