Theorems · Theorem · commutative algebra
Polynomial.resultant_zero_left_deg
∀ {R : Type u_1} [inst : CommRing R] (f g : Polynomial R) (m : ℕ), f.resultant g 0 m = f.coeff 0 ^ m- Cited by
- 13 results in Mathlib
- Foundations
- Depth 90 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.
Cites13
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
- zero_addproof · cited by 2,366
- Polynomial.coeffstatement and proof · cited by 1,045
- Matrix.diagonalproof · cited by 314
- Fintype.card_finproof · cited by 270
- Finset.prod_constproof · cited by 154
- Matrix.det.congr_simpproof · cited by 91
- Fintype.card_congr'proof · cited by 60
- Polynomial.resultantstatement · cited by 54
- Matrix.det_diagonalproof · cited by 27
- Polynomial.sylvesterproof · cited by 18
Cited by13
Results whose statement or proof uses this declaration.
- Polynomial.resultant_zero_right_degproof · cited by 8
- Polynomial.resultant_zero_rightproof · cited by 3
- Polynomial.resultant_eq_prod_evalproof · cited by 3
- Polynomial.isUnit_resultant_iff_isCoprimeproof · cited by 2
- Polynomial.resultant_prod_leftproof · cited by 2
- Polynomial.resultant_C_leftproof · cited by 1
- Polynomial.resultant_scaleRootsproof · cited by 1
- Polynomial.resultant_dvd_leadingCoeff_powproof · cited by 1
- Polynomial.resultant_integralNormalizationproof · cited by 0
- Polynomial.resultant_ne_zeroproof · cited by 0
- Polynomial.resultant_C_zero_leftproof · cited by 0
- Polynomial.resultant_taylorproof · cited by 0