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Theorem pm2.63 747
Description: Theorem *2.63 of [WhiteheadRussell] p. 107. (Contributed by NM, 3-Jan-2005.)
Assertion
Ref Expression
pm2.63 ((𝜑𝜓) → ((¬ 𝜑𝜓) → 𝜓))

Proof of Theorem pm2.63
StepHypRef Expression
1 pm2.53 674 . 2 ((𝜑𝜓) → (¬ 𝜑𝜓))
2 idd 21 . 2 ((𝜑𝜓) → (𝜓𝜓))
31, 2jaod 670 1 ((𝜑𝜓) → ((¬ 𝜑𝜓) → 𝜓))
Colors of variables: wff set class
Syntax hints:  ¬ wn 3  wi 4  wo 662
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-ia3 106  ax-in2 578  ax-io 663
This theorem depends on definitions:  df-bi 115
This theorem is referenced by: (None)
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