Theorem bj-imim11i

Description: The propositional function ( ( . -> ph ) -> ps ) is increasing. Its associated inference is wl-syls2 . (Contributed by BJ, 3-Apr-2026)

	Ref	Expression
Hypothesis	bj-imim11i.1	|- ( ph -> ps )
Assertion	bj-imim11i	|- ( ( ( ph -> ch ) -> th ) -> ( ( ps -> ch ) -> th ) )

Proof

Step	Hyp	Ref	Expression
1		bj-imim11i.1	|- ( ph -> ps )
2		bj-imim11	|- ( ( ph -> ps ) -> ( ( ( ph -> ch ) -> th ) -> ( ( ps -> ch ) -> th ) ) )
3	1 2	ax-mp	|- ( ( ( ph -> ch ) -> th ) -> ( ( ps -> ch ) -> th ) )