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Mathematics, with machine-checked proofs.

The Kernel Deficit Dominates Twice the Hull Deficit: A Sharp Strengthening of Nakano's Inequality

Preprint

Dakota Charles Baker  ·  25 August 2026  ·  arXiv:2608.25057  ·  math.MG

A sharp factor-of-two strengthening of Nakano's inequality, relating the area a polygon loses to its visibility kernel against the area missing from its convex hull. Both main theorems carry machine-checked Lean 4 proofs.

[ arXiv → ] [ Lean formalization → ]