Theorem syl11

Description: A syllogism inference. Commuted form of an instance of syl . (Contributed by BJ, 25-Oct-2021)

	Ref	Expression
Hypotheses	syl11.1	|- ( ph -> ( ps -> ch ) )
	syl11.2	|- ( th -> ph )
Assertion	syl11	|- ( ps -> ( th -> ch ) )

Proof

Step	Hyp	Ref	Expression
1		syl11.1	|- ( ph -> ( ps -> ch ) )
2		syl11.2	|- ( th -> ph )
3	2 1	syl	|- ( th -> ( ps -> ch ) )
4	3	com12	|- ( ps -> ( th -> ch ) )