Theorems · Theorem · number theory
IsCyclotomicExtension.Rat.isTotallyComplex
∀ {n : ℕ} [NeZero n] (K : Type u) [inst : Field K] [inst_1 : CharZero K] [IsCyclotomicExtension {n} ℚ K],
2 < n → NumberField.IsTotallyComplex K- Cited by
- 1 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.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Fieldstatement and proof · cited by 7,404
- CharZerostatement and proof · cited by 932
- NumberFieldproof · cited by 653
- IsCyclotomicExtensionstatement and proof · cited by 220
- NumberField.IsTotallyComplexstatement · cited by 19
- IsCyclotomicExtension.numberFieldproof · cited by 19
- NumberField.nrRealPlaces_eq_zero_iffproof · cited by 3
- IsCyclotomicExtension.Rat.nrRealPlaces_eq_zeroproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- IsCyclotomicExtension.Rat.isCMFieldproof · cited by 0