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def definition def or abbrev

phaseExp

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formal statement (Lean)

  46noncomputable def phaseExp (k : Fin 8) : ℂ := Complex.exp (Complex.I * phase k)

proof body

Definition body.

  47
  48/-- **THEOREM**: The 8th power of each phase gives 1.
  49    exp(i × k × π/4)^8 = exp(2πik) = 1.
  50    Uses periodicity: exp(2πin) = 1 for n ∈ ℤ. -/

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