Theorems · Definition · number theory
NumberField.mixedEmbedding.normAtPlace
{K : Type u_1} → [inst : Field K] → NumberField.InfinitePlace K → NumberField.mixedEmbedding.mixedSpace K →*₀ ℝThe norm at the infinite place w of an element of the mixed space
- Cited by
- 45 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.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Fieldstatement and proof · cited by 7,404
- Complexstatement · cited by 5,565
- Norm.normproof · cited by 5,413
- MonoidWithZeroHomstatement · cited by 704
- NumberField.InfinitePlacestatement and proof · cited by 604
- NumberField.InfinitePlace.IsRealstatement and proof · cited by 301
- NumberField.InfinitePlace.IsComplexstatement · cited by 272
- NumberField.mixedEmbedding.mixedSpacestatement and proof · cited by 239
Cited by50
Results whose statement or proof uses this declaration.
- NumberField.mixedEmbedding.normproof · cited by 46
- NumberField.mixedEmbedding.normAtAllPlacesproof · cited by 30
- NumberField.mixedEmbedding.logMapproof · cited by 21
- NumberField.mixedEmbedding.convexBodySumFunproof · cited by 14
- NumberField.mixedEmbedding.normAtPlace_nonnegstatement · cited by 11
- NumberField.mixedEmbedding.normAtPlace_apply_of_isComplexstatement · cited by 9
- NumberField.mixedEmbedding.normAtPlace_applystatement · cited by 8
- NumberField.mixedEmbedding.normAtPlace_apply_of_isRealstatement · cited by 8
- NumberField.mixedEmbedding.normAtComplexPlacesproof · cited by 8
- NumberField.mixedEmbedding.normAtPlace_mixedSpaceOfRealSpacestatement · cited by 6
- NumberField.mixedEmbedding.normAtPlace_smulstatement · cited by 5
- NumberField.mixedEmbedding.norm_smulproof · cited by 5