Theorems · Theorem · commutative algebra
Polynomial.resultant_eq_zero_iff
∀ {K : Type u_2} [inst : Field K] {f g : Polynomial K}, f.resultant g = 0 ↔ (f ≠ 0 ∨ g ≠ 0) ∧ ¬IsCoprime f g- Cited by
- 0 results in Mathlib
- Foundations
- Depth 158 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
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Cites25
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Fieldstatement and proof · cited by 7,404
- Polynomialstatement and proof · cited by 5,681
- IsUnitproof · cited by 1,602
- Polynomial.Cproof · cited by 1,598
- eq_or_neproof · cited by 1,117
- Polynomial.natDegreestatement and proof · cited by 1,105
- pow_zeroproof · cited by 1,094
- Polynomial.coeffproof · cited by 1,045
- Polynomial.leadingCoeffproof · cited by 498
- Polynomial.Monicproof · cited by 461
- IsCoprimestatement and proof · cited by 321
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