cannot reduce visibility of private methods

VisibilityTest.java

public class VisibilityTest {
    interface I {
        private void foo(int x) {}
        private void bar(int x) {}
    }

    interface J extends I {
        void foo(int x); // Valid: public abstract method with the same signature as a private method in super type is allowed.
        default void bar(int x) {} // Valid: public default method with the same signature as a private method in super type is allowed.
    }

    interface K extends J {
        private void foo(int x) {} // Invalid: attempting to assign weaker access privileges
        private void bar(int x) {} // Invalid: attempting to assign weaker access privileges
    }
}