Theorems · Definition · commutative algebra
Polynomial.wronskian
{R : Type u_1} → [inst : CommRing R] → Polynomial R → Polynomial R → Polynomial RWronskian of a pair of polynomials, W(a, b) = ab' - a'b.
- Defined in
- Mathlib.RingTheory.Polynomial.Wronskian
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 106 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.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Polynomialstatement and proof · cited by 5,681
- Polynomial.derivativeproof · cited by 331
Cited by16
Results whose statement or proof uses this declaration.
- divRadical_dvd_wronskian_leftstatement · cited by 2
- divRadical_dvd_wronskian_rightstatement · cited by 1
- IsCoprime.wronskian_eq_zero_iffstatement and proof · cited by 1
- Polynomial.wronskianBilin_applystatement · cited by 1
- Polynomial.wronskian_eq_of_sum_zerostatement · cited by 1
- Polynomial.wronskian_neg_eqstatement · cited by 1
- Polynomial.wronskian_self_eq_zerostatement · cited by 1
- Polynomial.wronskian_zero_leftstatement · cited by 1
- Polynomial.wronskian_zero_rightstatement · cited by 1
- Polynomial.degree_wronskian_lt_addstatement · cited by 1
- Polynomial.wronskian_add_leftstatement · cited by 0
- Polynomial.wronskian_add_rightstatement · cited by 0