Theorems · Theorem · field theory
IntermediateField.fg_of_fg_toSubalgebra
∀ {F : Type u_1} [inst : Field F] {E : Type u_2} [inst_1 : Field E] [inst_2 : Algebra F E] (S : IntermediateField F E),
S.FG → S.FG- Cited by
- 1 results in Mathlib
- Foundations
- Depth 82 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.
- Finsetproof · cited by 13,712
- Algebrastatement and proof · cited by 11,388
- SetLike.coeproof · cited by 8,199
- Fieldstatement and proof · cited by 7,404
- IntermediateFieldstatement and proof · cited by 988
- Algebra.adjoinproof · cited by 535
- IntermediateField.toSubalgebrastatement and proof · cited by 134
- Subalgebra.FGstatement and proof · cited by 45
- IntermediateField.FGstatement · cited by 17
- IntermediateField.eq_adjoin_of_eq_algebra_adjoinproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- IntermediateField.fg_of_noetherianproof · cited by 1