Theorems · Theorem · number theory

NumberField.mixedEmbedding.covolume_idealLattice

∀ (K : Type u_1) [inst : Field K] [inst_1 : NumberField K]
  (I : (FractionalIdeal (nonZeroDivisors (NumberField.RingOfIntegers K)) K)ˣ),
  ZLattice.covolume (NumberField.mixedEmbedding.idealLattice K I) MeasureTheory.volume =
    ↑(FractionalIdeal.absNorm ↑I) * 2⁻¹ ^ NumberField.InfinitePlace.nrComplexPlaces K * √|↑(NumberField.discr K)|

Defined in: Mathlib.NumberTheory.NumberField.Discriminant.Basic
Cited by: 1 results in Mathlib
Foundations: Depth 315 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field NumberField

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Cited by1

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NumberField.Ideal.tendsto_norm_le_and_mk_eq_div_atTopproof · cited by 1