Theorems · Theorem · commutative algebra
Polynomial.resultant_zero_right_deg
∀ {R : Type u_1} [inst : CommRing R] (f g : Polynomial R) (m : ℕ), f.resultant g m 0 = g.coeff 0 ^ m- Cited by
- 8 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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 and proof · cited by 5,681
- one_mulproof · cited by 2,841
- MulZeroClass.mul_zeroproof · cited by 2,091
- pow_zeroproof · cited by 1,094
- Polynomial.coeffstatement and proof · cited by 1,045
- Polynomial.resultantstatement · cited by 54
- Polynomial.resultant_zero_left_degproof · cited by 13
- Polynomial.resultant_commproof · cited by 11
Cited by8
Results whose statement or proof uses this declaration.
- Polynomial.resultant_C_rightproof · cited by 3
- Polynomial.resultant_scaleRootsproof · cited by 1
- Polynomial.resultant_selfproof · cited by 1
- Polynomial.resultant_succ_left_degproof · cited by 1
- Polynomial.resultant_dvd_leadingCoeff_powproof · cited by 1
- Polynomial.resultant_integralNormalizationproof · cited by 0
- Polynomial.resultant_C_zero_rightproof · cited by 0
- Polynomial.resultant_eq_zero_iffproof · cited by 0