Theorem 3impdir

Description: Importation inference (undistribute conjunction). (Contributed by NM, 20-Aug-1995)

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

Proof

Step	Hyp	Ref	Expression
1		3impdir.1	|- ( ( ( ph /\ ps ) /\ ( ch /\ ps ) ) -> th )
2	1	anandirs	|- ( ( ( ph /\ ch ) /\ ps ) -> th )
3	2	3impa	|- ( ( ph /\ ch /\ ps ) -> th )