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Theorem wl-a1i 33590
Description: Inference rule. Copy of a1i 11 with a different proof. (Contributed by Wolf Lammen, 17-Dec-2018.) (New usage is discouraged.) (Proof modification is discouraged.)
Hypothesis
Ref Expression
wl-a1i.1 𝜑
Assertion
Ref Expression
wl-a1i (𝜓𝜑)

Proof of Theorem wl-a1i
StepHypRef Expression
1 wl-a1i.1 . . 3 𝜑
21wl-pm2.24i 33589 . 2 𝜑 → ¬ 𝜓)
32wl-con4i 33588 1 (𝜓𝜑)
Colors of variables: wff setvar class
Syntax hints:  ¬ wn 3  wi 4
This theorem was proved from axioms:  ax-mp 5  ax-luk1 33580  ax-luk2 33581  ax-luk3 33582
This theorem is referenced by:  wl-mpi  33591  wl-impchain-a1-1  33622
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