Theorems · Definition · number theory
NumberField.InfinitePlace.embedding
{K : Type u_1} → [inst : Field K] → NumberField.InfinitePlace K → K →+* ℂFor an infinite place w, return an embedding φ such that w = infinite_place φ .
- Cited by
- 78 results in Mathlib
- Foundations
- Depth 139 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHomstatement · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Complexstatement · cited by 5,565
- NumberField.InfinitePlacestatement and proof · cited by 604
Cited by81
Results whose statement or proof uses this declaration.
- NumberField.mixedEmbeddingproof · cited by 52
- NumberField.InfinitePlace.mk_embeddingstatement · cited by 25
- NumberField.InfinitePlace.not_isReal_iff_isComplexproof · cited by 25
- NumberField.InfinitePlace.isReal_iffstatement and proof · cited by 13
- NumberField.InfinitePlace.norm_embedding_eqstatement and proof · cited by 10
- NumberField.mixedEmbedding.normAtPlace_applyproof · cited by 8
- NumberField.InfinitePlace.comap_surjectiveproof · cited by 8
- NumberField.InfinitePlace.embedding_mk_eqstatement and proof · cited by 7
- NumberField.InfinitePlace.isComplex_iffstatement and proof · cited by 7
- NumberField.mixedEmbedding.commMapproof · cited by 7
- NumberField.mixedEmbedding.indexEquivproof · cited by 6
- NumberField.InfinitePlace.Completion.extensionEmbedding_coestatement · cited by 5