To immigrate or to emigrate, that is the question

What would Hamlet be doing if he was about to leave Denmark to move to Sweden?

From: www.dictionary.com

em·i·grate

 

verb (used without object), -grat·ed, -grat·ing.

to leave one country or region to settle in another; 

migrate: toemigrate from Ireland to Australia.

im·mi·grate

  verb, -grat·ed, -grat·ing.

verb (used without object)

1.

to come to a country of which one is not a native, usuallyfor permanent residence.