Theorems · Theorem · number theory

Ideal.inertiaDegIn_ne_zero

∀ {A : Type u_1} {B : Type u_2} [inst : CommRing A] [inst_1 : CommRing B] [inst_2 : Algebra A B] (G : Type u_3)
  [inst_3 : Group G] [Finite G] [inst_5 : MulSemiringAction G B] [IsGaloisGroup G A B] [Module.Finite A B]
  [FaithfulSMul A B] {p : Ideal A} [p.IsPrime], p.inertiaDegIn B ≠ 0

Defined in

Mathlib.NumberTheory.RamificationInertia.Galois

Cited by

1 results in Mathlib

Foundations

Depth 132 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingAlgebraGroupFiniteMulSemiringActionIsGaloisGroupModule.FiniteFaithfulSMulIdeal.IsPrime