Theorems · Theorem · number theory

RingOfIntegers.norm_norm

∀ {L : Type u_1} (K : Type u_2) [inst : Field K] [inst_1 : Field L] [inst_2 : Algebra K L] (F : Type u_3)
  [inst_3 : Field F] [inst_4 : Algebra K F] [FiniteDimensional K F] [inst_6 : Algebra F L] [FiniteDimensional F L]
  [IsScalarTower K F L] (x : NumberField.RingOfIntegers L),
  (RingOfIntegers.norm K) ((RingOfIntegers.norm F) x) = (RingOfIntegers.norm K) x

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

FieldFieldAlgebraFieldAlgebraFiniteDimensionalAlgebraFiniteDimensionalIsScalarTower