Java 9のインターフェースにプライベートメソッドまたはプライベート静的メソッドを含めることはできますか？

interface <interface-name> {
   private static void methodName() {
      // some statements
   }
   private void methodName() {
      // some statements
   }
}

例

interface Java9Interface {
   public abstract void method1();
   public default void method2() {
      method4();
      method5();
      System.out.println("Inside default method");
   }
   public static void method3() {
      method5();    //  static method inside other static method
      System.out.println("Inside static method");
   }
   private void method4() {    // private method
      System.out.println("Inside private method");
   }
   private static void method5() {    // private static method
      System.out.println("Inside private static method");
   }
}
public class PrivateStaticMethodTest implements Java9Interface {
   @Override
   public void method1() {
       System.out.println("Inside abstract method");
   }
   public static void main(String args[]) {
      Java9Interface instance = new PrivateStaticMethodTest();
      instance.method1();
      instance.method2();
      Java9Interface.method3();
   }
}

出力

Inside abstract method
Inside private method
Inside private static method
Inside default method
Inside private static method
Inside static method