Theorem mp2an

Description: An inference based on modus ponens. (Contributed by NM, 13-Apr-1995)

	Ref	Expression
Hypotheses	mp2an.1	|- ph
	mp2an.2	|- ps
	mp2an.3	|- ( ( ph /\ ps ) -> ch )
Assertion	mp2an	|- ch

Proof

Step	Hyp	Ref	Expression
1		mp2an.1	|- ph
2		mp2an.2	|- ps
3		mp2an.3	|- ( ( ph /\ ps ) -> ch )
4	1 3	mpan	|- ( ps -> ch )
5	2 4	ax-mp	|- ch