Real Projection Membership
StatusFully Proven
TypeTheorem
ModuleChebyshevCircles.Proofs.RootsOfUnity
Statement
For $k < N$, $\cos(\theta + 2\pi k/N) \in \mathrm{realProjectionsList}(N, \theta).$
theorem realProjection_mem_list (N : ℕ) (θ : ℝ) (k : ℕ) (hk : k < N) :
Real.cos (θ + 2 * π * k / N) ∈ realProjectionsList N θ := by
Proof
simp [realProjectionsList, List.mem_map, List.mem_range]
exact ⟨k, hk, rfl⟩
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Mathlib Ready
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