Theorems · Theorem · number theory

IsInertiaField.algebraMap_ringEquiv_symm_apply

∀ (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] (E' : Type u_9) [inst_7 : Field E'] [inst_8 : Algebra E' L]
  [inst_9 : IsInertiaField K L P E] [inst_10 : IsInertiaField K L P E'] (x : E'),
  (algebraMap E L) ((IsInertiaField.ringEquiv K L P E E').symm x) = (algebraMap E' L) x

Defined in

Mathlib.NumberTheory.RamificationInertia.HilbertTheory

Cited by

0 results in Mathlib

Foundations

Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldFieldAlgebraCommRingFieldAlgebraMulSemiringActionFieldAlgebraIsInertiaFieldIsInertiaField