Counting Volume
Abstract
The volume of a cube-simplex intersection has an exponential upper bound.
Theorem 1.1 (Counting Volume).
Lean statement: D5/S3/Arith/DiophantineApproximation/CountingVolume.cubeSimplexVolume_le_exp_neg
Proof. Machine-checked in Lean as D5/S3/Arith/DiophantineApproximation/CountingVolume.cubeSimplexVolume_le_exp_neg (✓ std3). ∎
Citation. Ralf Stephan (2026). Subspace-Theorems. URL: https://github.com/rwst/Subspace-Theorems/tree/bfd830f481b296989fa5f0c1e48d9316f72270d8.
Commentary.
The volume of a cube-simplex intersection has an exponential upper bound.