Theorems · Definition · number theory
Polynomial.cyclotomic
ℕ → (R : Type u_1) → [inst : Ring R] → Polynomial R
The n-th cyclotomic polynomial with coefficients in R.
- Cited by
- 130 results in Mathlib
- Foundations
- Depth 199 from the axioms, rests on 5,499 definitions · uses propext, Classical.choice, Quot.sound
- Assumes
- Ring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ringstatement and proof · cited by 7,463
- Polynomialstatement · cited by 5,681
- Polynomial.mapproof · cited by 806
- Int.castRingHomproof · cited by 254
Cited by136
Results whose statement or proof uses this declaration.
- Polynomial.map_cyclotomic_intstatement · cited by 21
- Polynomial.cyclotomic.irreducible_ratstatement · cited by 18
- Polynomial.map_cyclotomicstatement and proof · cited by 15
- CyclotomicFieldproof · cited by 14
- Polynomial.isRoot_cyclotomic_iffstatement and proof · cited by 12
- Polynomial.cyclotomic.monicstatement · cited by 12
- IsCyclotomicExtension.finrankstatement and proof · cited by 12
- Polynomial.natDegree_cyclotomicstatement and proof · cited by 12
- Polynomial.prod_cyclotomic_eq_X_pow_sub_onestatement and proof · cited by 11
- Polynomial.cyclotomic_ne_zerostatement · cited by 11
- Polynomial.cyclotomic_zerostatement · cited by 11
- Polynomial.cyclotomic_eq_minpolystatement · cited by 7