Theorems · Definition · number theory
NumberField.mixedEmbedding.fundamentalCone.compactSet
(K : Type u_1) → [inst : Field K] → [NumberField K] → Set (NumberField.mixedEmbedding.realSpace K)
A compact set that contains expMapBasis '' closure (paramSet K) and furthermore is almost
equal to it, see compactSet_ae.
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 331 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.
Cites12
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.imageproof · cited by 5,609
- Set.univproof · cited by 3,945
- Set.Iccproof · cited by 1,702
- OpenPartialHomeomorph.toFun'proof · cited by 745
- 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
- NumberField.mixedEmbedding.fundamentalCone.expMapBasisproof · cited by 30
Cited by11
Results whose statement or proof uses this declaration.
- NumberField.mixedEmbedding.fundamentalCone.isCompact_compactSetstatement · cited by 3
- NumberField.mixedEmbedding.fundamentalCone.expMapBasis_closure_subset_compactSetstatement · cited by 2
- NumberField.mixedEmbedding.fundamentalCone.compactSet_eq_unionstatement and proof · cited by 2
- NumberField.mixedEmbedding.fundamentalCone.nonneg_of_mem_compactSetstatement and proof · cited by 1
- NumberField.mixedEmbedding.fundamentalCone.closure_normLeOne_subsetstatement and proof · cited by 1
- NumberField.mixedEmbedding.fundamentalCone.zero_mem_compactSetstatement · cited by 1
- NumberField.mixedEmbedding.fundamentalCone.compactSet_aestatement · cited by 1
- NumberField.mixedEmbedding.fundamentalCone.compactSet_eq_union_aux₁statement and proof · cited by 1
- NumberField.mixedEmbedding.fundamentalCone.compactSet_eq_union_aux₂statement · cited by 1
- NumberField.mixedEmbedding.fundamentalCone.compactSet.congr_simpstatement and proof · cited by 0