Theorems · Theorem · commutative algebra
Polynomial.resultant_C_right
∀ {R : Type u_1} [inst : CommRing R] (f : Polynomial R) (m n : ℕ) (r : R),
f.resultant (Polynomial.C r) m n = f.coeff m ^ n * r ^ m- Cited by
- 3 results in Mathlib
- Foundations
- Depth 104 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.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- RingHomstatement · cited by 10,189
- Polynomialstatement and proof · cited by 5,681
- zero_addproof · cited by 2,366
- Polynomial.Cstatement and proof · cited by 1,598
- Polynomial.coeffstatement and proof · cited by 1,045
- Polynomial.natDegree_Cproof · cited by 59
- Polynomial.coeff_C_zeroproof · cited by 58
- Polynomial.resultantstatement and proof · cited by 54
- Polynomial.resultant_zero_right_degproof · cited by 8
- Polynomial.resultant_add_right_degproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- Polynomial.resultant_X_sub_C_leftproof · cited by 3
- Polynomial.isUnit_resultant_iff_isCoprimeproof · cited by 2
- Polynomial.resultant_one_rightproof · cited by 2