bi.bldim<d

Theorem.

Arguments:

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

Hypotheses:

(phito(psileftrightarrowchi))

Assertions:

(phito((psitotheta)leftrightarrow(chitotheta)))

Proof:

Hyp Ref Line Expr
Hypo1(phito(psileftrightarrowchi))
1bi.bldnegd2(phito(lnotpsileftrightarrowlnotchi))
2bi.bldim>d3(phito((lnotthetatolnotpsi)leftrightarrow(lnotthetatolnotchi)))
bcon4((psitotheta)leftrightarrow(lnotthetatolnotpsi))
bcon5((chitotheta)leftrightarrow(lnotthetatolnotchi))
3, 4, 5<2bitrg6(phito((psitotheta)leftrightarrow(chitotheta)))