Theorems · Theorem · commutative algebra
Polynomial.resultant_eq_zero_of_lt_lt
∀ {R : Type u_1} [inst : CommRing R] (f g : Polynomial R) (m n : ℕ),
f.natDegree < m → g.natDegree < n → f.resultant g m n = 0- Cited by
- 0 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
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Cites12
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
- MulZeroClass.mul_zeroproof · cited by 2,091
- MulZeroClass.zero_mulproof · cited by 1,625
- Polynomial.natDegreestatement and proof · cited by 1,105
- Polynomial.coeffproof · cited by 1,045
- pow_oneproof · cited by 894
- Polynomial.coeff_eq_zero_of_natDegree_ltproof · cited by 55
- Polynomial.resultantstatement and proof · cited by 54
- Polynomial.resultant_add_left_degproof · cited by 5
- Polynomial.resultant_add_right_degproof · cited by 3
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