bi.bldan<>d

Theorem.

Arguments:

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

Hypotheses:

(phito(thetaleftrightarrowtau))
(phito(psileftrightarrowchi))

Assertions:

(phito((psiwedgetheta)leftrightarrow(chiwedgetau)))

Proof:

Hyp Ref Line Expr
Hypo1(phito(thetaleftrightarrowtau))
2(phito(psileftrightarrowchi))
2bi.bldan<d3(phito((psiwedgetheta)leftrightarrow(chiwedgetheta)))
1bi.bldan>d4(phito((chiwedgetheta)leftrightarrow(chiwedgetau)))
3, 4bitrd5(phito((psiwedgetheta)leftrightarrow(chiwedgetau)))