Theorem wl-impchain-a1-3 37464

Description: Inference rule, a copy of a1dd 50. A recursive proof depending on previous instances, and demonstrating the proof pattern. (Contributed by Wolf Lammen, 20-Jun-2020.) (New usage is discouraged.) (Proof modification is discouraged.)

Hypothesis

Ref	Expression
wl-impchain-a1-3.a	⊢ (𝜑 → (𝜓 → 𝜒))

Assertion

Ref	Expression
wl-impchain-a1-3	⊢ (𝜑 → (𝜓 → (𝜃 → 𝜒)))

Proof of Theorem wl-impchain-a1-3

Step	Hyp	Ref	Expression
1		wl-impchain-a1-3.a	. . 3 ⊢ (𝜑 → (𝜓 → 𝜒))
2	1	wl-impchain-a1-2 37463	. 2 ⊢ (𝜑 → (𝜃 → (𝜓 → 𝜒)))
3	2	wl-impchain-com-2.3 37458	1 ⊢ (𝜑 → (𝜓 → (𝜃 → 𝜒)))

Syntax hints:   → wi 4

This theorem was proved from axioms:  ax-mp 5  ax-luk1 37420  ax-luk2 37421  ax-luk3 37422

This theorem is referenced by: (None)