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Theorems · Definition · number theory

NumberField.IsTotallyReal.casesOn

{K : Type u_1} →
  [inst : Field K] →
    {motive : NumberField.IsTotallyReal K → Sort u} →
      (t : NumberField.IsTotallyReal K) →
        ((isReal : ∀ (v : NumberField.InfinitePlace K), v.IsReal) → motive ⋯) → motive t
Defined in
Mathlib.NumberTheory.NumberField.InfinitePlace.TotallyRealComplex
Cited by
1 results in Mathlib
Foundations
Depth 142 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.isTotallyReal_iff · cited by 0NumberField.isTotallyReal…Field · cited by 7404FieldNumberField.InfinitePlace · cited by 604NumberField.InfinitePlaceNumberField.InfinitePlace.IsReal · cited by 301InfinitePlace.IsRealNumberField.IsTotallyReal · cited by 21NumberField.IsTotallyRealIsTotallyReal.casesOnCITED BYCITES

Cites4

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Cited by1

Results whose statement or proof uses this declaration.