Theorems · Theorem · field theory
Polynomial.irreducible_X
∀ {R : Type u} [inst : CommRing R] [IsDomain R], Irreducible Polynomial.X- Defined in
- Mathlib.Algebra.Polynomial.RingDivision
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 125 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Polynomialstatement · cited by 5,681
- IsDomainstatement and proof · cited by 2,196
- Polynomial.Xstatement · cited by 1,639
- Irreduciblestatement · cited by 496
- Prime.irreducibleproof · cited by 54
- Polynomial.prime_Xproof · cited by 4
Cited by5
Results whose statement or proof uses this declaration.
- Polynomial.exists_monic_irreducible_factorproof · cited by 3
- Polynomial.irreducible_factorproof · cited by 1
- PowerSeries.normalized_count_X_eq_of_coeproof · cited by 1
- Polynomial.X_pow_sub_X_sub_one_irreducibleproof · cited by 1
- Polynomial.X_pow_sub_X_sub_one_irreducible_ratproof · cited by 0