Theorems · Theorem · commutative algebra
Polynomial.Chebyshev.C_mul
∀ (R : Type u_1) [inst : CommRing R] (m n : ℤ), Polynomial.Chebyshev.C R (m * n) = (Polynomial.Chebyshev.C R m).comp (Polynomial.Chebyshev.C R n)
The (m * n)-th Chebyshev C polynomial is the composition of the m-th and n-th.
- Defined in
- Mathlib.RingTheory.Polynomial.Chebyshev
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
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Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Polynomialstatement and proof · cited by 5,681
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- add_zeroproof · cited by 2,707
- Polynomial.Xproof · cited by 1,639
- MulZeroClass.zero_mulproof · cited by 1,625
- pow_oneproof · cited by 894
- Polynomial.compstatement and proof · cited by 193
- Polynomial.Chebyshev.Cstatement and proof · cited by 31
- Polynomial.Chebyshev.inductproof · cited by 30
- Polynomial.X_compproof · cited by 29
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