Theorems · Theorem · field theory

Polynomial.IsSplittingField.IsScalarTower.splits

∀ {F : Type u} {K : Type v} (L : Type w) [inst : Field K] [inst_1 : Field L] [inst_2 : Field F] [inst_3 : Algebra K L]
  [inst_4 : Algebra F K] [inst_5 : Algebra F L] [IsScalarTower F K L] (f : Polynomial F)
  [Polynomial.IsSplittingField K L ((Polynomial.mapAlg F K) f)], ((Polynomial.mapAlg F L) f).Splits

Defined in

Mathlib.FieldTheory.SplittingField.IsSplittingField

Cited by

2 results in Mathlib

Foundations

Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldFieldFieldAlgebraAlgebraAlgebraIsScalarTowerPolynomial.IsSplittingField