`fibonacci_recurrence`

proved

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module: IndisputableMonolith.Physics.EightTickPeriodicityFromD
domain: Physics
line: 41 · github
papers citing: none yet

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IndisputableMonolith.Physics.EightTickPeriodicityFromD on GitHub at line 41.

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formal source

  38
  39/-- Fibonacci recurrence: F(6) = F(5) + F(4). -/
  40def F5 : ℕ := 5
  41theorem fibonacci_recurrence : F6 = F5 + F4 := by decide
  42
  43/-- D and 2^D are both Fibonacci numbers at D=3. -/
  44theorem both_fibonacci_at_D3 : F4 = spatialDim ∧ F6 = ledgerPeriod := by
  45  exact ⟨rfl, by decide⟩
  46
  47/-- 8-tick and D=3 are connected by Fibonacci. -/
  48theorem eight_tick_fibonacci_connection : Nat.fib 6 = 8 := by decide
  49
  50structure EightTickCert where
  51  period_8 : ledgerPeriod = 8
  52  fibonacci_D : F4 = spatialDim ∧ F6 = ledgerPeriod
  53  fibonacci_rec : F6 = F5 + F4
  54
  55def eightTickCert : EightTickCert where
  56  period_8 := ledgerPeriod_eq_8
  57  fibonacci_D := both_fibonacci_at_D3
  58  fibonacci_rec := fibonacci_recurrence
  59
  60end IndisputableMonolith.Physics.EightTickPeriodicityFromD

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