eqs3lem

Theorem.

Arguments:

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

Assertions:

(existsx((xeqy)wedgephi)leftrightarrowlnotforallx((xeqy)tolnotphi))

Proof:

Hyp Ref Line Expr
alnan.ex1(forallx((xeqy)tolnotphi)leftrightarrowlnotexistsx((xeqy)wedgephi))
1conb>i2(existsx((xeqy)wedgephi)leftrightarrowlnotforallx((xeqy)tolnotphi))