A question about Lightning Network

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Assume this LN transaction:

A -> B -> C -> D

For this example, let's assume sufficient outbound liquidity in the A > B channel and the C > D channel, but all the tokens in the B > C channel are already all on C's side so B has no outbound liquidity.

Since nobody knows the state of the B > C channel except B & C, what cryptographic proof prevents B & C from agreeing to accept and route the transaction anyway? Can't they agree to just "put it on B's tab" and settle up some other way?

submitted by /u/jessquit
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source https://www.reddit.com/r/btc/comments/bkj4fq/a_question_about_lightning_network/

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