Tracking original date on rolled RothIRA

I was still employed when I opened and started contributing to a roth IRA in 2011. When I retired in 2016 I rolled it over to similar product in Fidelity. I'm assuming this satisfies the 5-year age requirement for owning a roth ira so if I liquidate it anytime after today I will not be liable for paying tax on it.  am I right in my assumption? how is the original date kept track of from one institution to another?