Theorems · Theorem · field theory
Polynomial.IsSplittingField.finiteDimensional
∀ {K : Type v} (L : Type w) [inst : Field K] [inst_1 : Field L] [inst_2 : Algebra K L] (f : Polynomial K)
[Polynomial.IsSplittingField K L f], FiniteDimensional K L- Cited by
- 3 results in Mathlib
- Foundations
- Depth 136 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- Polynomialstatement and proof · cited by 5,681
- FiniteDimensionalstatement · cited by 1,854
- IsIntegralproof · cited by 427
- Multiset.toFinsetproof · cited by 230
- Finset.finite_toSetproof · cited by 210
- Polynomial.rootSetproof · cited by 101
- Polynomial.arootsproof · cited by 89
- Polynomial.IsSplittingFieldstatement and proof · cited by 50
- IsAlgebraic.isIntegralproof · cited by 25
Cited by3
Results whose statement or proof uses this declaration.
- Polynomial.IsSplittingField.IsScalarTower.isAlgebraicproof · cited by 1
- finrank_of_isSplittingField_X_pow_sub_Cproof · cited by 0
- Normal.of_isSplittingFieldproof · cited by 0