Metamath Proof Explorer


Theorem conax1k

Description: Weakening of conax1 . General instance of pm2.51 and of pm2.52 . (Contributed by BJ, 28-Oct-2023)

Ref Expression
Assertion conax1k ( ¬ ( 𝜑𝜓 ) → ( 𝜒 → ¬ 𝜓 ) )

Proof

Step Hyp Ref Expression
1 conax1 ( ¬ ( 𝜑𝜓 ) → ¬ 𝜓 )
2 1 a1d ( ¬ ( 𝜑𝜓 ) → ( 𝜒 → ¬ 𝜓 ) )