Theorems · Theorem · field theory
Polynomial.monic_of_degree_le
∀ {R : Type u} [inst : Semiring R] {p : Polynomial R} (n : ℕ), p.degree ≤ ↑n → p.coeff n = 1 → p.Monic- Cited by
- 2 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
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.
- Semiringstatement and proof · cited by 13,802
- Polynomialstatement and proof · cited by 5,681
- WithBotstatement · cited by 1,498
- Polynomial.coeffstatement and proof · cited by 1,045
- Polynomial.degreestatement and proof · cited by 643
- Polynomial.Monicstatement · cited by 461
- Polynomial.natDegree_le_of_degree_leproof · cited by 16
- Polynomial.monic_of_natDegree_le_of_coeff_eq_oneproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- Polynomial.monic_X_pow_addproof · cited by 3
- Polynomial.monic_integralNormalizationproof · cited by 2