Theorems · Theorem · field theory
IntermediateField.finSepDegree_top
∀ {F : Type u} (E : Type v) [inst : Field F] [inst_1 : Field E] [inst_2 : Algebra F E] (K : Type w) [inst_3 : Field K]
[inst_4 : Algebra F K] [inst_5 : Algebra E K] [inst_6 : IsScalarTower F E K],
Field.finSepDegree F ↥⊤ = Field.finSepDegree F K- Defined in
- Mathlib.FieldTheory.SeparableDegree
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 184 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Top.topstatement and proof · cited by 9,680
- Fieldstatement and proof · cited by 7,404
- IsScalarTowerstatement and proof · cited by 3,896
- IntermediateFieldstatement · cited by 988
- AlgEquiv.restrictScalarsproof · cited by 60
- IntermediateField.topEquivproof · cited by 24
- Field.finSepDegreestatement · cited by 24
- Field.finSepDegree_eq_of_equivproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Field.finSepDegree_eq_finrank_of_isSeparableproof · cited by 7
- Field.finSepDegree_dvd_finrankproof · cited by 1