Theorems · Theorem · number theory
NumberField.IsTotallyReal.le_maximalRealSubfield
∀ {K : Type u_2} [inst : Field K] (E : Subfield K) [NumberField.IsTotallyReal ↥E], E ≤ NumberField.maximalRealSubfield K- Cited by
- 3 results in Mathlib
- Foundations
- Depth 174 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- RingHomproof · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Complexproof · cited by 5,565
- Star.starproof · cited by 1,082
- RingHom.compproof · cited by 899
- Subfieldstatement and proof · cited by 303
- NumberField.InfinitePlace.mkproof · cited by 56
- NumberField.maximalRealSubfieldstatement · cited by 38
- RingHom.congr_funproof · cited by 29
- NumberField.IsTotallyRealstatement and proof · cited by 21
- Subfield.subtypeproof · cited by 16
Cited by3
Results whose statement or proof uses this declaration.
- NumberField.isTotallyReal_iff_le_maximalRealSubfieldproof · cited by 1
- NumberField.IsTotallyReal.maximalRealSubfield_eq_topproof · cited by 1
- NumberField.CMExtension.eq_maximalRealSubfieldproof · cited by 0