Theorems · Definition · number theory
NumberField.mixedEmbedding.commMap
(K : Type u_1) → [inst : Field K] → ((K →+* ℂ) → ℂ) →ₗ[ℝ] NumberField.mixedEmbedding.mixedSpace K
The linear map that makes canonicalEmbedding and mixedEmbedding commute, see
commMap_canonical_eq_mixed.
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 167 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.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- RingHom.idstatement · cited by 18,349
- LinearMapstatement · cited by 10,215
- RingHomstatement and proof · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Complexstatement and proof · cited by 5,565
- Complex.reproof · cited by 882
- NumberField.InfinitePlacestatement and proof · cited by 604
- NumberField.InfinitePlace.IsRealstatement and proof · cited by 301
- NumberField.InfinitePlace.IsComplexstatement and proof · cited by 272
- NumberField.mixedEmbedding.mixedSpacestatement · cited by 239
- NumberField.InfinitePlace.embeddingproof · cited by 78
Cited by8
Results whose statement or proof uses this declaration.
- NumberField.mixedEmbedding.latticeBasisproof · cited by 11
- NumberField.mixedEmbedding.volume_fundamentalDomain_latticeBasisproof · cited by 4
- NumberField.mixedEmbedding.latticeBasis_applyproof · cited by 4
- NumberField.mixedEmbedding.commMap_canonical_eq_mixedstatement · cited by 2
- NumberField.mixedEmbedding.stdBasis_repr_eq_matrixToStdBasis_mulstatement · cited by 1
- NumberField.mixedEmbedding.commMap_apply_of_isComplexstatement · cited by 1
- NumberField.mixedEmbedding.commMap_apply_of_isRealstatement · cited by 1
- NumberField.mixedEmbedding.disjoint_span_commMap_kerstatement and proof · cited by 0