Theorem bnj770

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

	Ref	Expression
Hypotheses	bnj770.1	|- ( et <-> ( ph /\ ps /\ ch /\ th ) )
	bnj770.2	|- ( ps -> ta )
Assertion	bnj770	|- ( et -> ta )

Proof

Step	Hyp	Ref	Expression
1		bnj770.1	|- ( et <-> ( ph /\ ps /\ ch /\ th ) )
2		bnj770.2	|- ( ps -> ta )
3	2	bnj706	|- ( ( ph /\ ps /\ ch /\ th ) -> ta )
4	1 3	sylbi	|- ( et -> ta )