Theorem mpan2d

Description: A deduction based on modus ponens. (Contributed by NM, 12-Dec-2004)

	Ref	Expression
Hypotheses	mpan2d.1	|- ( ph -> ch )
	mpan2d.2	|- ( ph -> ( ( ps /\ ch ) -> th ) )
Assertion	mpan2d	|- ( ph -> ( ps -> th ) )

Proof

Step	Hyp	Ref	Expression
1		mpan2d.1	|- ( ph -> ch )
2		mpan2d.2	|- ( ph -> ( ( ps /\ ch ) -> th ) )
3	2	expd	|- ( ph -> ( ps -> ( ch -> th ) ) )
4	1 3	mpid	|- ( ph -> ( ps -> th ) )