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Theorem pm2.4 596
Description: Theorem *2.4 of [WhiteheadRussell] p. 106. (Contributed by NM, 3-Jan-2005.)
Assertion
Ref Expression
pm2.4 ((𝜑 ∨ (𝜑𝜓)) → (𝜑𝜓))

Proof of Theorem pm2.4
StepHypRef Expression
1 orc 398 . 2 (𝜑 → (𝜑𝜓))
2 id 22 . 2 ((𝜑𝜓) → (𝜑𝜓))
31, 2jaoi 392 1 ((𝜑 ∨ (𝜑𝜓)) → (𝜑𝜓))
Colors of variables: wff setvar class
Syntax hints:  wi 4  wo 381
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 195  df-or 383
This theorem is referenced by: (None)
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