Theorem bnj170

Description: /\ -manipulation. (Contributed by Jonathan Ben-Naim, 3-Jun-2011) (Proof shortened by Andrew Salmon, 14-Jun-2011) (New usage is discouraged.)

	Ref	Expression
Assertion	bnj170	|- ( ( ph /\ ps /\ ch ) <-> ( ( ps /\ ch ) /\ ph ) )

Proof

Step	Hyp	Ref	Expression
1		3anrot	|- ( ( ph /\ ps /\ ch ) <-> ( ps /\ ch /\ ph ) )
2		df-3an	|- ( ( ps /\ ch /\ ph ) <-> ( ( ps /\ ch ) /\ ph ) )
3	1 2	bitri	|- ( ( ph /\ ps /\ ch ) <-> ( ( ps /\ ch ) /\ ph ) )