Theorems · Theorem · number theory
NumberField.InfinitePlace.isUnramified_iff
∀ {k : Type u_1} [inst : Field k] {K : Type u_2} [inst_1 : Field K] [inst_2 : Algebra k K]
{w : NumberField.InfinitePlace K},
NumberField.InfinitePlace.IsUnramified k w ↔ w.IsReal ∨ (w.comap (algebraMap k K)).IsComplex- Cited by
- 6 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.
Cites12
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.algebraMapstatement and proof · cited by 4,706
- NumberField.InfinitePlacestatement and proof · cited by 604
- NumberField.InfinitePlace.IsRealstatement and proof · cited by 301
- NumberField.InfinitePlace.IsComplexstatement and proof · cited by 272
- not_iff_notproof · cited by 159
- NumberField.InfinitePlace.comapstatement and proof · cited by 55
- NumberField.InfinitePlace.IsUnramifiedstatement · cited by 35
- NumberField.InfinitePlace.not_isReal_iff_isComplexproof · cited by 25
- NumberField.InfinitePlace.not_isComplex_iff_isRealproof · cited by 5
- NumberField.InfinitePlace.not_isUnramified_iffproof · cited by 4
Cited by6
Results whose statement or proof uses this declaration.
- NumberField.InfinitePlace.isUnramified_mk_iff_isUnmixedproof · cited by 1
- NumberField.InfinitePlace.isUnramified_smul_iffproof · cited by 1
- NumberField.InfinitePlace.IsUnramified.isUnmixedproof · cited by 1
- NumberField.InfinitePlace.IsUnramified.isUnmixed_conjugateproof · cited by 1
- NumberField.InfinitePlace.IsUnramified.liesOver_isReal_overproof · cited by 1
- NumberField.InfinitePlace.IsReal.isUnramifiedproof · cited by 0