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theorem proved term proof

mp_forces_existence

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formal statement (Lean)

 252theorem mp_forces_existence :
 253    (∀ C : ℝ, ∃ ε > 0, ∀ x, 0 < x → x < ε → C < defect x) →
 254    ∃ x : ℝ, RSExists x := by

proof body

Term-mode proof.

 255  intro _
 256  exact ⟨1, rs_exists_one⟩
 257
 258/-! ## Gödel Dissolution: Why Incompleteness Doesn't Bite -/
 259
 260/-- **GODEL_NOT_IN_ONTOLOGY**: Gödel's incompleteness is about formal proof systems
 261    proving arithmetic sentences. RS is about selection by cost minimization.
 262
 263    The key insight: RS doesn't claim to prove all true sentences.
 264    It claims there's a unique cost-minimizing configuration.
 265
 266    Gödel says: "Any consistent formal system has unprovable true sentences."
 267    RS says: "The world is the unique J-minimizer."
 268
 269    These are different claims about different targets:
 270    - Gödel: provability of arithmetic truths
 271    - RS: selection of physical configurations
 272
 273    Therefore Gödel's obstruction doesn't apply to RS's closure claim. -/

depends on (21)

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