Theorems · Theorem · number theory
NumberField.InfinitePlace.isUnramified_mk_iff_isUnmixed
∀ {k : Type u_1} [inst : Field k] {K : Type u_2} [inst_1 : Field K] [inst_2 : Algebra k K] {φ : K →+* ℂ},
NumberField.InfinitePlace.IsUnramified k (NumberField.InfinitePlace.mk φ) ↔ NumberField.ComplexEmbedding.IsUnmixed k φ- 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.
Cites23
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
- RingHomstatement and proof · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Complexstatement and proof · cited by 5,565
- Algebra.algebraMapproof · cited by 4,706
- RingHom.compproof · cited by 899
- Iff.notproof · cited by 489
- NumberField.InfinitePlace.IsComplexproof · cited by 272
- star_starproof · cited by 135
- NumberField.InfinitePlace.embeddingproof · cited by 78
- NumberField.InfinitePlace.mkstatement and proof · cited by 56
- NumberField.InfinitePlace.comapproof · cited by 55
Cited by1
Results whose statement or proof uses this declaration.
- NumberField.ComplexEmbedding.IsUnmixed.mk_isUnramifiedproof · cited by 1