bi.bldan>d

Theorem.

Arguments:

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

Hypotheses:

(phito(psileftrightarrowchi))

Assertions:

(phito((thetawedgepsi)leftrightarrow(thetawedgechi)))

Proof:

Hyp Ref Line Expr
Hypo1(phito(psileftrightarrowchi))
1bi>2(phito(psitochi))
2im.bldan>d3(phito((thetawedgepsi)to(thetawedgechi)))
1bi<4(phito(chitopsi))
4im.bldan>d5(phito((thetawedgechi)to(thetawedgepsi)))
3, 5>bid6(phito((thetawedgepsi)leftrightarrow(thetawedgechi)))