Theorems · Theorem · commutative algebra
Polynomial.resultant_dvd_leadingCoeff_pow
∀ {R : Type u_1} [inst : CommRing R] [IsDomain R] (f g : Polynomial R),
IsCoprime f g → ∃ n, f.resultant g ∣ f.leadingCoeff ^ n- Cited by
- 1 results in Mathlib
- Foundations
- Depth 157 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites32
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
- add_zeroproof · cited by 2,707
- zero_addproof · cited by 2,366
- mul_commproof · cited by 2,262
- IsDomainstatement and proof · cited by 2,196
- MulZeroClass.zero_mulproof · cited by 1,625
- IsUnitproof · cited by 1,602
- Polynomial.Cproof · cited by 1,598
- le_rflproof · cited by 1,558
- add_commproof · cited by 1,535
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.resultant_ne_zeroproof · cited by 0