Theorems · Theorem · number theory
NumberField.ComplexEmbedding.IsConj.coe_stabilizer_mk
∀ {k : Type u_1} [inst : Field k] {K : Type u_2} [inst_1 : Field K] [inst_2 : Algebra k K] {σ : Gal(K/k)} {φ : K →+* ℂ},
NumberField.ComplexEmbedding.IsConj φ σ → ↑(MulAction.stabilizer Gal(K/k) (NumberField.InfinitePlace.mk φ)) = {1, σ}- Cited by
- 1 results in Mathlib
- Foundations
- Depth 170 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Algebrastatement and proof · cited by 11,388
- RingHomstatement and proof · cited by 10,189
- SetLike.coestatement · cited by 8,199
- Fieldstatement and proof · cited by 7,404
- Complexstatement and proof · cited by 5,565
- Subgroupstatement · cited by 3,593
- Set.extproof · cited by 2,266
- AlgEquivstatement and proof · cited by 1,681
- NumberField.InfinitePlacestatement · cited by 604
- SetLike.mem_coeproof · cited by 302
- MulAction.stabilizerstatement · cited by 254
Cited by1
Results whose statement or proof uses this declaration.
- NumberField.InfinitePlace.nat_card_stabilizer_eq_one_or_twoproof · cited by 1