Theorem wl-luk-pm2.24i 35505

Description: Inference rule. Copy of pm2.24i 153 with a different proof. (Contributed by Wolf Lammen, 17-Dec-2018.) (New usage is discouraged.) (Proof modification is discouraged.)

Hypothesis

Ref	Expression
wl-luk-pm2.24i.1	⊢ 𝜑

Assertion

Ref	Expression
wl-luk-pm2.24i	⊢ (¬ 𝜑 → 𝜓)

Proof of Theorem wl-luk-pm2.24i

Step	Hyp	Ref	Expression
1		wl-luk-pm2.24i.1	. 2 ⊢ 𝜑
2		ax-luk3 35498	. 2 ⊢ (𝜑 → (¬ 𝜑 → 𝜓))
3	1, 2	ax-mp 5	1 ⊢ (¬ 𝜑 → 𝜓)

Syntax hints:  ¬ wn 3   → wi 4

This theorem was proved from axioms:  ax-mp 5  ax-luk3 35498

This theorem is referenced by:  wl-luk-a1i  35506