Theorem bnj1254

Description: First-order logic and set theory. (Contributed by Jonathan Ben-Naim, 3-Jun-2011) (New usage is discouraged.)

	Ref	Expression
Hypothesis	bnj1254.1	|- ( ph <-> ( ps /\ ch /\ th /\ ta ) )
Assertion	bnj1254	|- ( ph -> ta )

Proof

Step	Hyp	Ref	Expression
1		bnj1254.1	|- ( ph <-> ( ps /\ ch /\ th /\ ta ) )
2		id	|- ( ta -> ta )
3	2	bnj708	|- ( ( ps /\ ch /\ th /\ ta ) -> ta )
4	1 3	sylbi	|- ( ph -> ta )