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If there is another answered question here which addresses my question kindly point it out to me and I'll gladly delete this.
I am an American who is visiting the UK. I am scheduled to travel by bus to Dublin and then fly from Dublin to Athens in the Schengen zone. I gather most of the time there are no immigration checks when doing this by bus and hence ones entry may not be recorded.
I know that Americans do not need a visa to visit Republic of Ireland, however do I have to go to a border post to get my passport stamped? For example although Americans do not require a visa to travel to the UK, they need to go through immigration controls and be granted leave to enter. Is it the same for Ireland, or my leave to enter UK automatically equates leave to enter Ireland?
My exit from Ireland is by air so it will be captured so they will know I was there. Won't there be trouble at the airport when exit controls realize they do not have my proof of entry?