Theorems · Theorem · number theory
NumberField.isFinitePlace_iff
∀ {K : Type u_1} [inst : Field K] [inst_1 : NumberField K] (v : AbsoluteValue K ℝ),
NumberField.IsFinitePlace v ↔ ∃ w, ↑w = v- Cited by
- 0 results in Mathlib
- Foundations
- Depth 190 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldNumberField
Around this declaration
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Fieldstatement and proof · cited by 7,404
- NumberFieldstatement and proof · cited by 653
- NumberField.RingOfIntegersstatement · cited by 413
- AbsoluteValuestatement and proof · cited by 363
- IsDedekindDomain.HeightOneSpectrumstatement · cited by 338
- IsDedekindDomain.HeightOneSpectrum.adicCompletionstatement · cited by 93
- NumberField.placestatement · cited by 71
- NumberField.FinitePlacestatement and proof · cited by 35
- NumberField.FinitePlace.embeddingstatement · cited by 24
- NumberField.IsFinitePlacestatement and proof · cited by 3
- NumberField.FinitePlace.isFinitePlaceproof · cited by 1
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