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Theorems · Definition · number theory

NumberField.FinitePlace.mk

{K : Type u_1} →
  [inst : Field K] →
    [inst_1 : NumberField K] →
      IsDedekindDomain.HeightOneSpectrum (NumberField.RingOfIntegers K) → NumberField.FinitePlace K

Return the finite place defined by a maximal ideal v.

Defined in
Mathlib.NumberTheory.NumberField.Completion.FinitePlace
Cited by
4 results in Mathlib
Foundations
Depth 189 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldNumberField
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

NumberField.FinitePlace.equivHeightOneSpectrum · cited by 7FinitePlace.equivHeightOn…NumberField.FinitePlace.mk_maximalIdeal · cited by 2FinitePlace.mk_maximalIde…NumberField.FinitePlace.mk_apply · cited by 1FinitePlace.mk_applyNumberField.FinitePlace.mk_eq_iff · cited by 1FinitePlace.mk_eq_iffNumberField.FinitePlace.maximalIdeal_mk · cited by 0FinitePlace.maximalIdeal_…Field · cited by 7404FieldNumberField · cited by 653NumberFieldNumberField.RingOfIntegers · cited by 413NumberField.RingOfIntegersIsDedekindDomain.HeightOneSpectrum · cited by 338IsDedekindDomain.HeightOn…NumberField.place · cited by 71NumberField.placeNumberField.FinitePlace · cited by 35NumberField.FinitePlaceNumberField.FinitePlace.embedding · cited by 24FinitePlace.embeddingFinitePlace.mkCITED BYCITES

Cites7

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Cited by5

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