Product Of Balls

Abstract

A product of Euclidean balls satisfies a slice bound.

Theorem 1.1 (Product Of Balls).

Lean statement: D5/S3/Arith/AbsoluteValues/Heights/ProductOfBalls.hasSliceBound_prodBall

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

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

Commentary.

A product of Euclidean balls satisfies a slice bound.

References

• Truth anchor: D5/S3/Arith/AbsoluteValues/Heights/ProductOfBalls.hasSliceBound_prodBall
• Dependency: D5/S3/Arith/AbsoluteValues/Heights/SliceBound