Theorems · Definition · field theory
Polynomial.SplittingFieldAux
ℕ → {K : Type u} → [inst : Field K] → Polynomial K → Type uAuxiliary construction to a splitting field of a polynomial, which removes
n (arbitrarily-chosen) factors. It is the type constructed in SplittingFieldAuxAux.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 130 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
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.
- Fieldstatement and proof · cited by 7,404
- Polynomialstatement and proof · cited by 5,681
- Polynomial.SplittingFieldAuxAuxproof · cited by 0
Cited by6
Results whose statement or proof uses this declaration.
- Polynomial.SplittingFieldproof · cited by 42
- Polynomial.SplittingFieldAux.algebraMap_succstatement · cited by 2
- Polynomial.SplittingFieldAux.splitsstatement and proof · cited by 0
- Polynomial.SplittingFieldAux.succstatement · cited by 0
- Polynomial.SplittingFieldAux.adjoin_rootSetstatement and proof · cited by 0
- Polynomial.SplittingField.algEquivSplittingFieldAuxstatement · cited by 0