Lax Lean Archive

While this submission is a draft, it cannot be used by other submissions.

Proof of `A good coupled sample with bounded total route size` (3rd statement)

groundedproofs/Lax263307Proofs/CoupledSamplingBounds.lean · lax-263307

What this proof establishes

thm✓Lax263307.CoupledSamplingBounds (3rd statement)

Assuming the claims on the left, the claim on the right holds — checked by the archive's pipeline. Proof code is not displayed here.

Read the Lean proof on GitHub

Description

Interchange the sums over outcomes and source edges, then use each edge route’s marginal law to compute its expected size.