Do I need to mail in a W-2c?

I received my W2 and several weeks later my employer sent me a W-2c in the mail.

 

When I go into TurboTax, it downloaded my W2 from ADP Payroll.

Next, I edited the W2 info that was downloaded by adjusting the numbers to match what was on the W-2c. (the changes were only in regard to healthcare amounts).

 

Is that all I need to do and then efile and be done, or am I supposed to be mailing a paper copy of the W2 and/or W-2c to the IRS?