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Theorem pm2.31 545
Description: Theorem *2.31 of [WhiteheadRussell] p. 104. (Contributed by NM, 3-Jan-2005.)
Assertion
Ref Expression
pm2.31 ((𝜑 ∨ (𝜓𝜒)) → ((𝜑𝜓) ∨ 𝜒))

Proof of Theorem pm2.31
StepHypRef Expression
1 orass 544 . 2 (((𝜑𝜓) ∨ 𝜒) ↔ (𝜑 ∨ (𝜓𝜒)))
21biimpri 216 1 ((𝜑 ∨ (𝜓𝜒)) → ((𝜑𝜓) ∨ 𝜒))
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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