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Theorem pm2.41 693
Description: Theorem *2.41 of [WhiteheadRussell] p. 106. (Contributed by NM, 3-Jan-2005.)
Assertion
Ref Expression
pm2.41 ((𝜓 ∨ (𝜑𝜓)) → (𝜑𝜓))

Proof of Theorem pm2.41
StepHypRef Expression
1 olc 632 . 2 (𝜓 → (𝜑𝜓))
2 id 19 . 2 ((𝜑𝜓) → (𝜑𝜓))
31, 2jaoi 636 1 ((𝜓 ∨ (𝜑𝜓)) → (𝜑𝜓))
Colors of variables: wff set class
Syntax hints:  wi 4  wo 629
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-io 630
This theorem depends on definitions:  df-bi 110
This theorem is referenced by: (None)
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