Definitions of law of succession
the laws regulating the appointment of a new monarch or head of state, especially following the death of the former monarch or head of state; laws regulating the passing of hereditary titles following someone's death
Following a change in Britain's law of succession, a first-born girl can now take the throne even if a son is born later.
the laws that regulate how someone's property is shared out after they die
The current law of succession stipulates that property shall be inherited in this order: spouse, children, parents.