Cross Referencing Table Value for Another Value to allow Insert - sql

Question

How do I look at one table and use it to check another table for data integrity?
I have two SQL Tables.
One that is a person table
CREATE TABLE PERSON
(
ID INT IDENTITY(10000,1) NOT NULL,
Firstname VARCHAR(15),
Lastname VARCHAR(25) NOT NULL,
Birthdate DATE,
Gender VARCHAR(1),
CHECK ( GENDER IN ('M', 'F')),
Street VARCHAR(50),
City VARCHAR(15),
State VARCHAR(2),
CHECK (State IN ('FL','GA','PA')),
Zip INT,
Phone VARCHAR(10),
Employee VARCHAR(1),
CHECK ( Employee IN('Y','N')),
Member VARCHAR(1),
CHECK ( Member IN('Y','N')),
CHECK (Member IN ('Y') or Employee IN ('Y')),
CONSTRAINT PERSON_PK PRIMARY KEY (ID));
And Employee Table
CREATE TABLE EMPLOYEE
(
ID INT NOT NULL,
Datehired DATE DEFAULT GETDATE(),
Status VARCHAR(1),
CHECK ( Status IN ('F','C')),
Position VARCHAR(25),
EmpType VARCHAR(25),
CONSTRAINT EMPLOYEE_PK PRIMARY KEY (ID),
CONSTRAINT EMPLOYEE_PERSON_FK FOREIGN KEY (ID) REFERENCES PERSON);
Let's say someone isn't an employee. I can still insert them into the Employee Table.
INSERT INTO EMPLOYEE
(ID, Status, Position, EmpType)
VALUES
('10000','C','Teaching Classes','Instructor');
How Do I prevent this from happening.

Answer 1

One method is to have a redundant key:
alter table person
contraint unq_person_id_employee
unique (id, employee);
Then add a computed column to employee:
alter table employee add employee as ('Y') persisted;
Finally, add the constraint:
alter table employee
add constraint fk_employee_person
foreign key (id, employee) references person(id, employee);
Now, you are guaranteed that only employees are in the Employee table.