Metamath Proof Explorer


Theorem bnj708

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

Ref Expression
Hypothesis bnj708.1
|- ( th -> ta )
Assertion bnj708
|- ( ( ph /\ ps /\ ch /\ th ) -> ta )

Proof

Step Hyp Ref Expression
1 bnj708.1
 |-  ( th -> ta )
2 bnj645
 |-  ( ( ph /\ ps /\ ch /\ th ) -> th )
3 2 1 syl
 |-  ( ( ph /\ ps /\ ch /\ th ) -> ta )