Metamath Proof Explorer


Theorem bnj422

Description: /\ -manipulation. (Contributed by Jonathan Ben-Naim, 3-Jun-2011) (Proof shortened by Andrew Salmon, 14-Jun-2011) (New usage is discouraged.)

Ref Expression
Assertion bnj422
|- ( ( ph /\ ps /\ ch /\ th ) <-> ( ch /\ th /\ ph /\ ps ) )

Proof

Step Hyp Ref Expression
1 bnj345
 |-  ( ( ph /\ ps /\ ch /\ th ) <-> ( th /\ ph /\ ps /\ ch ) )
2 bnj345
 |-  ( ( th /\ ph /\ ps /\ ch ) <-> ( ch /\ th /\ ph /\ ps ) )
3 1 2 bitri
 |-  ( ( ph /\ ps /\ ch /\ th ) <-> ( ch /\ th /\ ph /\ ps ) )