bi.bldan>

Theorem.

Arguments:

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

Hypotheses:

(phileftrightarrowpsi)

Assertions:

((chiwedgephi)leftrightarrow(chiwedgepsi))

Proof:

Hyp Ref Line Expr
Hypo1(phileftrightarrowpsi)
1bi>2(phitopsi)
2im.bldan>3((chiwedgephi)to(chiwedgepsi))
1bi<4(psitophi)
4im.bldan>5((chiwedgepsi)to(chiwedgephi))
3, 5>bii6((chiwedgephi)leftrightarrow(chiwedgepsi))