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Theorems · Theorem · field theory

IntermediateField.fg_adjoin_of_finite

∀ {F : Type u_1} [inst : Field F] {E : Type u_2} [inst_1 : Field E] [inst_2 : Algebra F E] {t : Set E},
  t.Finite → (IntermediateField.adjoin F t).FG
Defined in
Mathlib.FieldTheory.IntermediateField.Adjoin.Defs
Cited by
2 results in Mathlib
Foundations
Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldFieldAlgebra
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Around this declaration

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

finTrdeg_iff_trdeg · cited by 4finTrdeg_iff_trdegIntermediateField.fg_iSup · cited by 0IntermediateField.fg_iSupSet · cited by 53352SetAlgebra · cited by 11388AlgebraField · cited by 7404FieldSet.Finite · cited by 1814Set.FiniteIntermediateField.adjoin · cited by 382IntermediateField.adjoinIntermediateField.FG · cited by 17IntermediateField.FGIntermediateField.fg_def · cited by 1IntermediateField.fg_defIntermediateField.fg_adjoin_o…CITED BYCITES

Cites7

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Cited by2

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