Theorems · Definition · commutative algebra
Polynomial.wronskianBilin
(R : Type u_1) → [inst : CommRing R] → Polynomial R →ₗ[R] Polynomial R →ₗ[R] Polynomial R
Polynomial.wronskian as a bilinear map.
- Defined in
- Mathlib.RingTheory.Polynomial.Wronskian
- Cited by
- 8 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- LinearMapstatement · cited by 10,215
- Polynomialstatement and proof · cited by 5,681
- LinearMap.compproof · cited by 1,642
- Polynomial.derivativeproof · cited by 331
- LinearMap.mulproof · cited by 61
- LinearMap.compl₂proof · cited by 38
Cited by8
Results whose statement or proof uses this declaration.
- Polynomial.isAlt_wronskianBilinstatement · cited by 2
- Polynomial.wronskianBilin_applystatement · cited by 1
- Polynomial.wronskian_zero_leftproof · cited by 1
- Polynomial.wronskian_zero_rightproof · cited by 1
- Polynomial.wronskian_add_leftproof · cited by 0
- Polynomial.wronskian_add_rightproof · cited by 0
- Polynomial.wronskian_neg_leftproof · cited by 0
- Polynomial.wronskian_neg_rightproof · cited by 0