Lax Lean Archive

Proof of `Refining a partition increases the flip metric` (2nd statement)

groundedproofs/Lax185574Proofs/FlipMetricMonotone.lean · lax-185574

What this proof establishes

no assumptions

obs✓Lax185574.FlipMetricMonotone (2nd 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

In the paper

  • page 27 of this submission's paper

Description

Each part of 𝒬𝒬 lies in a part of 𝒫𝒫, so the choice between agreeing and disagreeing made for a pair of 𝒫𝒫-parts also serves the pair of 𝒬𝒬-parts inside it.