Proof of `A good coupled sample with bounded total route size` (2nd statement)
groundedproofs/Lax263307Proofs/CoupledSamplingBounds.lean · lax-263307
What this proof establishes
Assuming the claims on the left, the claim on the right holds — checked by the archive's pipeline. Proof code is not displayed here.
Description
Reindex the finite coupled outcome space by Fin and apply the proved good-outcome lemma to the bad interaction event and total route size. The probability and length estimates provide its two bounds.