Yes, that right. This is an example of deductive reasoning.

• Rule: All persons under the age of 18 have limited legal capacity
• Facts: Paul is 17 years old.
• Conclusion: Therefore Paul has limited legal capacity.

Deductive logic is a process of reasoning from generalised statements (premises) towards a specific conclusion. 

In the example, the first statement is a general rule.  The second statement represents the facts of a specific case.  The third statement is the conclusion reached by applying the rue to the facts.