Theorems · Theorem · number theory
NumberField.InfinitePlace.Completion.continuous_coe
∀ {K : Type u_1} [inst : Field K] (v : NumberField.InfinitePlace K), Continuous fun x => { toCompletion := ↑x }- Cited by
- 1 results in Mathlib
- Foundations
- Depth 185 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.
Cites14
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
- Continuousstatement · cited by 2,592
- NumberField.InfinitePlacestatement and proof · cited by 604
- Continuous.compproof · cited by 371
- AbsoluteValuestatement · cited by 363
- UniformSpace.Completion.coe'statement · cited by 144
- WithAbsstatement and proof · cited by 102
- NumberField.placestatement · cited by 71
- NumberField.InfinitePlace.Completionstatement · cited by 69
Cited by1
Results whose statement or proof uses this declaration.
- NumberField.InfiniteAdeleRing.denseRange_algebraMapproof · cited by 0