Theorem bj-looinvi

Description: Inference associated with looinv . Its associated inference is bj-looinvii . (Contributed by BJ, 30-Mar-2020)

	Ref	Expression
Hypothesis	bj-looinvi.1	|- ( ( ph -> ps ) -> ps )
Assertion	bj-looinvi	|- ( ( ps -> ph ) -> ph )

Proof

Step	Hyp	Ref	Expression
1		bj-looinvi.1	|- ( ( ph -> ps ) -> ps )
2		looinv	|- ( ( ( ph -> ps ) -> ps ) -> ( ( ps -> ph ) -> ph ) )
3	1 2	ax-mp	|- ( ( ps -> ph ) -> ph )