Theorems · Theorem · special functions
Polynomial.Chebyshev.eval_T_real_cos_int_mul_pi_div
∀ {k n : ℕ}, n ≠ 0 → Polynomial.eval (Real.cos (↑k * Real.pi / ↑n)) (Polynomial.Chebyshev.T ℝ ↑n) = ↑↑(↑k).negOnePow- Cited by
- 2 results in Mathlib
- Foundations
- Depth 177 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
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
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- Units.valstatement and proof · cited by 1,966
- Real.pistatement and proof · cited by 1,774
- one_ne_zeroproof · cited by 885
- Polynomial.evalstatement · cited by 796
- ne_of_gtproof · cited by 637
- div_oneproof · cited by 629
- Real.cosstatement and proof · cited by 424
- Int.cast_natCastproof · cited by 393
- zero_leproof · cited by 382
Cited by2
Results whose statement or proof uses this declaration.
- Polynomial.Chebyshev.eval_T_real_eq_one_iffproof · cited by 3
- Polynomial.Chebyshev.eval_T_real_eq_neg_one_iffproof · cited by 3