Samplinglib
Lean gate passed 2026-08-19T06:04:36.257124+00:00 · 77184245109a
6.ex · Book p. 185 · PDF p. 197

Exercises

The exercises test the chapter's definitions, proof calculations, edge cases, and extensions without changing the chapter's formalization status.

Open this section in the canonical August 9 source ↗

Place in the proof route

The chapter uses this material in the route toward LMC admits a Rényi-divergence analysis through interpolation. The declaration-level source map is intentionally left inside the formalization layer until exact theorem anchors have been audited.

Why is this valid?

Chapter-level validity conditions

  • The interpolated chain must be adapted and have the same diffusion coefficient as the comparison process.
  • Moment estimates must be established before integrating local drift error.
  • Step-size restrictions and all dimension/condition-number constants must be retained.
View Lean formalization

No declaration-level mapping has been accepted for this section. This is a route status, not a failed Lean declaration.