 243def closed_count : ℕ := (all_choke_points.filter (fun c => c.status = "closed")).length
 244
 245/-- Count of scaffolded choke points. -/
 246def scaffold_count : ℕ := (all_choke_points.filter (fun c => c.status = "scaffold")).length
 247
 248/-! ## The Inevitability Upgrade Path -/
 249
 250/-- The upgrade path: what needs to happen to make inevitability complete. -/
 251structure UpgradePath where
 252  /-- Current state -/
 253  current_state : String
 254  /-- Required steps -/
 255  steps : List String
 256  /-- Target state -/
 257  target_state : String
 258
 259/-- The path to complete inevitability. -/
 260def inevitability_upgrade : UpgradePath := {
 261  current_state := "Partial: Cost uniqueness proven, other gates scaffolded"
 262  steps := [
 263    "1. Prove CPM Universality: selection = coercive minimization (no alternatives)",
 264    "2. Prove Dimension Forcing: linking + gap-45 → D = 3",
 265    "3. Complete Exclusivity: any zero-param framework ≅ RS",
 266    "4. Remove EQUIV_AX scaffolds: connect abstract claims to concrete defs"
 267  ]
 268  target_state := "Complete: Any alternative must violate a necessity or add parameters"
 269}
 270
 271/-! ## The Economic Inevitability Framing -/
 272
 273/-- The core insight in economic terms:
 274    "The world is what cheap, stable recognition looks like." -/
 275def economic_inevitability_statement : String :=
 276  "Existence = stable minimizer under coercive aggregation with unique J. " ++

papers checked against this theorem

No papers in the current corpus map onto this theorem yet.