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 ( 𝜑 → ( 𝜒𝜓 ) )

Proof

Step Hyp Ref Expression
1 wl-luk-a1d.1 ( 𝜑𝜓 )
2 wl-luk-ax1 ( 𝜓 → ( 𝜒𝜓 ) )
3 1 2 wl-luk-syl ( 𝜑 → ( 𝜒𝜓 ) )