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Theorems · Theorem · number theory

NumberField.FinitePlace.maximalIdeal_mk

∀ {K : Type u_1} [inst : Field K] [inst_1 : NumberField K]
  (v : IsDedekindDomain.HeightOneSpectrum (NumberField.RingOfIntegers K)),
  (NumberField.FinitePlace.mk v).maximalIdeal = v
Defined in
Mathlib.NumberTheory.NumberField.Completion.FinitePlace
Cited by
0 results in Mathlib
Foundations
Depth 192 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldNumberField
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Around this declaration

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

NumberField.FinitePlace.equivHeightOneSpectrum · cited by 7FinitePlace.equivHeightOn…Field · cited by 7404FieldNumberField · cited by 653NumberFieldNumberField.RingOfIntegers · cited by 413NumberField.RingOfIntegersIsDedekindDomain.HeightOneSpectrum · cited by 338IsDedekindDomain.HeightOn…NumberField.FinitePlace · cited by 35NumberField.FinitePlaceNumberField.FinitePlace.maximalIdeal · cited by 10FinitePlace.maximalIdealNumberField.FinitePlace.mk · cited by 4FinitePlace.mkNumberField.FinitePlace.mk_maximalIdeal · cited by 2FinitePlace.mk_maximalIde…NumberField.FinitePlace.mk_eq_iff · cited by 1FinitePlace.mk_eq_iffFinitePlace.maximalIdeal_mkCITED BYCITES

Cites9

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Cited by1

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