4anass2

Theorem.

Arguments:

phi (pr), psi (pr), chi (pr), theta (pr),

Assertions:

(((phiwedgepsi)wedge(chiwedgetheta))leftrightarrow((phiwedgechi)wedge(thetawedgepsi)))

Proof:

Hyp Ref Line Expr
4anass1(((phiwedgepsi)wedge(chiwedgetheta))leftrightarrow((phiwedgechi)wedge(psiwedgetheta)))
ancom2((psiwedgetheta)leftrightarrow(thetawedgepsi))
2bi.bldan>3(((phiwedgechi)wedge(psiwedgetheta))leftrightarrow((phiwedgechi)wedge(thetawedgepsi)))
1, 3bitr4(((phiwedgepsi)wedge(chiwedgetheta))leftrightarrow((phiwedgechi)wedge(thetawedgepsi)))