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structure definition def or abbrev

ConstrainedProblem

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formal statement (Lean)

  46structure ConstrainedProblem where
  47  /-- The constraint set (e.g., log-sum = constant) -/
  48  feasible : Set ℝ
  49  /-- Feasible set is nonempty -/
  50  nonempty : feasible.Nonempty
  51  /-- All feasible points are positive -/
  52  positive : ∀ x ∈ feasible, 0 < x
  53
  54/-- **Theorem (Determinism core)**: For any constrained minimization of J-cost
  55    over a convex set of positive reals, the minimizer is unique.
  56
  57    This means the next ledger state is uniquely determined by the current
  58    state plus the constraint. There is no "choice" — the dynamics are
  59    deterministic. -/

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