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Theorem pm2.6 192
Description: Theorem *2.6 of [WhiteheadRussell] p. 107. (Contributed by NM, 3-Jan-2005.)
Assertion
Ref Expression
pm2.6 ((¬ 𝜑𝜓) → ((𝜑𝜓) → 𝜓))

Proof of Theorem pm2.6
StepHypRef Expression
1 id 22 . 2 ((¬ 𝜑𝜓) → (¬ 𝜑𝜓))
2 idd 24 . 2 ((¬ 𝜑𝜓) → (𝜓𝜓))
31, 2jad 188 1 ((¬ 𝜑𝜓) → ((𝜑𝜓) → 𝜓))
Colors of variables: wff setvar class
Syntax hints:  ¬ wn 3  wi 4
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8
This theorem is referenced by:  pm2.61  193
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