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Roth Decomposition

Abstract

A Hasse derivative matrix determinant factors through the Roth decomposition.

Theorem 1.1 (Roth Decomposition).

Lean statement: D5/S3/Arith/DiophantineApproximation/RothDecomposition.det_hasseDerivMatrix

Proof. Machine-checked in Lean as D5/S3/Arith/DiophantineApproximation/RothDecomposition.det_hasseDerivMatrix (✓ std3). ∎

Citation. Ralf Stephan (2026). Subspace-Theorems. URL: https://github.com/rwst/Subspace-Theorems/tree/bfd830f481b296989fa5f0c1e48d9316f72270d8.

Commentary.

A Hasse derivative matrix determinant factors through the Roth decomposition.

References