done vs through with

done and through with both are adjectives.

Word	Noun	Adjective	Verb	Adverb
done	No	Yes	No	No
through with	No	Yes	No	No

As adjectives, done and through with are synonyms defined as:

Other synonyms of done include through.

done (adjective)	through with (adjective)
cooked until ready to serve	having no further concern with
having finished or arrived at completion	having finished or arrived at completion