Theorems · Theorem · number theory
NumberField.InfinitePlace.isUnramified_smul_iff
∀ {k : Type u_1} [inst : Field k] {K : Type u_2} [inst_1 : Field K] [inst_2 : Algebra k K] {σ : Gal(K/k)}
{w : NumberField.InfinitePlace K},
NumberField.InfinitePlace.IsUnramified k (σ • w) ↔ NumberField.InfinitePlace.IsUnramified k w- Cited by
- 1 results in Mathlib
- Foundations
- Depth 177 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.
- Algebrastatement and proof · cited by 11,388
- RingHomproof · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Algebra.algebraMapproof · cited by 4,706
- AlgEquivstatement and proof · cited by 1,681
- RingHom.compproof · cited by 899
- AlgEquiv.symmproof · cited by 615
- NumberField.InfinitePlacestatement and proof · cited by 604
- NumberField.InfinitePlace.IsRealproof · cited by 301
- AlgEquiv.toAlgHomproof · cited by 273
- NumberField.InfinitePlace.IsComplexproof · cited by 272
- AlgHom.comp_algebraMapproof · cited by 63
Cited by1
Results whose statement or proof uses this declaration.
- NumberField.InfinitePlace.isUnramifiedIn_comapproof · cited by 4