Theorems · Definition · number theory
NumberField.InfinitePlace.comap
{k : Type u_1} →
[inst : Field k] →
{K : Type u_2} → [inst_1 : Field K] → NumberField.InfinitePlace K → (k →+* K) → NumberField.InfinitePlace kThe restriction of an infinite place along an embedding.
- Cited by
- 55 results in Mathlib
- Foundations
- Depth 142 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.
- RingHomstatement and proof · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- NumberField.InfinitePlacestatement and proof · cited by 604
- AbsoluteValue.compproof · cited by 3
Cited by59
Results whose statement or proof uses this declaration.
- NumberField.InfinitePlace.IsUnramifiedproof · cited by 35
- NumberField.InfinitePlace.comap_mkstatement · cited by 12
- NumberField.InfinitePlace.isRamified_iffstatement · cited by 9
- NumberField.InfinitePlace.LiesOver.comap_eqstatement and proof · cited by 9
- NumberField.InfinitePlace.IsUnramifiedInproof · cited by 8
- NumberField.InfinitePlace.comap_surjectivestatement · cited by 8
- NumberField.InfinitePlace.isUnramified_iffstatement and proof · cited by 6
- NumberField.InfinitePlace.comap_embedding_of_isRealstatement and proof · cited by 4
- NumberField.InfinitePlace.IsReal.comapstatement and proof · cited by 4
- NumberField.InfinitePlace.isUnramifiedIn_comapstatement and proof · cited by 4
- NumberField.InfinitePlace.not_isUnramified_iffstatement and proof · cited by 4
- NumberField.IsCMField.equivInfinitePlaceproof · cited by 4