Theorem wl-a1d 32439

Description: Deduction introducing an embedded antecedent. Copy of imim2 56 with a different proof. (Contributed by Wolf Lammen, 17-Dec-2018.) (New usage is discouraged.) (Proof modification is discouraged.)

Hypothesis

Ref	Expression
wl-a1d.1	⊢ (𝜑 → 𝜓)

Assertion

Ref	Expression
wl-a1d	⊢ (𝜑 → (𝜒 → 𝜓))

Proof of Theorem wl-a1d

Step	Hyp	Ref	Expression
1		wl-a1d.1	. 2 ⊢ (𝜑 → 𝜓)
2		wl-ax1 32432	. 2 ⊢ (𝜓 → (𝜒 → 𝜓))
3	1, 2	wl-syl 32422	1 ⊢ (𝜑 → (𝜒 → 𝜓))

Syntax hints:   → wi 4

This theorem was proved from axioms:  ax-mp 5  ax-luk1 32417  ax-luk2 32418  ax-luk3 32419

This theorem is referenced by:  wl-ax2  32440