CNVS LEAN 4 FORMAL VERIFICATION REPORT
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Repository Summary
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The following Lean 4 modules and outcome reports were successfully compiled
and verified during the CNVS formal verification session.

All listed modules passed with:
- ZERO COMPILATION ERRORS
- TYPE-CHECK SUCCESS
- MATHLIB COMPATIBILITY
- FORMAL KERNEL ACCEPTANCE

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VERIFIED MODULES
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1. CNVS code Lean 4 - Test axiom III
2. CNVS code Lean 4 - Test axiom III outcome

3. CNVS code Lean 4 - Test axioms
4. CNVS code Lean 4 - Test axioms outcome

5. CNVS code Lean 4 - Test Binomial Tail No axiom
6. CNVS code Lean 4 - Test Binomial Tail No axiom outcome

7. CNVS code Lean 4 - Test Binomial Tail Security Model
8. CNVS code Lean 4 - Test Binomial Tail Security Model outcome

9. CNVS code Lean 4 - Test Chernoff Bound
10. CNVS code Lean 4 - Test Chernoff Bound outcome

11. CNVS code Lean 4 - Test Core Axioms
12. CNVS code Lean 4 - Test Core Axioms outcome

13. CNVS code Lean 4 - Test Dependent Collusion → Emergent Scaling Integration
14. CNVS code Lean 4 - Test Dependent Collusion → Emergent Scaling Integration outcome

15. CNVS code Lean 4 - Test Emergent Security Scaling
16. CNVS code Lean 4 - Test Emergent Security Scaling outcome

17. CNVS code Lean 4 - Test Entropic Inference
18. CNVS code Lean 4 - Test Entropic Inference outcome

19. CNVS code Lean 4 - Test Feasibility Constraint
20. CNVS code Lean 4 - Test Feasibility Constraint outcome

21. CNVS code Lean 4 - Test Full dependent-collusion probability model
22. CNVS code Lean 4 - Test Full dependent-collusion probability model outcome

23. CNVS code Lean 4 - Test Information Density — weighted density
24. CNVS code Lean 4 - Test Information Density — weighted density outcome

25. CNVS code Lean 4 - Test Knowledge Restriction Principle
26. CNVS code Lean 4 - Test Knowledge Restriction Principle - outcome

27. CNVS code Lean 4 - Test Knowledge Restriction Principle Asymptotic
28. CNVS code Lean 4 - Test Knowledge Restriction Principle Asymptotic outcome

29. CNVS code Lean 4 - Test Main Integration Theorem astratto CNVS
30. CNVS code Lean 4 - Test Main Integration Theorem astratto CNVS outcome

31. CNVS code Lean 4 - Test Probabilistic Security Core — Threshold Reconstruction
32. CNVS code Lean 4 - Test Probabilistic Security Core — Threshold Reconstruction outcome

33. CNVS code Lean 4 - Test Reconstruction Consistency
34. CNVS code Lean 4 - Test Reconstruction Consistency outcome

35. CNVS code Lean 4 - Test State Rejection
36. CNVS code Lean 4 - Test State Rejection outcome

37. CNVS code Lean 4 - Test Target Attack Probability Bound
38. CNVS code Lean 4 - Test Target Attack Probability Bound outcome

39. CNVS code Lean 4 - Test VLocal
40. CNVS code Lean 4 - Test VLocal outcome

41. CNVS code Lean 4 - Theorem 17a.1 — Generalized Emergent Security Scaling under Depend...
42. CNVS code Lean 4 - Theorem 17a.1 — Generalized Emergent Security Scaling under Depend... outcome

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FORMAL VERIFICATION COVERAGE
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The verified modules collectively cover:

- Core CNVS axioms
- Axiom consistency
- Local vs Global separation
- Knowledge restriction principles
- Asymptotic knowledge restriction
- Reconstruction consistency
- State rejection laws
- Information density models
- Probabilistic threshold reconstruction
- Attack probability bounds
- Binomial-tail probabilistic bounds
- Chernoff exponential bounds
- Emergent security scaling
- Entropic adversarial inference
- Dependent collusion probability models
- Measure-theoretic probability integration
- Integrated CNVS asymptotic theorem
- Theorem 17a.1 dependent-collusion scaling

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FINAL STATUS
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CNVS CORE FORMALIZATION STATUS:

FORMALLY PROTOTYPED
STRUCTURALLY COHERENT
PROBABILISTICALLY INTEGRATED
LEAN 4 VERIFIED

All listed modules:
PASSED — ZERO ERRORS.

End of Report.