Theorems · Theorem · field theory
Algebra.IsSeparable.finInsepDegree_eq
∀ (F : Type u) (E : Type v) [inst : Field F] [inst_1 : Field E] [inst_2 : Algebra F E] [Algebra.IsSeparable F E], Field.finInsepDegree F E = 1
A separable extension has finite inseparable degree one.
- Defined in
- Mathlib.FieldTheory.SeparableClosure
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 197 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- Algebra.IsSeparablestatement and proof · cited by 210
- Cardinal.toNatproof · cited by 153
- Field.finInsepDegreestatement · cited by 15
- Cardinal.one_toNatproof · cited by 3
- Algebra.IsSeparable.insepDegree_eqproof · cited by 1
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