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Theorem imorri 403
Description: Infer implication from disjunction. (Contributed by Jonathan Ben-Naim, 3-Jun-2011.)
Hypothesis
Ref Expression
imorri.1 φ ψ)
Assertion
Ref Expression
imorri (φψ)

Proof of Theorem imorri
StepHypRef Expression
1 imorri.1 . 2 φ ψ)
2 imor 401 . 2 ((φψ) ↔ (¬ φ ψ))
31, 2mpbir 200 1 (φψ)
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:  anmp  1516
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