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Theorems · Definition · number theory

NumberField.InfinitePlace.Completion.casesOn

{K : Type u_1} →
  [inst : Field K] →
    {v : NumberField.InfinitePlace K} →
      {motive : v.Completion → Sort u} →
        (t : v.Completion) → ((toCompletion : (↑v).Completion) → motive { toCompletion := toCompletion }) → motive t
Defined in
Mathlib.NumberTheory.NumberField.Completion.InfinitePlace
Cited by
1 results in Mathlib
Foundations
Depth 141 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Field
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

NumberField.InfinitePlace.Completion.ext · cited by 8Completion.extNumberField.InfinitePlace.Completion.noConfusionType · cited by 0Completion.noConfusionTypeNumberField.InfinitePlace.Completion.noConfusion · cited by 0Completion.noConfusionReal · cited by 25697RealRingHom · cited by 10189RingHomField · cited by 7404FieldComplex · cited by 5565ComplexNumberField.InfinitePlace · cited by 604NumberField.InfinitePlaceAbsoluteValue · cited by 363AbsoluteValueNumberField.place · cited by 71NumberField.placeNumberField.InfinitePlace.Completion · cited by 69InfinitePlace.CompletionAbsoluteValue.Completion · cited by 24AbsoluteValue.CompletionCompletion.casesOnCITED BYCITES

Cites9

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Cited by3

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