Theorem 3anan32

Description: Convert triple conjunction to conjunction, then commute. (Contributed by Jonathan Ben-Naim, 3-Jun-2011) (Shortened by Garrett Katz, 15-Jun-2026.)

	Ref	Expression
Assertion	3anan32	|- ( ( ph /\ ps /\ ch ) <-> ( ( ph /\ ch ) /\ ps ) )

Proof

Step	Hyp	Ref	Expression
1		3anan12	|- ( ( ph /\ ps /\ ch ) <-> ( ps /\ ( ph /\ ch ) ) )
2	1	biancomi	|- ( ( ph /\ ps /\ ch ) <-> ( ( ph /\ ch ) /\ ps ) )