Theorems · Theorem · number theory

NumberField.mixedEmbedding.fundamentalCone.interior_paramSet

∀ (K : Type u_1) [inst : Field K] [inst_1 : NumberField K],
  interior (NumberField.mixedEmbedding.fundamentalCone.paramSet K) =
    Set.univ.pi fun w => if w = NumberField.Units.dirichletUnitTheorem.w₀ then Set.Iio 0 else Set.Ioo 0 1

Defined in: Mathlib.NumberTheory.NumberField.CanonicalEmbedding.NormLeOne
Cited by: 1 results in Mathlib
Foundations: Depth 299 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field NumberField

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Cites21

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 and proof · cited by 25,697
TopologicalSpaceproof · cited by 24,529
Fieldstatement and proof · cited by 7,404
Set.univstatement and proof · cited by 3,945
Finiteproof · cited by 3,029
Set.Ioostatement and proof · cited by 1,214
Set.Iiostatement and proof · cited by 1,166
Set.Iicproof · cited by 1,111
Set.Icoproof · cited by 799
interiorstatement and proof · cited by 714
NumberFieldstatement and proof · cited by 653

Cited by1

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NumberField.mixedEmbedding.fundamentalCone.closure_paramSet_ae_interiorproof · cited by 1