Theorems · Definition · field theory
finiteExts
(K : Type u_1) → [inst : Field K] → (L : Type u_2) → [inst_1 : Field L] → [inst_2 : Algebra K L] → Set (IntermediateField K L)
Given a field extension L/K, finiteExts K L is the set of
intermediate field extensions L/E/K such that E/K is finite.
- Defined in
- Mathlib.FieldTheory.KrullTopology
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- Set.ofPredproof · cited by 6,101
- FiniteDimensionalproof · cited by 1,854
- IntermediateFieldstatement and proof · cited by 988
Cited by4
Results whose statement or proof uses this declaration.
- fixedByFiniteproof · cited by 5
- krullTopology_mem_nhds_one_iffproof · cited by 2
- InfiniteGalois.isOpen_iff_finiteproof · cited by 1
- InfiniteGalois.fixingSubgroup_fixedFieldproof · cited by 0