Draft — mutable and not usable as a dependency; its citation marks the draft state.

Proof of `The unoptimized empty-hexagon bound`

groundedproofs/Lax56Proofs/EmptyHexagon.lean · lax-56

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.

Read the Lean proof on GitHub

Description

The unoptimized Valtr argument, using the four-layer theorem interface so Lax records its dependency on the proof in Lax56Proofs.ValtrFourLayerLax56Proofs.ValtrFourLayer. The minimum-polygon argument, consecutive-layer inequality, Erdős–Szekeres bound, shear, and cyclic-order bridge are all proved; no SAT solver or native decision axiom is used.