Theorem expdimp

Description: A deduction version of exportation, followed by importation. (Contributed by NM, 6-Sep-2008)

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

Proof

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