Theorems · Theorem · special functions
Polynomial.Chebyshev.one_lt_eval_T_real
∀ {n : ℤ}, n ≠ 0 → ∀ {x : ℝ}, 1 < x → 1 < Polynomial.eval x (Polynomial.Chebyshev.T ℝ n)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 212 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Nat.cast_zeroproof · cited by 1,870
- le_of_ltproof · cited by 1,175
- Polynomial.evalstatement and proof · cited by 796
- Int.cast_zeroproof · cited by 188
- Polynomial.Chebyshev.Tstatement and proof · cited by 108
- mul_ne_zero_iffproof · cited by 39
- Real.arcoshproof · cited by 27
- Real.cosh_arcoshproof · cited by 3
- Real.one_lt_coshproof · cited by 2
- Polynomial.Chebyshev.T_real_coshproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Polynomial.Chebyshev.one_lt_abs_eval_T_realproof · cited by 1
- Polynomial.Chebyshev.one_lt_negOnePow_mul_eval_T_realproof · cited by 0