Metamath Proof Explorer


Theorem pm2.26

Description: Theorem *2.26 of WhiteheadRussell p. 104. See pm2.27 . (Contributed by NM, 3-Jan-2005) (Proof shortened by Wolf Lammen, 23-Nov-2012)

Ref Expression
Assertion pm2.26 ( ¬ 𝜑 ∨ ( ( 𝜑𝜓 ) → 𝜓 ) )

Proof

Step Hyp Ref Expression
1 pm2.27 ( 𝜑 → ( ( 𝜑𝜓 ) → 𝜓 ) )
2 1 imori ( ¬ 𝜑 ∨ ( ( 𝜑𝜓 ) → 𝜓 ) )