Theorems · Definition · number theory
NumberField.InfiniteAdeleRing
(K : Type u_1) → [Field K] → Type u_1
The infinite adele ring of a number field.
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 139 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fieldstatement and proof · cited by 7,404
- NumberField.InfinitePlaceproof · cited by 604
- NumberField.InfinitePlace.Completionproof · cited by 69
Cited by12
Results whose statement or proof uses this declaration.
- NumberField.AdeleRingproof · cited by 3
- NumberField.InfiniteAdeleRing.ringEquiv_mixedSpacestatement · cited by 2
- NumberField.InfiniteAdeleRing.algebraMap_applystatement · cited by 0
- NumberField.InfiniteAdeleRing.coe_norm_eq_abs_normstatement · cited by 0
- NumberField.InfiniteAdeleRing.denseRange_algebraMapstatement · cited by 0
- NumberField.InfiniteAdeleRing.mixedEmbedding_eq_algebraMap_compstatement · cited by 0
- NumberField.InfiniteAdeleRing.norm_defstatement and proof · cited by 0
- NumberField.InfiniteAdeleRing.norm_eq_zero_of_not_isUnitstatement and proof · cited by 0
- NumberField.AdeleRing.algebraMap_fst_applystatement · cited by 0
- NumberField.AdeleRing.algebraMap_snd_applystatement · cited by 0
- NumberField.InfiniteAdeleRing.ringEquiv_mixedSpace_applystatement and proof · cited by 0
- NumberField.AdeleRing.algebraMap_injectiveproof · cited by 0