Theorems · Definition · number theory
NumberField.InfinitePlace.IsRamified
(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 ramified in a field extension if it is not unramified.
- Cited by
- 18 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.
Cites4
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
- NumberField.InfinitePlacestatement and proof · cited by 604
- NumberField.InfinitePlace.IsUnramifiedproof · cited by 35
Cited by19
Results whose statement or proof uses this declaration.
- NumberField.InfinitePlace.ramifiedPlacesOverproof · cited by 12
- NumberField.InfinitePlace.isRamified_iffstatement · cited by 9
- NumberField.InfinitePlace.IsRamified.finrank_eq_twostatement and proof · cited by 3
- NumberField.InfinitePlace.IsRamified.isComplexstatement and proof · cited by 3
- NumberField.InfinitePlace.IsRamified.isRealstatement and proof · cited by 3
- NumberField.InfinitePlace.IsRamified.comap_embedding_conjugatestatement and proof · cited by 2
- NumberField.InfinitePlace.IsRamified.isMixed_conjugate_embeddingstatement and proof · cited by 2
- NumberField.InfinitePlace.IsRamified.isMixed_embeddingstatement and proof · cited by 2
- NumberField.InfinitePlace.exists_isConj_of_isRamifiedstatement and proof · cited by 1
- NumberField.InfinitePlace.IsRamified.comap_embeddingstatement and proof · cited by 1
- NumberField.ComplexEmbedding.IsMixed.mk_isRamifiedstatement · cited by 1
- NumberField.InfinitePlace.IsRamified.ne_conjugatestatement and proof · cited by 1