Theorem an4s

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

	Ref	Expression
Hypothesis	an4s.1	|- ( ( ( ph /\ ps ) /\ ( ch /\ th ) ) -> ta )
Assertion	an4s	|- ( ( ( ph /\ ch ) /\ ( ps /\ th ) ) -> ta )

Proof

Step	Hyp	Ref	Expression
1		an4s.1	|- ( ( ( ph /\ ps ) /\ ( ch /\ th ) ) -> ta )
2		an4	|- ( ( ( ph /\ ch ) /\ ( ps /\ th ) ) <-> ( ( ph /\ ps ) /\ ( ch /\ th ) ) )
3	2 1	sylbi	|- ( ( ( ph /\ ch ) /\ ( ps /\ th ) ) -> ta )