Theorem wl-imim1i 33245

Description: Inference adding common consequents in an implication, thereby interchanging the original antecedent and consequent. Copy of imim1i 63 with a different proof. (Contributed by Wolf Lammen, 17-Dec-2018.)

Hypothesis

Ref	Expression
wl-imim1i.1	|- ( ph -> ps )

Assertion

Ref	Expression
wl-imim1i	|- ( ( ps -> ch ) -> ( ph -> ch ) )

Proof of Theorem wl-imim1i

Step	Hyp	Ref	Expression
1		wl-imim1i.1	. 2 |- ( ph -> ps )
2		ax-luk1 33241	. 2 |- ( ( ph -> ps ) -> ( ( ps -> ch ) -> ( ph -> ch ) ) )
3	1, 2	ax-mp 5	1 |- ( ( ps -> ch ) -> ( ph -> ch ) )

Syntax hints:   -> wi 4

This theorem was proved from axioms:  ax-mp 5  ax-luk1 33241

This theorem is referenced by:  wl-syl  33246  wl-syl5  33247