There is a quote from a TV series, which seems to contain (at least) two rhetoric instruments.
Michael Scott: Toby is in HR, which technically means he works for corporate. So he's really not a part of our family. Also, he's divorced, so he's really not a part of his family.1
The first technique establishes a slightly wrong premiss and creates further arguments/statements based on the premiss.
Toby is in HR =/=> Toby works for corporate == Not part of familiy,
=/=> being a wrong implication.
Here, I am assuming that HR is, in fact, a part of Michael's department.
The second one is a recurring structure
X ==> not part of a family, also the recurring topic 'family'.
Question How are those rhetoric techniques (or types of fallacies) called? How do they work?
1: The Office, S02E02, also video snippet is available on youtube.