Theorems · Theorem · number theory

NumberField.mixedEmbedding.fundamentalCone.expMapBasis_closure_subset_compactSet

∀ (K : Type u_1) [inst : Field K] [inst_1 : NumberField K],
  ↑NumberField.mixedEmbedding.fundamentalCone.expMapBasis ''
      closure (NumberField.mixedEmbedding.fundamentalCone.paramSet K) ⊆
    NumberField.mixedEmbedding.fundamentalCone.compactSet K

Defined in: Mathlib.NumberTheory.NumberField.CanonicalEmbedding.NormLeOne
Cited by: 2 results in Mathlib
Foundations: Depth 337 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field NumberField

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Cites14

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Setstatement and proof · cited by 53,352
Realstatement · cited by 25,697
Fieldstatement and proof · cited by 7,404
Set.imagestatement and proof · cited by 5,609
closurestatement and proof · cited by 1,254
OpenPartialHomeomorph.toFun'statement and proof · cited by 745
NumberFieldstatement and proof · cited by 653
NumberField.InfinitePlacestatement · cited by 604
Set.subset_union_leftproof · cited by 142
NumberField.mixedEmbedding.realSpacestatement and proof · cited by 87
NumberField.mixedEmbedding.fundamentalCone.expMapBasisstatement and proof · cited by 30
NumberField.mixedEmbedding.fundamentalCone.paramSetstatement and proof · cited by 18

Cited by2

Results whose statement or proof uses this declaration.

NumberField.mixedEmbedding.fundamentalCone.isBounded_normLeOneproof · cited by 1
NumberField.mixedEmbedding.fundamentalCone.closure_normLeOne_subsetproof · cited by 1