Metamath Proof Explorer


Theorem wl-luk-pm2.24i

Description: Inference rule. Copy of pm2.24i with a different proof. (Contributed by Wolf Lammen, 17-Dec-2018) (New usage is discouraged.) (Proof modification is discouraged.)

Ref Expression
Hypothesis wl-luk-pm2.24i.1 𝜑
Assertion wl-luk-pm2.24i ( ¬ 𝜑𝜓 )

Proof

Step Hyp Ref Expression
1 wl-luk-pm2.24i.1 𝜑
2 ax-luk3 ( 𝜑 → ( ¬ 𝜑𝜓 ) )
3 1 2 ax-mp ( ¬ 𝜑𝜓 )