In Scotland you can apply for proof of your Covid vaccination either online or by phoning the COVID-19 Status Helpline on 0808 196 8565.
The vaccination letter can be used to confirm you have received your vaccine and should arrive within 14 days.
Whether you plan to travel or not, it is likely proof of vaccine will become increasingly asked for as international travel opens up further.
Application andguidance on travel requirements in this link. https://www.nhsinform.scot/covid-19-vaccine/after-your-vaccine/get-a-record-of-your-coronavirus-covid-19-vaccination-status