Theorem bnj832

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

	Ref	Expression
Hypotheses	bnj832.1	|- ( et <-> ( ph /\ ps ) )
	bnj832.2	|- ( ph -> ta )
Assertion	bnj832	|- ( et -> ta )

Proof

Step	Hyp	Ref	Expression
1		bnj832.1	|- ( et <-> ( ph /\ ps ) )
2		bnj832.2	|- ( ph -> ta )
3	2	adantr	|- ( ( ph /\ ps ) -> ta )
4	1 3	sylbi	|- ( et -> ta )