bexim>

Theorem.

Arguments:

x (sv), phi (pr), psi (pr),

Hypotheses:

(x bound in psi)

Assertions:

(existsx(phitopsi)leftrightarrow(forallxphitopsi))

Proof:

Hyp Ref Line Expr
Hypo1(x bound in psi)
bexim2(existsx(phitopsi)leftrightarrow(forallxphitoexistsxpsi))
1fv.eqex3(psileftrightarrowexistsxpsi)
3bi.bldim>4((forallxphitopsi)leftrightarrow(forallxphitoexistsxpsi))
2, 4><bitr5(existsx(phitopsi)leftrightarrow(forallxphitopsi))