exan<

Theorem.

Arguments:

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

Hypotheses:

(x bound in phi)

Assertions:

(existsx(phiwedgepsi)leftrightarrow(phiwedgeexistsxpsi))

Proof:

Hyp Ref Line Expr
Hypo1(x bound in phi)
1exan>2(existsx(psiwedgephi)leftrightarrow(existsxpsiwedgephi))
ancom3((phiwedgepsi)leftrightarrow(psiwedgephi))
3eqt-∃-i4(existsx(phiwedgepsi)leftrightarrowexistsx(psiwedgephi))
ancom5((phiwedgeexistsxpsi)leftrightarrow(existsxpsiwedgephi))
2, 4, 5<2bitr6(existsx(phiwedgepsi)leftrightarrow(phiwedgeexistsxpsi))