Theorems · Theorem · commutative algebra
divRadical_dvd_derivative
∀ {k : Type u_1} [inst : Field k] [inst_1 : DecidableEq k] (a : Polynomial k),
EuclideanDomain.divRadical a ∣ Polynomial.derivative a- Defined in
- Mathlib.RingTheory.Polynomial.Radical
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 123 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites44
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
- RingHom.idstatement · cited by 18,349
- LinearMapstatement · cited by 10,215
- Fieldstatement and proof · cited by 7,404
- Polynomialstatement and proof · cited by 5,681
- mul_commproof · cited by 2,262
- mul_assocproof · cited by 1,667
- IsUnitproof · cited by 1,602
- Polynomial.Cproof · cited by 1,598
- pow_zeroproof · cited by 1,094
- pow_succproof · cited by 374
- Polynomial.derivativestatement and proof · cited by 331
Cited by1
Results whose statement or proof uses this declaration.
- divRadical_dvd_wronskian_leftproof · cited by 2