Theorem 3imp1

Description: Importation to left triple conjunction. (Contributed by NM, 24-Feb-2005)

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

Proof

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