Mv Polynomial Eval Bound
Abstract
A polynomial evaluation admits a controlled local bound after subtraction.
Theorem 1.1 (Mv Polynomial Eval Bound).
Lean statement: D5/S3/Arith/DiophantineApproximation/MvPolynomialEvalBound.exists_apply_eval_le_of_sub
Proof. Machine-checked in Lean as D5/S3/Arith/DiophantineApproximation/MvPolynomialEvalBound.exists_apply_eval_le_of_sub (✓ std3). ∎
Citation. Ralf Stephan (2026). Subspace-Theorems. URL: https://github.com/rwst/Subspace-Theorems/tree/bfd830f481b296989fa5f0c1e48d9316f72270d8.
Commentary.
A polynomial evaluation admits a controlled local bound after subtraction.