Metamath Proof Explorer

Theorem bnj835

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

Ref Expression
Hypotheses bnj835.1 
|- ( et <-> ( ph /\ ps /\ ch ) )
bnj835.2 
|- ( ph -> ta )
Assertion bnj835 
|- ( et -> ta )

Proof

Step Hyp Ref Expression
1 bnj835.1 
 |-  ( et <-> ( ph /\ ps /\ ch ) )
2 bnj835.2 
 |-  ( ph -> ta )
3 2 3ad2ant1 
 |-  ( ( ph /\ ps /\ ch ) -> ta )
4 1 3 sylbi 
 |-  ( et -> ta )