an.andi>

Theorem.

Arguments:

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

Assertions:

(((phiwedgepsi)wedgechi)leftrightarrow((phiwedgechi)wedge(psiwedgechi)))

Proof:

Hyp Ref Line Expr
anidm1((chiwedgechi)leftrightarrowchi)
1bicomi2(chileftrightarrow(chiwedgechi))
2bi.bldan>3(((phiwedgepsi)wedgechi)leftrightarrow((phiwedgepsi)wedge(chiwedgechi)))
4anass4(((phiwedgepsi)wedge(chiwedgechi))leftrightarrow((phiwedgechi)wedge(psiwedgechi)))
3, 4bitr5(((phiwedgepsi)wedgechi)leftrightarrow((phiwedgechi)wedge(psiwedgechi)))