Theorems · Theorem · number theory
Polynomial.sub_one_lt_natAbs_cyclotomic_eval
∀ {n q : ℕ}, 1 < n → q ≠ 1 → q - 1 < (Polynomial.eval (↑q) (Polynomial.cyclotomic n ℤ)).natAbs- Cited by
- 1 results in Mathlib
- Foundations
- Depth 215 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LT.lt.ne'proof · cited by 1,417
- Polynomial.evalstatement · cited by 796
- Polynomial.cyclotomicstatement · cited by 130
- pos_of_gtproof · cited by 24
- Nat.totient_posproof · cited by 14
- Polynomial.sub_one_pow_totient_lt_natAbs_cyclotomic_evalproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Nat.exists_prime_gt_modEq_oneproof · cited by 1