Theorems · Definition · number theory
NumberField.InfinitePlace.Completion.toCompletion
{K : Type u_1} → [inst : Field K] → {v : NumberField.InfinitePlace K} → v.Completion → (↑v).CompletionThe underlying element of v.1.Completion.
- Cited by
- 20 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.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- RingHomstatement · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Complexstatement · cited by 5,565
- NumberField.InfinitePlacestatement and proof · cited by 604
- AbsoluteValuestatement · cited by 363
- NumberField.placestatement · cited by 71
- NumberField.InfinitePlace.Completionstatement and proof · cited by 69
- AbsoluteValue.Completionstatement · cited by 24
Cited by21
Results whose statement or proof uses this declaration.
- NumberField.InfinitePlace.Completion.extstatement and proof · cited by 8
- NumberField.InfinitePlace.Completion.equivCompletionproof · cited by 4
- NumberField.InfinitePlace.Completion.induction_onproof · cited by 3
- NumberField.InfinitePlace.Completion.isometry_toCompletionstatement · cited by 3
- NumberField.InfinitePlace.inertiaDeg_eq_finrankproof · cited by 2
- NumberField.InfinitePlace.Completion.algebraMap_toCompletionstatement · cited by 1
- NumberField.InfinitePlace.Completion.continuous_toCompletionstatement · cited by 1
- NumberField.InfinitePlace.Completion.algebraMap_eq_coeproof · cited by 1
- NumberField.InfinitePlace.Completion.toCompletion_addstatement · cited by 0
- NumberField.InfinitePlace.Completion.toCompletion_mulstatement · cited by 0
- NumberField.InfinitePlace.Completion.toCompletion_ofCompletionstatement · cited by 0
- NumberField.InfinitePlace.Completion.toCompletion_onestatement · cited by 0