Theorems · Theorem · commutative algebra
Polynomial.resultant_C_zero_right
∀ {R : Type u_1} [inst : CommRing R] (f : Polynomial R) (m : ℕ) (r : R), f.resultant (Polynomial.C r) m 0 = r ^ mRes(a, g) = a ^ deg g
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- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
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Cites8
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
- Polynomial.Cstatement and proof · cited by 1,598
- Polynomial.coeff_C_zeroproof · cited by 58
- Polynomial.resultantstatement · cited by 54
- Polynomial.resultant_zero_right_degproof · cited by 8
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