Theorems · Definition · number theory
NumberField.canonicalEmbedding
(K : Type u_1) → [inst : Field K] → K →+* (K →+* ℂ) → ℂ
The canonical embedding of a number field K of degree n into ℂ^n.
- Cited by
- 27 results in Mathlib
- Foundations
- Depth 104 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 and proof · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Complexstatement and proof · cited by 5,565
- RingHom.piproof · cited by 26
Cited by30
Results whose statement or proof uses this declaration.
- NumberField.houseproof · cited by 15
- NumberField.canonicalEmbedding.latticeBasisproof · cited by 7
- NumberField.canonicalEmbedding.latticeBasis_applystatement and proof · cited by 7
- NumberField.mixedEmbedding.latticeBasis_applyproof · cited by 4
- NumberField.mixedEmbedding.volume_fundamentalDomain_latticeBasisproof · cited by 4
- NumberField.house_eq_sup'proof · cited by 2
- NumberField.canonicalEmbedding.nnnorm_eqstatement and proof · cited by 2
- NumberField.basisMatrix_eq_embeddingsMatrixReindexproof · cited by 2
- NumberField.mixedEmbedding.commMap_canonical_eq_mixedstatement · cited by 2
- NumberField.house_nonnegproof · cited by 1
- NumberField.inverse_basisMatrix_mulVec_eq_reprstatement · cited by 1
- NumberField.canonicalEmbedding.apply_atstatement · cited by 1