Theorems · Theorem · number theory
NumberField.InfinitePlace.Completion.ofCompletion.inj
∀ {K : Type u_1} {inst : Field K} {v : NumberField.InfinitePlace K} {toCompletion toCompletion_1 : (↑v).Completion},
{ toCompletion := toCompletion } = { toCompletion := toCompletion_1 } → toCompletion = toCompletion_1- Cited by
- 1 results in Mathlib
- Foundations
- Depth 145 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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 · cited by 69
- AbsoluteValue.Completionstatement and proof · cited by 24
- NumberField.InfinitePlace.Completion.ofCompletion.noConfusionproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- NumberField.InfinitePlace.Completion.ofCompletion.injEqproof · cited by 0