Theorems · Definition · number theory
NumberField.InfinitePlace.IsUnramifiedIn
{k : Type u_1} →
[inst : Field k] → (K : Type u_2) → [inst_1 : Field K] → [Algebra k K] → NumberField.InfinitePlace k → PropAn infinite place of the base field is unramified in a field extension if every infinite place over it is unramified.
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 144 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.comapproof · cited by 55
- NumberField.InfinitePlace.IsUnramifiedproof · cited by 35
Cited by8
Results whose statement or proof uses this declaration.
- NumberField.InfinitePlace.isUnramifiedIn_comapstatement and proof · cited by 4
- NumberField.InfinitePlace.card_eq_card_isUnramifiedInstatement and proof · cited by 1
- NumberField.InfinitePlace.card_isUnramifiedstatement and proof · cited by 1
- NumberField.InfinitePlace.card_isUnramified_complstatement and proof · cited by 1
- NumberField.InfinitePlace.isUnramifiedInstatement · cited by 1
- IsUnramifiedAtInfinitePlaces.card_infinitePlaceproof · cited by 0
- NumberField.InfinitePlace.even_card_aut_of_not_isUnramifiedInstatement and proof · cited by 0
- NumberField.InfinitePlace.even_finrank_of_not_isUnramifiedInstatement and proof · cited by 0