Theorem impancom

Description: Mixed importation/commutation inference. (Contributed by NM, 22-Jun-2013)

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

Proof

Step	Hyp	Ref	Expression
1		impancom.1	|- ( ( ph /\ ps ) -> ( ch -> th ) )
2	1	ex	|- ( ph -> ( ps -> ( ch -> th ) ) )
3	2	com23	|- ( ph -> ( ch -> ( ps -> th ) ) )
4	3	imp	|- ( ( ph /\ ch ) -> ( ps -> th ) )