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theorem proved term proof

phi_irrational_information

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formal statement (Lean)

 250theorem phi_irrational_information : Irrational phi :=

proof body

Term-mode proof.

 251  phi_irrational
 252
 253/-- **THEOREM IC-001.20**: φ satisfies x² = x + 1 (the ledger self-similarity equation).
 254    This means φ is the unique positive real encoding the information that
 255    "the next level contains the previous two" — the Fibonacci property. -/

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