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Theorems · Theorem · field theory

Field.finSepDegree_dvd_finrank

∀ (F : Type u) (E : Type v) [inst : Field F] [inst_1 : Field E] [inst_2 : Algebra F E],
  Field.finSepDegree F E ∣ Module.finrank F E

The separable degree of any field extension E / F divides the degree of E / F.

Defined in
Mathlib.FieldTheory.SeparableDegree
Cited by
1 results in Mathlib
Foundations
Depth 185 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldFieldAlgebra

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