Metamath Proof Explorer


Theorem bnj705

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

Ref Expression
Hypothesis bnj705.1
|- ( ph -> ta )
Assertion bnj705
|- ( ( ph /\ ps /\ ch /\ th ) -> ta )

Proof

Step Hyp Ref Expression
1 bnj705.1
 |-  ( ph -> ta )
2 bnj642
 |-  ( ( ph /\ ps /\ ch /\ th ) -> ph )
3 2 1 syl
 |-  ( ( ph /\ ps /\ ch /\ th ) -> ta )