Theorems · Theorem · field theory

IsPurelyInseparable.minpoly_eq

∀ (K : Type u_2) {L : Type u_3} [inst : Field K] [inst_1 : Field L] [inst_2 : Algebra K L]
  [inst_3 : IsPurelyInseparable K L] (a : L),
  minpoly K a =
    Polynomial.X ^ ringExpChar K ^ IsPurelyInseparable.elemExponent K a -
      Polynomial.C (IsPurelyInseparable.elemReduct K a)

Defined in

Mathlib.FieldTheory.PurelyInseparable.Exponent

Cited by

3 results in Mathlib

Foundations

Depth 193 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldFieldAlgebraIsPurelyInseparable