bitr

Theorem.

Arguments:

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

Hypotheses:

(psileftrightarrowchi)
(phileftrightarrowpsi)

Assertions:

(phileftrightarrowchi)

Proof:

Hyp Ref Line Expr
Hypo1(psileftrightarrowchi)
2(phileftrightarrowpsi)
2bi>3(phitopsi)
1bi>4(psitochi)
3, 4syl5(phitochi)
2bi<6(psitophi)
1bi<7(chitopsi)
6, 7syl8(chitophi)
5, 8>bii9(phileftrightarrowchi)