Theorem wl-luk-imim1i

Description: Inference adding common consequents in an implication, thereby interchanging the original antecedent and consequent. Copy of imim1i with a different proof. (Contributed by Wolf Lammen, 17-Dec-2018)

	Ref	Expression
Hypothesis	wl-luk-imim1i.1	|- ( ph -> ps )
Assertion	wl-luk-imim1i	|- ( ( ps -> ch ) -> ( ph -> ch ) )

Proof

Step	Hyp	Ref	Expression
1		wl-luk-imim1i.1	|- ( ph -> ps )
2		ax-luk1	|- ( ( ph -> ps ) -> ( ( ps -> ch ) -> ( ph -> ch ) ) )
3	1 2	ax-mp	|- ( ( ps -> ch ) -> ( ph -> ch ) )