A more thorough explanation:

The Federal-Comity Doctrine is a principle that requires federal district courts to avoid interfering in each other's affairs. This means that if a case is already being heard in one federal district court, another court should not intervene or take over the case.

For example, if a case involving a dispute between two parties is already being heard in a federal district court in New York, another federal district court in California should not take over the case or interfere with the proceedings. This is because the federal-comity doctrine requires courts to respect each other's jurisdiction and avoid unnecessary conflicts.

Another example could be a case involving a federal agency that is being heard in a federal district court in Washington D.C. If another federal district court in Texas receives a similar case, it should not interfere with the proceedings in Washington D.C. and should instead allow the court to handle the case.

The federal-comity doctrine is important because it helps to maintain order and consistency in the federal court system. By respecting each other's jurisdiction, federal district courts can avoid unnecessary conflicts and ensure that cases are handled efficiently and fairly.