Theorems · Inductive type · field theory
Polynomial.IsSplittingField
(K : Type v) → (L : Type w) → [inst : Field K] → [inst_1 : Field L] → [Algebra K L] → Polynomial K → Prop
Typeclass characterising splitting fields.
- Cited by
- 50 results in Mathlib
- Foundations
- Depth 45 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Algebrastatement · cited by 11,388
- Fieldstatement · cited by 7,404
- Polynomialstatement · cited by 5,681
Cited by59
Results whose statement or proof uses this declaration.
- Polynomial.IsSplittingField.splitsstatement and proof · cited by 14
- Polynomial.IsSplittingField.adjoin_rootSetstatement and proof · cited by 7
- autEquivZmodstatement and proof · cited by 5
- adjoinRootXPowSubCEquivstatement and proof · cited by 5
- autEquivRootsOfUnitystatement and proof · cited by 4
- rootOfSplitsXPowSubCstatement and proof · cited by 4
- Polynomial.IsSplittingField.finiteDimensionalstatement and proof · cited by 3
- InfiniteGalois.fixedField_fixingSubgroupproof · cited by 3
- IsGalois.of_separable_splitting_fieldstatement and proof · cited by 3
- Polynomial.IsSplittingField.adjoin_rootSet'statement and proof · cited by 2
- Polynomial.IsSplittingField.liftstatement and proof · cited by 2
- Polynomial.IsSplittingField.splits'statement and proof · cited by 2