Theorem wl-impchain-a1-1 37396

Description: Inference rule, a copy of a1i 11. Head start of a recursive proof pattern. (Contributed by Wolf Lammen, 20-Jun-2020.) (New usage is discouraged.) (Proof modification is discouraged.)

Hypothesis

Ref	Expression
wl-impchain-a1-1.a	⊢ 𝜑

Assertion

Ref	Expression
wl-impchain-a1-1	⊢ (𝜓 → 𝜑)

Proof of Theorem wl-impchain-a1-1

Step	Hyp	Ref	Expression
1		wl-impchain-a1-1.a	. 2 ⊢ 𝜑
2	1	wl-luk-a1i 37364	1 ⊢ (𝜓 → 𝜑)

Syntax hints:   → wi 4

This theorem was proved from axioms:  ax-mp 5  ax-luk1 37354  ax-luk2 37355  ax-luk3 37356

This theorem is referenced by:  wl-impchain-a1-2  37397