Theorems · Theorem · number theory
NumberField.Set.hasDirichletDensity_empty
∀ {K : Type u_1} [inst : Field K] [inst_1 : NumberField K], NumberField.Set.HasDirichletDensity ∅ 0The empty set has Dirichlet density 0.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 195 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.
Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- Fieldstatement and proof · cited by 7,404
- Set.Elemproof · cited by 7,166
- nhdsproof · cited by 5,554
- Set.univproof · cited by 3,945
- Filter.Tendstoproof · cited by 3,814
- SummationFilter.unconditionalproof · cited by 2,068
- nhdsWithinproof · cited by 1,912
- Set.Ioiproof · cited by 1,463
- tsumproof · cited by 1,148
Cited by1
Results whose statement or proof uses this declaration.
- NumberField.Set.dirichletDensity_emptyproof · cited by 0