Theorems · Theorem · number theory

RingOfIntegers.norm_algebraMap

∀ {L : Type u_1} (K : Type u_2) [inst : Field K] [inst_1 : Field L] [inst_2 : Algebra K L]
  (x : NumberField.RingOfIntegers K),
  (RingOfIntegers.norm K) ((algebraMap (NumberField.RingOfIntegers K) (NumberField.RingOfIntegers L)) x) =
    x ^ Module.finrank K L

Defined in

Mathlib.NumberTheory.NumberField.Norm

Cited by

1 results in Mathlib

Foundations

Depth 184 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldFieldAlgebra