Theorems · Definition · number theory
NumberField.mixedEmbedding
(K : Type u_1) → [inst : Field K] → K →+* NumberField.mixedEmbedding.mixedSpace K
The mixed embedding of a number field K into the mixed space of K.
- Cited by
- 52 results in Mathlib
- Foundations
- Depth 173 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
- RingHomstatement · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Complexstatement · cited by 5,565
- 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
- RingHom.piproof · cited by 26
- NumberField.InfinitePlace.embedding_of_isRealproof · cited by 12
- RingHom.prodproof · cited by 8
Cited by56
Results whose statement or proof uses this declaration.
- NumberField.mixedEmbedding.fractionalIdealLatticeBasisproof · cited by 11
- NumberField.mixedEmbedding.normAtPlace_applystatement · cited by 8
- NumberField.mixedEmbedding.norm_eq_normstatement · cited by 7
- NumberField.mixedEmbedding.unitSMul_smulstatement · cited by 6
- NumberField.mixedEmbedding.idealLatticeproof · cited by 6
- NumberField.mixedEmbedding_injectivestatement and proof · cited by 6
- NumberField.mixedEmbedding.fundamentalCone.completeFamilyproof · cited by 5
- NumberField.mixedEmbedding.fundamentalCone.mixedEmbedding_preimageOfMemIntegerSetstatement and proof · cited by 5
- NumberField.mixedEmbedding.integerLatticeproof · cited by 5
- NumberField.mixedEmbedding.fundamentalCone.mem_integerSetstatement and proof · cited by 4
- NumberField.mixedEmbedding.latticeBasis_applystatement and proof · cited by 4
- NumberField.mixedEmbedding.normAtAllPlaces_mixedEmbeddingstatement and proof · cited by 4