Theorem bnj769

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

	Ref	Expression
Hypotheses	bnj769.1	|- ( et <-> ( ph /\ ps /\ ch /\ th ) )
	bnj769.2	|- ( ph -> ta )
Assertion	bnj769	|- ( et -> ta )

Proof

Step	Hyp	Ref	Expression
1		bnj769.1	|- ( et <-> ( ph /\ ps /\ ch /\ th ) )
2		bnj769.2	|- ( ph -> ta )
3	2	bnj705	|- ( ( ph /\ ps /\ ch /\ th ) -> ta )
4	1 3	sylbi	|- ( et -> ta )