No idea where you got those definitions.

An immigrant is one who arrives and moves into a place or country.

https://en.wiktionary.org/wiki/immigrate

An emigrant is one who leaves and moves out of a place.

https://en.wiktionary.org/wiki/emigrate

This distinction is very clear and has really never been a problem for people who understand language. The English Wikipedia has somehow managed to fuck it up beyond all recognition, so congratulations! You're one of Today's Lucky 10,000!