Theorems · Theorem · number theory

isInertiaField_iff

∀ (K : Type u_2) (L : Type u_3) {B : Type u_4} [inst : Field K] [inst_1 : Field L] [inst_2 : Algebra K L]
  [inst_3 : CommRing B] (P : Ideal B) (E : Type u_6) [inst_4 : Field E] [inst_5 : Algebra E L]
  [inst_6 : MulSemiringAction Gal(L/K) B], IsInertiaField K L P E ↔ IsGaloisGroup (↥(Ideal.inertia Gal(L/K) P)) E L

Defined in

Mathlib.NumberTheory.RamificationInertia.HilbertTheory

Cited by

1 results in Mathlib

Foundations

Depth 49 from the axioms · uses propext, Quot.sound

Assumes

FieldFieldAlgebraCommRingFieldAlgebraMulSemiringAction