Theorems · Theorem · field theory

MvPolynomial.irreducible_toPolynomialAdjoinImageCompl

∀ {k : Type u_1} {K : Type u_2} {ι : Type u_3} [inst : Field k] [inst_1 : Field K] [inst_2 : Algebra k K] {a : ι → K}
  {F : MvPolynomial ι k},
  Irreducible F → ∀ (i : ι), (AlgebraicIndependent k fun x => a ↑x) → Irreducible (F.toPolynomialAdjoinImageCompl a i)

Defined in: Mathlib.FieldTheory.SeparablyGenerated
Cited by: 1 results in Mathlib
Foundations: Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field Field Algebra

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