Theorem mp3an2i

Description: mp3an with antecedents in standard conjunction form and with two hypotheses which are implications. (Contributed by Alan Sare, 28-Aug-2016)

	Ref	Expression
Hypotheses	mp3an2i.1	|- ph
	mp3an2i.2	|- ( ps -> ch )
	mp3an2i.3	|- ( ps -> th )
	mp3an2i.4	|- ( ( ph /\ ch /\ th ) -> ta )
Assertion	mp3an2i	|- ( ps -> ta )

Proof

Step	Hyp	Ref	Expression
1		mp3an2i.1	|- ph
2		mp3an2i.2	|- ( ps -> ch )
3		mp3an2i.3	|- ( ps -> th )
4		mp3an2i.4	|- ( ( ph /\ ch /\ th ) -> ta )
5	1 4	mp3an1	|- ( ( ch /\ th ) -> ta )
6	2 3 5	syl2anc	|- ( ps -> ta )