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theorem proved term proof

total_info_cost_nonneg

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formal statement (Lean)

 191theorem total_info_cost_nonneg (s : LedgerState) : totalInfoCost s ≥ 0 := by

proof body

Term-mode proof.

 192  unfold totalInfoCost
 193  exact foldl_add_nonneg s.events 0 (le_refl 0)
 194
 195/-- **THEOREM IC-001.14**: The empty ledger state has zero information cost.
 196    Consistent with: no recognition events = no information. -/

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