an12ass

Theorem.

Arguments:

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

Assertions:

((phiwedge(psiwedgechi))leftrightarrow(psiwedge(phiwedgechi)))

Proof:

Hyp Ref Line Expr
ancom1((phiwedgepsi)leftrightarrow(psiwedgephi))
1bi.bldan<2(((phiwedgepsi)wedgechi)leftrightarrow((psiwedgephi)wedgechi))
anass3(((phiwedgepsi)wedgechi)leftrightarrow(phiwedge(psiwedgechi)))
anass4(((psiwedgephi)wedgechi)leftrightarrow(psiwedge(phiwedgechi)))
2, 3, 4>2bitr5((phiwedge(psiwedgechi))leftrightarrow(psiwedge(phiwedgechi)))