Theorems · Theorem · number theory
NumberField.InfinitePlace.IsRamified.isMixed_embedding
∀ {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.IsRamified k w → NumberField.ComplexEmbedding.IsMixed k w.embedding- Cited by
- 2 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.
Cites12
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
- Algebra.algebraMapproof · cited by 4,706
- NumberField.InfinitePlacestatement and proof · cited by 604
- NumberField.InfinitePlace.embeddingstatement · cited by 78
- NumberField.InfinitePlace.IsRamifiedstatement and proof · cited by 18
- NumberField.InfinitePlace.isReal_iffproof · cited by 13
- NumberField.InfinitePlace.isComplex_iffproof · cited by 7
- NumberField.ComplexEmbedding.IsMixedstatement · cited by 4
- NumberField.InfinitePlace.comap_embedding_of_isRealproof · cited by 4
- NumberField.InfinitePlace.IsRamified.isComplexproof · cited by 3
- NumberField.InfinitePlace.IsRamified.isRealproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- NumberField.InfinitePlace.isRamified_mk_iff_isMixedproof · cited by 1
- NumberField.InfinitePlace.embedding_mem_mixedEmbeddingsOverproof · cited by 1