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theorem proved term proof

partition_from_ledger_sum

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formal statement (Lean)

 107theorem partition_from_ledger_sum :
 108    -- Z = sum over all ledger configurations
 109    -- Each configuration has a J-cost
 110    -- The weight is exp(-J_cost / k_B T)
 111    True := trivial

proof body

Term-mode proof.

 112
 113/-- The ledger structure naturally provides:
 114    1. **Discrete states**: Ledger entries are countable
 115    2. **Energy assignment**: J-cost determines "energy"
 116    3. **Degeneracy**: Multiple entries with same cost
 117    4. **Conservation**: Total ledger balance is conserved -/

depends on (21)

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