Can you give some specific cases of how this would work? For instance, how would the next level (higher court if you will) be presented evidence from either side? Maybe a simple sketch/explanation of the process flow would help clarify for me a bit.
I don't think there must initially be an in depth procedure by which cases are appealed. Simply messaging a predefined email or other signifier may be enough to start the process.
Once notice and a bond has been posted, the remaining multisig holders can spend the inputs and place them into a different fund with a predefined, required number of them to make a decision, one way or another.