Mixed Ball
Abstract
The squared norm in the mixed space splits into real and complex place components.
Theorem 1.1 (Mixed Ball).
Lean statement: D5/S3/Arith/AbsoluteValues/Heights/MixedBall.norm_sq_mixedPi
Proof. Machine-checked in Lean as D5/S3/Arith/AbsoluteValues/Heights/MixedBall.norm_sq_mixedPi (✓ std3). ∎
Citation. Ralf Stephan (2026). Subspace-Theorems. URL: https://github.com/rwst/Subspace-Theorems/tree/bfd830f481b296989fa5f0c1e48d9316f72270d8.
Commentary.
The squared norm in the mixed space splits into real and complex place components.
References
- Truth anchor:
D5/S3/Arith/AbsoluteValues/Heights/MixedBall.norm_sq_mixedPi - Dependency: D5/S3/Arith/AbsoluteValues/Heights/CubeSlicing
- Dependency: D5/S3/Arith/AbsoluteValues/Heights/NumberFieldLattice