Theorems · Theorem · field theory

IsPurelyInseparable.natSepDegree_eq_one

∀ (F : Type u) {E : Type v} [inst : Field F] [inst_1 : Field E] [inst_2 : Algebra F E] [IsPurelyInseparable F E]
  (x : E), (minpoly F x).natSepDegree = 1

Defined in: Mathlib.FieldTheory.PurelyInseparable.Basic
Cited by: 0 results in Mathlib
Foundations: Depth 187 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field Field Algebra IsPurelyInseparable

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Algebrastatement and proof · cited by 11,388
Fieldstatement and proof · cited by 7,404
minpolystatement · cited by 439
IsPurelyInseparablestatement and proof · cited by 84
Polynomial.natSepDegreestatement · cited by 53
isPurelyInseparable_iff_natSepDegree_eq_oneproof · cited by 1

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