Theorems · Theorem · field theory
IsGaloisGroup.finiteDimensional
∀ (G : Type u_1) (K : Type u_3) (L : Type u_4) [inst : Group G] [inst_1 : Field K] [inst_2 : Field L] [inst_3 : Algebra K L] [inst_4 : MulSemiringAction G L] [Finite G] [IsGaloisGroup G K L], FiniteDimensional K L
- Defined in
- Mathlib.FieldTheory.Galois.IsGaloisGroup
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 142 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Groupstatement and proof · cited by 6,238
- Finitestatement and proof · cited by 3,029
- FiniteDimensionalstatement · cited by 1,854
- MulSemiringActionstatement and proof · cited by 423
- IsGaloisGroupstatement and proof · cited by 96
- Nat.card_posproof · cited by 36
- IsGaloisGroup.card_eq_finrankproof · cited by 10
- FiniteDimensional.of_finrank_posproof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- IsGaloisGroup.intermediateFieldEquivSubgroupproof · cited by 6