Essentially, in the case we of somebody cheating you, they would broadcast a transaction co-signed by you that would close the channel in their favor. This woul

Essentially, in the case we of somebody cheating you, they would broadcast a transaction co-signed by you that would close the channel in their favor. This wouldn’t be effective immediately but would have a time component associated from when the channel was opened. To prevent this state from closing out this way, you would be able to broadcast the proof of the actual offchain ledger balance (with the valid signatures for all transactions) and the co-signed transaction to close the channel. For all of this proof, you would also get to take the cheaters money, further disincentivisimg this behavior. However, if the time ran out before you noticed, none of you proof and signed offchain transactions would matter.