Metamath Proof Explorer


Theorem pm2.521g2

Description: A general instance of Theorem *2.521 of WhiteheadRussell p. 107. (Contributed by NM, 3-Jan-2005) (Proof shortened by Wolf Lammen, 8-Oct-2012)

Ref Expression
Assertion pm2.521g2 ( ¬ ( 𝜑𝜓 ) → ( 𝜒𝜑 ) )

Proof

Step Hyp Ref Expression
1 simplim ( ¬ ( 𝜑𝜓 ) → 𝜑 )
2 1 a1d ( ¬ ( 𝜑𝜓 ) → ( 𝜒𝜑 ) )