Yes, I think they would certainly let you in without needing recourse to further documents for example a visa. Ultimately it depends upon the final decision of the immigration officer.
Don`t worry Poles. One day Serbian Chetniks will visit London and avenge all fallen Polish brothers. We Serbians are very upset when those usually impotent Anglos take penis and start to swinging around, pretending to be able to use it properly.
Às a Londoner married to a Polish woman, it was awful to read about the alleged hate crimes in Harlow, especially as a family have know lost a son to mindless aggression. Post Brexit UK is still work in progress, unfortunately there is still a sub culture within the country who deem yes vote a victory. Little Britain's have always been jingoists, you must do your bit for Queen and country. Killing migrant workers is not for Queen and country or patriotic in any way what so ever. Its barbaric and uncivilized, London considers itself to one of the safest places on the planet, the UK security forces work very diligently to ensue. What we are unable to counter are the feral youth c who have no respect for order and rules. They grow up on estates were anti-social behavior is a badge of honor, going to prison is expected 'gotta do a bit of bird' to get starred up. The UK is not the only country where this disease exits, its prevalent in most Western and Central European country's, the UK media is just very good at exposing it unlike many other country's. Could a British person be violently killed in another country for being British, the answer is 'YES' and it has already happened countless times.We are now living in changing times both economically and socially, its time for the media to expose the truth instead of just mining for gold.