Theorems · Theorem · number theory
Polynomial.sub_one_pow_totient_lt_cyclotomic_eval
∀ {n : ℕ} {q : ℝ}, 2 ≤ n → 1 < q → (q - 1) ^ n.totient < Polynomial.eval q (Polynomial.cyclotomic n ℝ)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 213 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites69
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement and proof · cited by 25,697
- Complexproof · cited by 5,565
- Norm.normproof · cited by 5,413
- NNRealproof · cited by 4,310
- Unitsproof · cited by 2,804
- Nat.cast_oneproof · cited by 2,501
- zero_addproof · cited by 2,366
- Finset.prodproof · cited by 2,356
- LT.lt.leproof · cited by 2,189
- Nat.cast_zeroproof · cited by 1,870
- Real.piproof · cited by 1,774
Cited by2
Results whose statement or proof uses this declaration.
- Polynomial.sub_one_pow_totient_lt_natAbs_cyclotomic_evalproof · cited by 1
- Polynomial.sub_one_pow_totient_le_cyclotomic_evalproof · cited by 0