Theorems · Theorem · field theory
Polynomial.IsSplittingField.IsScalarTower.isAlgebraic
∀ {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] [Algebra.IsAlgebraic F K] [IsScalarTower F K L] (f : Polynomial K)
[Polynomial.IsSplittingField K L f], Algebra.IsAlgebraic F L- Cited by
- 1 results in Mathlib
- Foundations
- Depth 141 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- Polynomialstatement and proof · cited by 5,681
- IsScalarTowerstatement and proof · cited by 3,896
- FiniteDimensionalproof · cited by 1,854
- Algebra.IsAlgebraicstatement and proof · cited by 322
- Polynomial.IsSplittingFieldstatement and proof · cited by 50
- Algebra.IsAlgebraic.transproof · cited by 12
- Polynomial.IsSplittingField.finiteDimensionalproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- spectralNorm.spectralNorm_eq_norm_coeff_zero_rpowproof · cited by 0