Theorems · Theorem · field theory
Polynomial.of_irreducible_expand
∀ {R : Type u} [inst : CommRing R] [IsDomain R] {p : ℕ},
p ≠ 0 → ∀ {f : Polynomial R}, Irreducible ((Polynomial.expand R p) f) → Irreducible f- Defined in
- Mathlib.Algebra.Polynomial.Expand
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- DFunLike.coestatement and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Polynomialstatement and proof · cited by 5,681
- AlgHomstatement · cited by 3,236
- IsDomainstatement and proof · cited by 2,196
- Irreduciblestatement and proof · cited by 496
- Ne.bot_ltproof · cited by 116
- IsLocalHomproof · cited by 100
- Polynomial.expandstatement and proof · cited by 90
- Irreducible.of_mapproof · cited by 4
- Polynomial.isLocalHom_expandproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Polynomial.cyclotomic_irreducible_pow_of_irreducible_powproof · cited by 2
- Polynomial.of_irreducible_expand_powproof · cited by 0