Theorems · Theorem · special functions
Polynomial.Chebyshev.isLocalExtr_T_real_iff
∀ {n : ℕ},
2 ≤ n →
∀ (x : ℝ),
IsLocalExtr (fun x => Polynomial.eval x (Polynomial.Chebyshev.T ℝ ↑n)) x ↔
∃ k ∈ Finset.Ioo 0 n, x = Real.cos (↑k * Real.pi / ↑n)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 219 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites31
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Finsetstatement · cited by 13,712
- Polynomialproof · cited by 5,681
- Multisetproof · cited by 2,627
- Nat.cast_oneproof · cited by 2,501
- Real.pistatement and proof · cited by 1,774
- Finset.rangeproof · cited by 1,341
- Polynomial.evalstatement and proof · cited by 796
- derivproof · cited by 676
- Real.cosstatement and proof · cited by 424
- Int.cast_natCastproof · cited by 393
- Polynomial.rootsproof · cited by 264
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