Proof of `Refining a partition increases the flip metric` (1st statement)

groundedproofs/Lax185574Proofs/FlipMetricMonotone.lean · lax-185574

What this proof establishes

no assumptions

obs✓Lax185574.FlipMetricMonotone (1st 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

Every $𝒫$ -flip is a $𝒬$ -flip, so a bound on the distance in all $𝒬$ -flips is in particular a bound in all $𝒫$ -flips.