Theorem an42s

Description: Inference rearranging 4 conjuncts in antecedent. (Contributed by NM, 10-Aug-1995)

	Ref	Expression
Hypothesis	an41r3s.1	|- ( ( ( ph /\ ps ) /\ ( ch /\ th ) ) -> ta )
Assertion	an42s	|- ( ( ( ph /\ ch ) /\ ( th /\ ps ) ) -> ta )

Proof

Step	Hyp	Ref	Expression
1		an41r3s.1	|- ( ( ( ph /\ ps ) /\ ( ch /\ th ) ) -> ta )
2	1	an4s	|- ( ( ( ph /\ ch ) /\ ( ps /\ th ) ) -> ta )
3	2	ancom2s	|- ( ( ( ph /\ ch ) /\ ( th /\ ps ) ) -> ta )