Covid - Are Mandates Lockdowns?

I have noticed recently that my mind is having a bit of a problem differentiating between Covid vaccine mandates and Covid lockdowns.

Vaccine mandates are Covid lockdowns for the unvaccinated and under vaccinated.

The White House recently claimed that the Biden administration is not encouraging lockdowns but at the same time they are insisting on vaccine mandates.

So how is it that telling people they can't go to work or they can't go to school or they can't cross a border because they don't satisfy some mandate not a lockdown?

Anyone?