Theorems · Theorem · field theory
Polynomial.prime_of_degree_eq_one
∀ {R : Type u} [inst : Field R] {p : Polynomial R}, p.degree = 1 → Prime p- Defined in
- Mathlib.Algebra.Polynomial.FieldDivision
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 125 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fieldstatement and proof · cited by 7,404
- Polynomialstatement and proof · cited by 5,681
- WithBotstatement · cited by 1,498
- Polynomial.degreestatement and proof · cited by 643
- Primestatement and proof · cited by 277
- normalizeproof · cited by 137
- normalize_associatedproof · cited by 7
- Associated.primeproof · cited by 4
- Polynomial.Monic.prime_of_degree_eq_oneproof · cited by 2
- Polynomial.monic_normalizeproof · cited by 2
- Polynomial.degree_normalizeproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.irreducible_of_degree_eq_oneproof · cited by 2