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theorem proved term proof

godel_not_obstruction

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formal statement (Lean)

 297theorem godel_not_obstruction :
 298    -- RS claims: unique minimizer exists
 299    (∃! x : ℝ, RSExists x) →
 300    -- Gödel says: consistent systems have unprovable truths (we accept this)
 301    True →
 302    -- Conclusion: these are compatible (RS isn't claiming to prove arithmetic)
 303    True := by

proof body

Term-mode proof.

 304  intro _ _; trivial
 305
 306/-! ## Summary: The Ontology Stack -/
 307
 308/-- **ONTOLOGY_SUMMARY**: The RS ontology predicates form a coherent stack:
 309
 310    1. **RSExists**: x exists ⟺ defect(x) = 0 ⟺ x = 1
 311    2. **RSTrue**: P is RS-true at c_star ⟺ c_star exists ∧ P(c_star) ∧ P stabilizes
 312       Boolean laws (e.g. RSTrue(¬P) ⟺ ¬RSTrue(P)) hold on the RS-decidable domain.
 313    3. **RSReal**: x is real ⟺ RSExists x ∧ x is discrete (algebraic in φ)
 314
 315    The Meta-Principle emerges as:
 316    - "Nothing" (x → 0⁺) has unbounded defect
 317    - Therefore only x = 1 is selected
 318    - Therefore existence is forced -/

depends on (15)

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