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Metamath Proof Explorer


Theorem bnj667

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

Ref Expression
Assertion bnj667
|- ( ( ph /\ ps /\ ch /\ th ) -> ( ps /\ ch /\ th ) )

Proof

Step Hyp Ref Expression
1 bnj446
 |-  ( ( ph /\ ps /\ ch /\ th ) <-> ( ( ps /\ ch /\ th ) /\ ph ) )
2 1 simplbi
 |-  ( ( ph /\ ps /\ ch /\ th ) -> ( ps /\ ch /\ th ) )