Theorems · Definition · number theory
NumberField.mixedEmbedding.index
(K : Type u_1) → [Field K] → Type u_1
The type indexing the basis stdBasis.
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 140 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.
- Fieldstatement and proof · cited by 7,404
- NumberField.InfinitePlaceproof · cited by 604
- NumberField.InfinitePlace.IsRealproof · cited by 301
- NumberField.InfinitePlace.IsComplexproof · cited by 272
Cited by19
Results whose statement or proof uses this declaration.
- NumberField.mixedEmbedding.stdBasisstatement · cited by 10
- NumberField.mixedEmbedding.indexEquivstatement and proof · cited by 6
- NumberField.mixedEmbedding.volume_fundamentalDomain_latticeBasisproof · cited by 4
- NumberField.mixedEmbedding.matrixToStdBasisstatement · cited by 3
- NumberField.mixedEmbedding.volume_fundamentalDomain_stdBasisstatement · cited by 2
- NumberField.mixedEmbedding.euclidean.volumePreserving_toMixedproof · cited by 2
- NumberField.mixedEmbedding.euclidean.stdOrthonormalBasisstatement · cited by 2
- NumberField.mixedEmbedding.det_matrixToStdBasisstatement and proof · cited by 1
- NumberField.mixedEmbedding.fundamentalDomain_stdBasisstatement and proof · cited by 1
- NumberField.mixedEmbedding.euclidean.stdOrthonormalBasis_map_eqstatement and proof · cited by 1
- NumberField.mixedEmbedding.stdBasis_repr_eq_matrixToStdBasis_mulstatement and proof · cited by 1
- NumberField.mixedEmbedding.indexEquiv.congr_simpstatement · cited by 0