Theorem bnj771

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

	Ref	Expression
Hypotheses	bnj771.1	|- ( et <-> ( ph /\ ps /\ ch /\ th ) )
	bnj771.2	|- ( ch -> ta )
Assertion	bnj771	|- ( et -> ta )

Proof

Step	Hyp	Ref	Expression
1		bnj771.1	|- ( et <-> ( ph /\ ps /\ ch /\ th ) )
2		bnj771.2	|- ( ch -> ta )
3	2	bnj707	|- ( ( ph /\ ps /\ ch /\ th ) -> ta )
4	1 3	sylbi	|- ( et -> ta )