Theorem mpid

Description: A nested modus ponens deduction. Deduction associated with mpi . (Contributed by NM, 14-Dec-2004)

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

Proof

Step	Hyp	Ref	Expression
1		mpid.1	|- ( ph -> ch )
2		mpid.2	|- ( ph -> ( ps -> ( ch -> th ) ) )
3	1	a1d	|- ( ph -> ( ps -> ch ) )
4	3 2	mpdd	|- ( ph -> ( ps -> th ) )