Theorems · Theorem · number theory
NumberField.FinitePlace.IsDedekindDomain.HeightOneSpectrum.equivHeightOneSpectrum_symm_apply
Deprecated since 2026-03-11Use NumberField.FinitePlace.equivHeightOneSpectrum_symm_apply instead.
∀ {K : Type u_1} [inst : Field K] [inst_1 : NumberField K]
(v : IsDedekindDomain.HeightOneSpectrum (NumberField.RingOfIntegers K)) (x : K),
(NumberField.FinitePlace.equivHeightOneSpectrum.symm v) x = ‖(NumberField.FinitePlace.embedding v) x‖Alias of NumberField.FinitePlace.equivHeightOneSpectrum_symm_apply.
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- Foundations
- Depth 195 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldNumberField
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Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Realstatement · cited by 25,697
- RingHomstatement · cited by 10,189
- Equivstatement · cited by 8,337
- Fieldstatement · cited by 7,404
- Norm.normstatement · cited by 5,413
- Equiv.symmstatement · cited by 3,681
- NumberFieldstatement · cited by 653
- NumberField.RingOfIntegersstatement · cited by 413
- IsDedekindDomain.HeightOneSpectrumstatement · cited by 338
- IsDedekindDomain.HeightOneSpectrum.adicCompletionstatement · cited by 93
- NumberField.FinitePlacestatement · cited by 35
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