Theorems · Theorem · commutative algebra
Polynomial.resultant_add_right_deg
∀ {R : Type u_1} [inst : CommRing R] (f g : Polynomial R) (m n k : ℕ),
g.natDegree ≤ n → f.resultant g m (n + k) = f.coeff m ^ k * f.resultant g m n- Cited by
- 3 results in Mathlib
- Foundations
- Depth 96 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.
Cites17
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
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- add_zeroproof · cited by 2,707
- Nat.cast_oneproof · cited by 2,501
- mul_commproof · cited by 2,262
- mul_assocproof · cited by 1,667
- Polynomial.natDegreestatement and proof · cited by 1,105
- Polynomial.coeffstatement and proof · cited by 1,045
- pow_oneproof · cited by 894
- one_powproof · cited by 521
Cited by3
Results whose statement or proof uses this declaration.
- Polynomial.resultant_C_rightproof · cited by 3
- Polynomial.resultant_eq_prod_evalproof · cited by 3
- Polynomial.resultant_eq_zero_of_lt_ltproof · cited by 0