Theorems · Definition · number theory
NumberField.mixedEmbedding.mixedSpace
(K : Type u_1) → [Field K] → Type u_1
The mixed space ℝ^r₁ × ℂ^r₂ with (r₁, r₂) the signature of K.
- Cited by
- 239 results in Mathlib
- Foundations
- Depth 140 from the axioms, rests on 3,713 definitions · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realproof · cited by 25,697
- Fieldstatement and proof · cited by 7,404
- Complexproof · cited by 5,565
- NumberField.InfinitePlaceproof · cited by 604
- NumberField.InfinitePlace.IsRealproof · cited by 301
- NumberField.InfinitePlace.IsComplexproof · cited by 272
Cited by279
Results whose statement or proof uses this declaration.
- NumberField.mixedEmbeddingstatement · cited by 52
- NumberField.mixedEmbedding.normstatement and proof · cited by 46
- NumberField.mixedEmbedding.normAtPlacestatement and proof · cited by 45
- NumberField.mixedEmbedding.normAtAllPlacesstatement and proof · cited by 30
- NumberField.mixedEmbedding.fundamentalCone.integerSetstatement · cited by 22
- NumberField.mixedEmbedding.fundamentalConestatement and proof · cited by 22
- NumberField.mixedEmbedding.logMapstatement and proof · cited by 21
- NumberField.mixedEmbedding.minkowskiBoundproof · cited by 21
- NumberField.mixedEmbedding.mixedSpaceOfRealSpacestatement · cited by 20
- NumberField.mixedEmbedding.negAtstatement · cited by 20
- NumberField.mixedEmbedding.polarCoordstatement · cited by 15
- NumberField.mixedEmbedding.fundamentalCone.normLeOnestatement and proof · cited by 14
Showing the 200 most cited of 279.