Metamath Proof Explorer


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 φψ
Assertion wl-luk-a1d φχψ

Proof

Step Hyp Ref Expression
1 wl-luk-a1d.1 φψ
2 wl-luk-ax1 ψχψ
3 1 2 wl-luk-syl φχψ