public class JavaCError { 

public static class MyExBase extends Exception { 
private static final long serialVersionUID = 1L; 
} 

public static class MyEx1 extends MyExBase { 
private static final long serialVersionUID = 1L; 
} 

public static class MyEx2 extends MyExBase { 
private static final long serialVersionUID = 1L; 
} 

public interface MyLambdaIF1 <E extends Exception> { 
void lambdaFun() throws E, MyEx2;	// <<<< generic exception first 
} 

public interface MyLambdaIF2 <E extends Exception> { 
void lambdaFun() throws MyEx2, E;	// <<<< specific exception first 
} 

public <E extends Exception> void fun1(MyLambdaIF1<E> myLambda) throws E, MyEx2 { 
myLambda.lambdaFun(); 
} 

public <E extends Exception> void fun2(MyLambdaIF2<E> myLambda) throws E, MyEx2 { 
myLambda.lambdaFun(); 
} 

public void useIt1() throws MyEx1, MyEx2 { 
fun1(this::lambda);	// <<<< compile error 
} 

public void useIt1a() throws MyExBase { 
fun1(this::lambda);	// <<<< using base exception type instead helps 
} 

public void useIt2() throws MyEx1, MyEx2 { 
fun2(this::lambda);	// <<<< reversed order in throws clause helps 
} 

public void lambda() throws MyEx1, MyEx2 { 
if (Math.random() > 0.5) 
throw new MyEx2(); 
throw new MyEx1(); 
} 
}