Theorems · Theorem · number theory
Polynomial.eval_one_cyclotomic_prime
∀ {R : Type u_1} [inst : CommRing R] {p : ℕ} [hn : Fact (Nat.Prime p)],
Polynomial.eval 1 (Polynomial.cyclotomic p R) = ↑p- Cited by
- 2 results in Mathlib
- Foundations
- Depth 206 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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
- Factstatement and proof · cited by 2,726
- Finset.sum_congrproof · cited by 2,323
- Nat.Primestatement and proof · cited by 2,059
- Polynomial.Xproof · cited by 1,639
- Finset.rangeproof · cited by 1,341
- Polynomial.evalstatement and proof · cited by 796
- one_powproof · cited by 521
- Finset.sum_constproof · cited by 254
- Polynomial.eval_Xproof · cited by 172
- Polynomial.cyclotomicstatement · cited by 130
- Finset.card_rangeproof · cited by 108
Cited by2
Results whose statement or proof uses this declaration.
- IsCyclotomicExtension.Rat.associated_zeta_sub_one_pow_primeproof · cited by 1
- Polynomial.eval₂_one_cyclotomic_primeproof · cited by 0