Theorem bnj432

Description: /\ -manipulation. (Contributed by Jonathan Ben-Naim, 3-Jun-2011) (New usage is discouraged.)

	Ref	Expression
Assertion	bnj432	|- ( ( ph /\ ps /\ ch /\ th ) <-> ( ( ch /\ th ) /\ ( ph /\ ps ) ) )

Proof

Step	Hyp	Ref	Expression
1		bnj422	|- ( ( ph /\ ps /\ ch /\ th ) <-> ( ch /\ th /\ ph /\ ps ) )
2		bnj256	|- ( ( ch /\ th /\ ph /\ ps ) <-> ( ( ch /\ th ) /\ ( ph /\ ps ) ) )
3	1 2	bitri	|- ( ( ph /\ ps /\ ch /\ th ) <-> ( ( ch /\ th ) /\ ( ph /\ ps ) ) )