Theorems · Theorem · field theory
Associated.separable
∀ {R : Type u} [inst : CommSemiring R] {f g : Polynomial R}, Associated f g → f.Separable → g.Separable- Defined in
- Mathlib.FieldTheory.Separable
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
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.
- CommSemiringstatement and proof · cited by 10,911
- Polynomialstatement and proof · cited by 5,681
- Associatedstatement and proof · cited by 296
- Polynomial.Separablestatement and proof · cited by 117
Cited by4
Results whose statement or proof uses this declaration.
- Polynomial.Separable.mul_unitproof · cited by 1
- Associated.separable_iffproof · cited by 0
- Polynomial.Separable.map_irreducible_of_isPurelyInseparableproof · cited by 0
- Polynomial.Separable.unit_mulproof · cited by 0