Theorems · Theorem · commutative algebra

Polynomial.Chebyshev.T_iterate_derivative_mem_span_T

∀ {R : Type u_1} [inst : CommRing R] (n k : ℕ),
  (⇑Polynomial.derivative)^[k] (Polynomial.Chebyshev.T R ↑n) ∈
    Submodule.span ℕ ((fun m => Polynomial.Chebyshev.T R ↑m) '' Set.Icc 0 (n - k))

Defined in: Mathlib.RingTheory.Polynomial.Chebyshev
Cited by: 1 results in Mathlib
Foundations: Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing

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Polynomial.Chebyshev.abs_iterate_derivative_T_real_leproof · cited by 0