Theorem a2d

Description: Deduction distributing an embedded antecedent. Deduction form of ax-2 . (Contributed by NM, 23-Jun-1994)

	Ref	Expression
Hypothesis	a2d.1	|- ( ph -> ( ps -> ( ch -> th ) ) )
Assertion	a2d	|- ( ph -> ( ( ps -> ch ) -> ( ps -> th ) ) )

Proof

Step	Hyp	Ref	Expression
1		a2d.1	|- ( ph -> ( ps -> ( ch -> th ) ) )
2		ax-2	|- ( ( ps -> ( ch -> th ) ) -> ( ( ps -> ch ) -> ( ps -> th ) ) )
3	1 2	syl	|- ( ph -> ( ( ps -> ch ) -> ( ps -> th ) ) )