Theorems · Theorem · number theory
NumberField.InfinitePlace.IsUnramified.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}, NumberField.InfinitePlace.IsUnramified k w → MulAction.stabilizer Gal(K/k) w = ⊥- Cited by
- 0 results in Mathlib
- Foundations
- Depth 177 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- eq_bot_iffproof · cited by 159
- NumberField.InfinitePlace.embeddingproof · cited by 78
- SetLike.le_defproof · cited by 76
- NumberField.InfinitePlace.IsUnramifiedstatement and proof · cited by 35
- NumberField.InfinitePlace.mk_embeddingproof · cited by 25
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