Theorems · Theorem · field theory
Field.insepDegree_top_le_insepDegree_of_isScalarTower
∀ (F : Type u) (E : Type v) [inst : Field F] [inst_1 : Field E] [inst_2 : Algebra F E] (K : Type v) [inst_3 : Field K] [inst_4 : Algebra F K] [inst_5 : Algebra E K] [IsScalarTower F E K], Field.insepDegree E K ≤ Field.insepDegree F K
- Defined in
- Mathlib.FieldTheory.SeparableClosure
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 195 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- IsScalarTowerstatement and proof · cited by 3,896
- Cardinalstatement · cited by 2,598
- AlgHom.toRingHomproof · cited by 490
- RingHom.toAlgebraproof · cited by 337
- IsScalarTower.of_algebraMap_eq'proof · cited by 101
- IntermediateField.restrictScalarsproof · cited by 66
- separableClosureproof · cited by 55
- IntermediateField.inclusionproof · cited by 32
- Field.insepDegreestatement · cited by 23
- separableClosure.le_restrictScalarsproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Field.insepDegree_le_of_left_leproof · cited by 0