Theorems · Theorem · number theory
Polynomial.cyclotomic.monic
∀ (n : ℕ) (R : Type u_1) [inst : Ring R], (Polynomial.cyclotomic n R).Monic
cyclotomic n is monic.
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 202 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Ring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Polynomialproof · cited by 5,681
- Polynomial.Monicstatement and proof · cited by 461
- Int.castRingHomproof · cited by 254
- Polynomial.cyclotomicstatement · cited by 130
- Polynomial.Monic.mapproof · cited by 52
- Polynomial.map_cyclotomic_intproof · cited by 21
- Polynomial.int_cyclotomic_specproof · cited by 3
Cited by12
Results whose statement or proof uses this declaration.
- Polynomial.cyclotomic_ne_zeroproof · cited by 11
- Polynomial.cyclotomic_eq_minpolyproof · cited by 7
- IsPrimitiveRoot.minpoly_eq_cyclotomic_of_irreducibleproof · cited by 4
- Polynomial.cyclotomic.isPrimitiveproof · cited by 2
- Polynomial.cyclotomic_eq_X_pow_sub_one_divproof · cited by 2
- Polynomial.eq_cyclotomic_iffproof · cited by 2
- Polynomial.cyclotomic_expand_eq_cyclotomicproof · cited by 2
- Polynomial.cyclotomic_expand_eq_cyclotomic_mulproof · cited by 2
- Polynomial.cyclotomic.isCoprime_ratproof · cited by 1
- cyclotomic_comp_X_add_one_isEisensteinAtproof · cited by 1
- cyclotomic_prime_pow_comp_X_add_one_isEisensteinAtproof · cited by 1
- Polynomial.cyclotomic_mahlerMeasure_eq_oneproof · cited by 0