Theorem wl-impchain-a1-2 35539

Description: Inference rule, a copy of a1d 25. First recursive proof based on the previous instance. (Contributed by Wolf Lammen, 20-Jun-2020.) (New usage is discouraged.) (Proof modification is discouraged.)

Hypothesis

Ref	Expression
wl-impchain-a1-2.a	⊢ (𝜑 → 𝜓)

Assertion

Ref	Expression
wl-impchain-a1-2	⊢ (𝜑 → (𝜒 → 𝜓))

Proof of Theorem wl-impchain-a1-2

Step	Hyp	Ref	Expression
1		wl-impchain-a1-2.a	. . 3 ⊢ (𝜑 → 𝜓)
2	1	wl-impchain-a1-1 35538	. 2 ⊢ (𝜒 → (𝜑 → 𝜓))
3	2	wl-impchain-com-1.2 35530	1 ⊢ (𝜑 → (𝜒 → 𝜓))

Syntax hints:   → wi 4

This theorem was proved from axioms:  ax-mp 5  ax-luk1 35496  ax-luk2 35497  ax-luk3 35498

This theorem is referenced by:  wl-impchain-a1-3  35540