Theorems · Theorem · number theory
NumberField.InfinitePlace.isUnramifiedIn_comap
∀ {k : Type u_1} [inst : Field k] {K : Type u_2} [inst_1 : Field K] [inst_2 : Algebra k K] [IsGalois k K]
{w : NumberField.InfinitePlace K},
NumberField.InfinitePlace.IsUnramifiedIn K (w.comap (algebraMap k K)) ↔ NumberField.InfinitePlace.IsUnramified k w- Cited by
- 4 results in Mathlib
- Foundations
- Depth 178 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- AlgEquivproof · cited by 1,681
- NumberField.InfinitePlacestatement and proof · cited by 604
- IsGaloisstatement and proof · cited by 149
- NumberField.InfinitePlace.comapstatement and proof · cited by 55
- NumberField.InfinitePlace.IsUnramifiedstatement and proof · cited by 35
- NumberField.InfinitePlace.IsUnramifiedInstatement and proof · cited by 8
- NumberField.InfinitePlace.exists_smul_eq_of_comap_eqproof · cited by 2
- NumberField.InfinitePlace.isUnramified_smul_iffproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- NumberField.InfinitePlace.card_isUnramifiedproof · cited by 1
- NumberField.InfinitePlace.card_isUnramified_complproof · cited by 1
- NumberField.InfinitePlace.even_card_aut_of_not_isUnramifiedInproof · cited by 0
- NumberField.InfinitePlace.even_finrank_of_not_isUnramifiedInproof · cited by 0