Theorems · Theorem · field theory
Algebra.IsSeparable.insepDegree_eq
∀ (F : Type u) (E : Type v) [inst : Field F] [inst_1 : Field E] [inst_2 : Algebra F E] [Algebra.IsSeparable F E], Field.insepDegree F E = 1
A separable extension has inseparable degree one.
- Defined in
- Mathlib.FieldTheory.SeparableClosure
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 196 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
- Fieldstatement and proof · cited by 7,404
- Cardinalstatement and proof · cited by 2,598
- IntermediateFieldproof · cited by 988
- Module.rankproof · cited by 496
- Algebra.IsSeparablestatement and proof · cited by 210
- Field.insepDegreestatement · cited by 23
- separableClosure.eq_top_iffproof · cited by 6
- IntermediateField.rank_topproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Algebra.IsSeparable.finInsepDegree_eqproof · cited by 0