Not math: in the planned FOCIL upgrade, one honest committee member out of 16 is enough to stop censorship.
Why it matters: Makes it much harder to keep transactions out of blocks.
On the map: out of 16 per slot: FOCIL's censorship resistance (not cryptographic)
Not a cryptographic assumption. With FOCIL, 16 validators per slot each publish a list of pending transactions that the next block must include, and other validators enforce it through fork choice[1].
Censorship resistance needs only one of the 16 to be honest: a single honest list forces the transactions in.
If any of these breaks, this breaks too.
If this breaks, these break with it.