Theorem 3impd

Description: Importation deduction for triple conjunction. (Contributed by NM, 26-Oct-2006)

	Ref	Expression
Hypothesis	3imp1.1	|- ( ph -> ( ps -> ( ch -> ( th -> ta ) ) ) )
Assertion	3impd	|- ( ph -> ( ( ps /\ ch /\ th ) -> ta ) )

Proof

Step	Hyp	Ref	Expression
1		3imp1.1	|- ( ph -> ( ps -> ( ch -> ( th -> ta ) ) ) )
2	1	com4l	|- ( ps -> ( ch -> ( th -> ( ph -> ta ) ) ) )
3	2	3imp	|- ( ( ps /\ ch /\ th ) -> ( ph -> ta ) )
4	3	com12	|- ( ph -> ( ( ps /\ ch /\ th ) -> ta ) )