Hadamard

Abstract

A complex Pluecker row norm is bounded by a product of row norms.

Theorem 1.1 (Hadamard).

Lean statement: D5/S3/Arith/AbsoluteValues/Heights/Hadamard.sum_sq_norm_plucker_row_le_prod

Proof. Machine-checked in Lean as D5/S3/Arith/AbsoluteValues/Heights/Hadamard.sum_sq_norm_plucker_row_le_prod (✓ std3). ∎

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

Commentary.

A complex Pluecker row norm is bounded by a product of row norms.

References

• Truth anchor: D5/S3/Arith/AbsoluteValues/Heights/Hadamard.sum_sq_norm_plucker_row_le_prod
• Dependency: D5/S3/Arith/AbsoluteValues/Heights/Duality