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Proved here · machine-checked
Finite D exchange stability implies strict self-consistent Voronoi
D-EXCHANGE-IMPLIES-VORONOI
Under the theorem’s hypotheses, exact exchange stability forces strict self-consistent nearest-centre geometry.
Rests on
Enables
- Exact finite inductive closure / compiler
- Every finite global D optimum is geometrically realizable
- Characterize criteria with finite exchange => first-order geometry
- Consistency of exchange-stable D solutions
Raises
- Characterize criteria with finite exchange => first-order geometry
- Consistency of exchange-stable D solutions
Where it stops
Verified by
Graph notation
Established Derived from the literature Proved here Proved here, no precedent found Measured Counterexample Open machine-checked counterexample fixture