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Theorems · Theorem · field theory

IntermediateField.fg_top

∀ (F : Type u_1) [inst : Field F] (E : Type u_2) [inst_1 : Field E] [inst_2 : Algebra F E] [Algebra.EssFiniteType F E],
  ⊤.FG
Defined in
Mathlib.FieldTheory.IntermediateField.Adjoin.Algebra
Cited by
3 results in Mathlib
Foundations
Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldFieldAlgebraAlgebra.EssFiniteType
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

IntermediateField.exists_finset_maximalFor_isTranscendenceBasis_separableClosure · cited by 1IntermediateField.exists_…Algebra.finite_of_essFiniteType_of_isAlgebraic · cited by 1Algebra.finite_of_essFini…exists_isTranscendenceBasis_and_isSeparable_of_perfectField · cited by 0exists_isTranscendenceBas…Algebra · cited by 11388AlgebraTop.top · cited by 9680Top.topField · cited by 7404FieldIntermediateField · cited by 988IntermediateFieldAlgebra.EssFiniteType · cited by 68Algebra.EssFiniteTypeIntermediateField.FG · cited by 17IntermediateField.FGIntermediateField.fg_top_iff · cited by 2IntermediateField.fg_top_…IntermediateField.fg_topCITED BYCITES

Cites7

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by3

Results whose statement or proof uses this declaration.