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Theorem imori 402
Description: Infer disjunction from implication. (Contributed by NM, 12-Mar-2012.)
Hypothesis
Ref Expression
imori.1 (φψ)
Assertion
Ref Expression
imori φ ψ)

Proof of Theorem imori
StepHypRef Expression
1 imori.1 . 2 (φψ)
2 imor 401 . 2 ((φψ) ↔ (¬ φ ψ))
31, 2mpbi 199 1 φ ψ)
Colors of variables: wff setvar class
Syntax hints:  ¬ wn 3  wi 4   wo 357
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 177  df-or 359
This theorem is referenced by:  pm2.1  406  pm2.26  853  rb-ax1  1517
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