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Polynomial.Chebyshev.rootMultiplicity_U_real

∀ {n k : ℕ},
  k < n → Polynomial.rootMultiplicity (Real.cos ((↑k + 1) * Real.pi / (↑n + 1))) (Polynomial.Chebyshev.U ℝ ↑n) = 1
Defined in
Mathlib.Analysis.SpecialFunctions.Trigonometric.Chebyshev.RootsExtrema
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Foundations
Depth 186 from the axioms · uses propext, Classical.choice, Quot.sound
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Real · cited by 25697RealMultiset · cited by 2627MultisetReal.pi · cited by 1774Real.piMultiset.map · cited by 876Multiset.mapReal.cos · cited by 424Real.cosMultiset.count · cited by 302Multiset.countPolynomial.rootMultiplicity · cited by 79Polynomial.rootMultiplici…Polynomial.Chebyshev.U · cited by 71Chebyshev.UMultiset.range · cited by 30Multiset.rangePolynomial.count_roots · cited by 19Polynomial.count_rootsMultiset.count_eq_one_of_mem · cited by 8Multiset.count_eq_one_of_…Polynomial.Chebyshev.roots_U_real · cited by 2Chebyshev.roots_U_realChebyshev.rootMultiplicity_U_…CITED BYCITES

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