Theorems · Theorem · number theory
IsDedekindDomain.FiniteAdeleRing.unitEmbedding_apply
∀ (R : Type u_1) [inst : CommRing R] [inst_1 : IsDedekindDomain R] {K : Type u_2} [inst_2 : Field K]
[inst_3 : Algebra R K] [inst_4 : IsFractionRing R K] (k : Kˣ),
↑((IsDedekindDomain.FiniteAdeleRing.unitEmbedding R K) k) = (algebraMap K (IsDedekindDomain.FiniteAdeleRing R K)) ↑k- Cited by
- 0 results in Mathlib
- Foundations
- Depth 196 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- RingHomstatement · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Algebra.algebraMapstatement · cited by 4,706
- MonoidHomstatement · cited by 3,629
- Unitsstatement and proof · cited by 2,804
- Units.valstatement · cited by 1,966
- IsFractionRingstatement and proof · cited by 738
- IsDedekindDomainstatement and proof · cited by 668
- IsDedekindDomain.FiniteAdeleRingstatement · cited by 9
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