ax17eq

Theorem.

Arguments:

x (sv), y (sv), z (sv),

Distinct variable conditions:

(x, z), (y, z),

Assertions:

(z bound in (xeqy))

Proof:

Hyp Ref Line Expr
ax121(lnotforallz(zeqx)to(lnotforallz(zeqy)to((xeqy)toforallz(xeqy))))
ax162(forallz(zeqx)to((xeqy)toforallz(xeqy)))
ax163(forallz(zeqy)to((xeqy)toforallz(xeqy)))
1, 2, 3caseii4((xeqy)toforallz(xeqy))
4df-Bvp5(z bound in (xeqy))