Minkowski Second
Abstract
Minkowski’s second theorem bounds the product of successive minima times convex-body volume.
Theorem 1.1 (Minkowski Second).
Lean statement: D5/S3/Arith/AbsoluteValues/Heights/MinkowskiSecond.prod_successiveMinimum_mul_measure_le
Proof. Machine-checked in Lean as D5/S3/Arith/AbsoluteValues/Heights/MinkowskiSecond.prod_successiveMinimum_mul_measure_le (✓ std3). ∎
Citation. Ralf Stephan (2026). Subspace-Theorems. URL: https://github.com/rwst/Subspace-Theorems/tree/bfd830f481b296989fa5f0c1e48d9316f72270d8.
Commentary.
Minkowski’s second theorem bounds the product of successive minima times convex-body volume.
References
- Truth anchor:
D5/S3/Arith/AbsoluteValues/Heights/MinkowskiSecond.prod_successiveMinimum_mul_measure_le - Dependency: D5/S3/Arith/AbsoluteValues/Heights/QuotientFubini
- Dependency: D5/S3/Arith/AbsoluteValues/Heights/SuccessiveMinima