Theorems · Theorem · number theory
NumberField.IsTotallyReal.maximalRealSubfield_eq_top
∀ {K : Type u_2} [inst : Field K] [NumberField.IsTotallyReal K], NumberField.maximalRealSubfield K = ⊤- Cited by
- 1 results in Mathlib
- Foundations
- Depth 179 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement and proof · cited by 9,680
- Fieldstatement and proof · cited by 7,404
- Subfieldstatement · cited by 303
- top_uniqueproof · cited by 102
- NumberField.maximalRealSubfieldstatement · cited by 38
- NumberField.IsTotallyRealstatement and proof · cited by 21
- NumberField.IsTotallyReal.le_maximalRealSubfieldproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- NumberField.maximalRealSubfield_eq_top_iff_isTotallyRealproof · cited by 0