Theorems · Definition · number theory
NumberField.mixedEmbedding.fundamentalCone.paramSet
(K : Type u_1) → [inst : Field K] → [NumberField K] → Set (NumberField.mixedEmbedding.realSpace K)
The set that parametrizes normAtAllPlaces '' (normLeOne K), see
normAtAllPlaces_normLeOne_eq_image.
- Cited by
- 18 results in Mathlib
- Foundations
- Depth 298 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldNumberField
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Fieldstatement and proof · cited by 7,404
- Set.univproof · cited by 3,945
- Set.Iicproof · cited by 1,111
- Set.Icoproof · cited by 799
- NumberFieldstatement and proof · cited by 653
- NumberField.InfinitePlaceproof · cited by 604
- Set.piproof · cited by 405
- NumberField.mixedEmbedding.realSpacestatement · cited by 87
- NumberField.Units.dirichletUnitTheorem.w₀proof · cited by 72
Cited by18
Results whose statement or proof uses this declaration.
- NumberField.mixedEmbedding.fundamentalCone.normLeOne_eq_preimagestatement and proof · cited by 4
- NumberField.mixedEmbedding.fundamentalCone.closure_paramSetstatement · cited by 3
- NumberField.mixedEmbedding.fundamentalCone.compactSet_eq_unionstatement and proof · cited by 2
- NumberField.mixedEmbedding.fundamentalCone.volume_normLeOneproof · cited by 2
- NumberField.mixedEmbedding.fundamentalCone.expMapBasis_closure_subset_compactSetstatement and proof · cited by 2
- NumberField.mixedEmbedding.fundamentalCone.setLIntegral_paramSet_expstatement and proof · cited by 1
- NumberField.mixedEmbedding.fundamentalCone.subset_interior_normLeOnestatement and proof · cited by 1
- NumberField.mixedEmbedding.fundamentalCone.closure_normLeOne_subsetproof · cited by 1
- NumberField.mixedEmbedding.fundamentalCone.closure_paramSet_ae_interiorstatement and proof · cited by 1
- NumberField.mixedEmbedding.fundamentalCone.compactSet_aestatement and proof · cited by 1
- NumberField.mixedEmbedding.fundamentalCone.compactSet_eq_union_aux₁statement · cited by 1