bi.bldbi<d

Theorem.

Arguments:

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

Hypotheses:

(phito(psileftrightarrowchi))

Assertions:

(phito((psileftrightarrowtheta)leftrightarrow(chileftrightarrowtheta)))

Proof:

Hyp Ref Line Expr
Hypo1(phito(psileftrightarrowchi))
1bi.bldbi>d2(phito((thetaleftrightarrowpsi)leftrightarrow(thetaleftrightarrowchi)))
bicom3((psileftrightarrowtheta)leftrightarrow(thetaleftrightarrowpsi))
bicom4((chileftrightarrowtheta)leftrightarrow(thetaleftrightarrowchi))
2, 3, 4<2bitrg5(phito((psileftrightarrowtheta)leftrightarrow(chileftrightarrowtheta)))