Theorems · Theorem · commutative algebra
Polynomial.resultant_zero_left
∀ {R : Type u_1} [inst : CommRing R] (g : Polynomial R) (m n : ℕ), Polynomial.resultant 0 g m n = 0 ^ n * g.coeff 0 ^ m- Cited by
- 1 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.
Cites11
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
- MulZeroClass.zero_mulproof · cited by 1,625
- pow_zeroproof · cited by 1,094
- Polynomial.coeffstatement and proof · cited by 1,045
- zero_powproof · cited by 361
- Polynomial.resultantstatement · cited by 54
- Polynomial.resultant_commproof · cited by 11
- Polynomial.resultant_zero_rightproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.resultant_eq_prod_roots_subproof · cited by 1