Concept:
A primary key uniquely identifies each record in a database table.
The Key Uniqueness rule ensures that no two records share the same primary key value.
Step 1: Recall database constraints.
• Key uniqueness $\rightarrow$ No duplicate primary keys.
• Referential integrity $\rightarrow$ Valid foreign key relationships.
• Domain integrity $\rightarrow$ Valid attribute values.
Step 2: Identify the correct rule.
Thus,
\[
\boxed{\text{Key uniqueness ensures every primary key is unique}.}
\]
Therefore, the correct option is
\[
\boxed{(C).}
\]