Theorems · Theorem · number theory
NumberField.FinitePlace.mk_apply
∀ {K : Type u_1} [inst : Field K] [inst_1 : NumberField K]
(v : IsDedekindDomain.HeightOneSpectrum (NumberField.RingOfIntegers K)) (x : K),
(NumberField.FinitePlace.mk v) x = ‖(NumberField.FinitePlace.embedding v) x‖- Cited by
- 1 results in Mathlib
- Foundations
- Depth 191 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldNumberField
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- Fieldstatement and proof · cited by 7,404
- Norm.normstatement · cited by 5,413
- NumberFieldstatement and proof · cited by 653
- NumberField.RingOfIntegersstatement and proof · cited by 413
- IsDedekindDomain.HeightOneSpectrumstatement and proof · cited by 338
- IsDedekindDomain.HeightOneSpectrum.adicCompletionstatement · cited by 93
- NumberField.FinitePlacestatement · cited by 35
- NumberField.FinitePlace.embeddingstatement · cited by 24
- NumberField.FinitePlace.mkstatement · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- NumberField.FinitePlace.norm_embedding_eqproof · cited by 2