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)
Lean names referenced from this declaration's body.