Theorem wl-luk-a1d

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

	Ref	Expression
Hypothesis	wl-luk-a1d.1	$$⊢\phi \to \psi$$
Assertion	wl-luk-a1d	$$⊢\phi \to \left(\chi \to \psi \right)$$

Proof

Step	Hyp	Ref	Expression
1		wl-luk-a1d.1	$$⊢\phi \to \psi$$
2		wl-luk-ax1	$$⊢\psi \to \left(\chi \to \psi \right)$$
3	1 2	wl-luk-syl	$$⊢\phi \to \left(\chi \to \psi \right)$$