Theorems · Theorem · field theory

FixedPoints.minpoly.irreducible_aux

∀ (G : Type u) [inst : Group G] (F : Type v) [inst_1 : Field F] [inst_2 : MulSemiringAction G F] [inst_3 : Fintype G]
  (x : F) (f g : Polynomial ↥(FixedPoints.subfield G F)),
  f.Monic → g.Monic → f * g = FixedPoints.minpoly G F x → f = 1 ∨ g = 1

Defined in

Mathlib.FieldTheory.Fixed

Cited by

1 results in Mathlib

Foundations

Depth 125 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

GroupFieldMulSemiringActionFintype