Disjoint Variables
Abstract
Polynomials in disjoint variable sets have multiplicative product height.
Theorem 1.1 (Disjoint Variables).
Lean statement: D5/S3/Arith/DiophantineApproximation/DisjointVariables.mulHeight_rename_mul_rename_of_disjoint
Proof. Machine-checked in Lean as D5/S3/Arith/DiophantineApproximation/DisjointVariables.mulHeight_rename_mul_rename_of_disjoint (✓ std3). ∎
Citation. Ralf Stephan (2026). Subspace-Theorems. URL: https://github.com/rwst/Subspace-Theorems/tree/bfd830f481b296989fa5f0c1e48d9316f72270d8.
Commentary.
Polynomials in disjoint variable sets have multiplicative product height.