Theorem wl-pm2.24i 33250

Description: Inference rule. Copy of pm2.24i 146 with a different proof. (Contributed by Wolf Lammen, 17-Dec-2018.) (New usage is discouraged.) (Proof modification is discouraged.)

Hypothesis

Ref	Expression
wl-pm2.24i.1	|- ph

Assertion

Ref	Expression
wl-pm2.24i	|- ( -. ph -> ps )

Proof of Theorem wl-pm2.24i

Step	Hyp	Ref	Expression
1		wl-pm2.24i.1	. 2 |- ph
2		ax-luk3 33243	. 2 |- ( ph -> ( -. ph -> ps ) )
3	1, 2	ax-mp 5	1 |- ( -. ph -> ps )

Syntax hints:   -. wn 3   -> wi 4

This theorem was proved from axioms:  ax-mp 5  ax-luk3 33243

This theorem is referenced by:  wl-a1i  33251