exan>vv

Theorem.

Arguments:

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

Distinct variable conditions:

(x, psi), (y, psi),

Assertions:

(existsxexistsy(phiwedgepsi)leftrightarrow(existsxexistsyphiwedgepsi))

Proof:

Hyp Ref Line Expr
exan>1(existsy(phiwedgepsi)leftrightarrow(existsyphiwedgepsi))
1eqt-∃-i2(existsxexistsy(phiwedgepsi)leftrightarrowexistsx(existsyphiwedgepsi))
exan>3(existsx(existsyphiwedgepsi)leftrightarrow(existsxexistsyphiwedgepsi))
2, 3bitr4(existsxexistsy(phiwedgepsi)leftrightarrow(existsxexistsyphiwedgepsi))