Theorems · Theorem · number theory
NumberField.isTotallyComplex_of_algebra
∀ (F : Type u_1) [inst : Field F] (K : Type u_2) [inst_1 : Field K] [Algebra F K] [NumberField.IsTotallyComplex F], NumberField.IsTotallyComplex K
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- Algebra.algebraMapproof · cited by 4,706
- NumberField.InfinitePlaceproof · cited by 604
- NumberField.InfinitePlace.comapproof · cited by 55
- NumberField.IsTotallyComplexstatement and proof · cited by 19
- NumberField.IsTotallyComplex.isComplexproof · cited by 5
- NumberField.InfinitePlace.IsComplex.of_comapproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- IsCyclotomicExtension.Rat.isCMFieldproof · cited by 0