If I have a table in Postgresql:
create table Education ( 
    id                  integer references Profiles(id),
    finished            YearValue not nul         
        You can also use a trigger on update and insert to check that a rule is followed before allowing the data into the table. You would normally use this type of approach when the check constraint needs more complicated logic.
You can use a check constraint e.g.
constraint chk_education check (schoolName is not null or studiedAt is not null)
From the manual:
A check constraint is the most generic constraint type. It allows you to specify that the value in a certain column must satisfy a Boolean (truth-value) expression.
Edit: Alternative to comply with Pithyless' interpretation:
constraint chk_education check ((schoolName is not null and studiedAt is null) or (schoolName is null and studiedAt is not null))