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theorem proved term proof

identity_viable

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formal statement (Lean)

 154theorem identity_viable : IsViable 1 := by

proof body

Term-mode proof.

 155  unfold IsViable maintenanceDemand maintenanceBudget
 156  rw [Cost.Jcost_unit0, mul_zero]
 157  exact le_of_lt (maintenanceBudget_pos (by norm_num : (0:ℝ) < 1))
 158
 159/-! ## §6. Z-Complexity Increases Demand -/
 160
 161/-- For a system with Z-complexity (conserved information integer),
 162    the maintenance demand scales with complexity:
 163
 164        demand(L, Z) = barrierPeriod · J(L) · (1 + |Z| · k_R)
 165
 166    Higher Z requires more recognition events per barrier cycle. -/

depends on (15)

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