Samplinglib
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3.ex · Book p. 116 · PDF p. 128

Exercises

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

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Formal topologyOpen this section in the underlying Lean graph

Place in the proof route

The chapter uses this material in the route toward Brownian quadratic variation produces the correction in Itô calculus. 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

  • Quadratic-variation limits require an explicit convergence mode and partition scheme.
  • A stochastic exponential needs measurability and integrability conditions before it defines a change of law.
  • Finite-dimensional cylinder identities are not automatically path-space Girsanov theorems.
View Lean formalization

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