Liskov substitution principle - no overriding/virtual methods?

Question

My understanding of the Liskov substitution principle is that some property of the base class that is true or some implemented behaviour of the base class, should be true fo

Answer 1

No, it tells that you should be able to use derived class in the same way as its base. There're many ways you can override a method without breaking this. A simple example, GetHashCode() in C# is in base for ALL classes, and still ALL of them can be used as "object" to calculate the hash code. A classic example of breaking the rule, as far as I remember, is derivin Square from Rectangle, since Square can't have both Width and Height - because setting one would change another and thus it's no more conforms to Rectangle rules. You can, however, still have base Shape with .GetSize() since ALL shapes can do this - and thus any derived shape can be substituted and used as Shape.