`logicInt_finite_phase_separates`

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module: IndisputableMonolith.NumberTheory.LogicLedgerInterop
domain: NumberTheory
line: 58 · github
papers citing: none yet

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IndisputableMonolith.NumberTheory.LogicLedgerInterop on GitHub at line 58.

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formal source

  55
  56/-- Recovered non-identity integer ledgers have a finite phase separating
  57them from identity. -/
  58theorem logicInt_finite_phase_separates
  59    {z : LogicInt}
  60    (h : LogicIntNonIdentityReciprocal z) :
  61    ∃ c : ℕ, 0 < c ∧
  62      ((reciprocalIntegerLedger_of_logicInt h).carrier : ZMod c) ≠ 1 :=
  63  finite_phase_separates_nonidentity (reciprocalIntegerLedger_of_logicInt h)
  64
  65end LogicLedgerInterop
  66end NumberTheory
  67end IndisputableMonolith

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