Theorem impd

Description: Importation deduction. (Contributed by NM, 31-Mar-1994)

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

Proof

Step	Hyp	Ref	Expression
1		impd.1	|- ( ph -> ( ps -> ( ch -> th ) ) )
2	1	com3l	|- ( ps -> ( ch -> ( ph -> th ) ) )
3	2	imp	|- ( ( ps /\ ch ) -> ( ph -> th ) )
4	3	com12	|- ( ph -> ( ( ps /\ ch ) -> th ) )