Theorems · Theorem · field theory
Polynomial.associated_of_dvd_of_natDegree_le_of_leadingCoeff
∀ {R : Type u} [inst : CommRing R] [IsDomain R] {p q : Polynomial R},
p ∣ q → q.natDegree ≤ p.natDegree → q.leadingCoeff ∣ p.leadingCoeff → Associated p q- Defined in
- Mathlib.Algebra.Polynomial.Div
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Polynomialstatement and proof · cited by 5,681
- Unitsproof · cited by 2,804
- IsDomainstatement and proof · cited by 2,196
- Units.valproof · cited by 1,966
- Polynomial.Cproof · cited by 1,598
- Polynomial.natDegreestatement and proof · cited by 1,105
- Polynomial.leadingCoeffstatement and proof · cited by 498
- Associatedstatement and proof · cited by 296
- RingHom.toMonoidHomproof · cited by 132
- Units.mapproof · cited by 95
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.associated_of_dvd_of_natDegree_leproof · cited by 4