Theorems · Theorem · field theory
IntermediateField.fg_of_noetherian
∀ {F : Type u_1} [inst : Field F] {E : Type u_2} [inst_1 : Field E] [inst_2 : Algebra F E] (S : IntermediateField F E)
[IsNoetherian F E], S.FG- Cited by
- 1 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- IntermediateFieldstatement and proof · cited by 988
- IsNoetherianstatement and proof · cited by 208
- IntermediateField.toSubalgebraproof · cited by 134
- IntermediateField.FGstatement · cited by 17
- Subalgebra.fg_of_noetherianproof · cited by 2
- IntermediateField.fg_of_fg_toSubalgebraproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- IntermediateField.induction_on_adjoinproof · cited by 4