Theorems · Definition · number theory
NumberField.InfinitePlace.IsUnramified
(k : Type u_1) →
[inst : Field k] → {K : Type u_2} → [inst_1 : Field K] → [Algebra k K] → NumberField.InfinitePlace K → PropAn infinite place is unramified in a field extension if the restriction has the same multiplicity.
- Cited by
- 35 results in Mathlib
- Foundations
- Depth 143 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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.InfinitePlacestatement and proof · cited by 604
- NumberField.InfinitePlace.multproof · cited by 107
- NumberField.InfinitePlace.comapproof · cited by 55
Cited by40
Results whose statement or proof uses this declaration.
- NumberField.InfinitePlace.IsRamifiedproof · cited by 18
- NumberField.InfinitePlace.IsUnramifiedInproof · cited by 8
- NumberField.InfinitePlace.unramifiedPlacesOverproof · cited by 7
- NumberField.InfinitePlace.isUnramified_iffstatement · cited by 6
- IsUnramifiedAtInfinitePlaces.isUnramifiedstatement · cited by 4
- NumberField.InfinitePlace.not_isUnramified_iffstatement · cited by 4
- NumberField.InfinitePlace.isUnramifiedIn_comapstatement and proof · cited by 4
- NumberField.InfinitePlace.not_isUnramified_iff_card_stabilizer_eq_twostatement · cited by 3
- NumberField.InfinitePlace.even_card_aut_of_not_isUnramifiedstatement and proof · cited by 3
- NumberField.InfinitePlace.IsUnramified.eqstatement and proof · cited by 3
- NumberField.InfinitePlace.IsUnramified.finrank_eq_onestatement and proof · cited by 3
- NumberField.InfinitePlace.card_stabilizerstatement and proof · cited by 2