Theorems · Theorem · field theory
IsSeparable.of_integral
∀ (F : Type u_1) [inst : Field F] {K : Type u_2} [inst_1 : Ring K] [inst_2 : Algebra F K] [IsDomain K]
[Algebra.IsIntegral F K] [CharZero F] (x : K), IsSeparable F x- Defined in
- Mathlib.FieldTheory.Separable
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 125 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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
- Ringstatement and proof · cited by 7,463
- Fieldstatement and proof · cited by 7,404
- IsDomainstatement and proof · cited by 2,196
- CharZerostatement and proof · cited by 932
- Algebra.IsIntegralstatement and proof · cited by 224
- Algebra.IsIntegral.isIntegralproof · cited by 86
- IsSeparablestatement · cited by 68
- minpoly.irreducibleproof · cited by 26
- Irreducible.separableproof · cited by 6
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