Theorems · Theorem · number theory
NumberField.InfinitePlace.isUnramified_iff_stabilizer_eq_bot
∀ {k : Type u_1} [inst : Field k] {K : Type u_2} [inst_1 : Field K] [inst_2 : Algebra k K]
{w : NumberField.InfinitePlace K} [IsGalois k K],
NumberField.InfinitePlace.IsUnramified k w ↔ MulAction.stabilizer Gal(K/k) w = ⊥- Cited by
- 1 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.
Cites14
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
- Bot.botstatement and proof · cited by 4,720
- Subgroupstatement · cited by 3,593
- AlgEquivstatement and proof · cited by 1,681
- NumberField.InfinitePlacestatement and proof · cited by 604
- MulAction.stabilizerstatement and proof · cited by 254
- IsGaloisstatement and proof · cited by 149
- NumberField.InfinitePlace.embeddingproof · cited by 78
- NumberField.InfinitePlace.mkproof · cited by 56
- NumberField.InfinitePlace.IsUnramifiedstatement and proof · cited by 35
- NumberField.InfinitePlace.mk_embeddingproof · cited by 25
Cited by1
Results whose statement or proof uses this declaration.
- NumberField.InfinitePlace.isUnramified_iff_card_stabilizer_eq_oneproof · cited by 2