df-sb

Definition. Proper Substitution.

Description:

This definition (sb7 in set.mm) is adopted instead of Metamath's because it works for any set term y.

Arguments:

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

Distinct variable conditions:

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

Assertions:

([y/x]phileftrightarrowexistsz((zeqy)wedgeexistsx((xeqz)wedgephi)))