through with vs done with

through with and done with both are adjectives.

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

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

through with (adjective)	done with (adjective)
having no further concern with	having no further concern with
having finished or arrived at completion