Theorems · Theorem · complex analysis

locallyFinsuppWithin.logCounting_divisor

∀ {f : ℂ → ℂ},
  Function.locallyFinsuppWithin.logCounting (MeromorphicOn.divisor f Set.univ) =
    ValueDistribution.logCounting f 0 - ValueDistribution.logCounting f ⊤

Relation between ValueDistribution.logCounting and locallyFinsuppWithin.logCounting.

Defined in: Mathlib.Analysis.Complex.ValueDistribution.LogCounting.Basic
Cited by: 1 results in Mathlib
Foundations: Depth 208 from the axioms · uses propext, Classical.choice, Quot.sound

Mathlib docs Source Loogle LeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites19

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

DFunLike.coestatement and proof · cited by 62,936
Realstatement · cited by 25,697
NormedAddCommGroupproof · cited by 15,752
Top.topstatement and proof · cited by 9,680
Complexstatement and proof · cited by 5,565
Set.univstatement and proof · cited by 3,945
WithTopstatement · cited by 3,754
AddMonoidHomstatement · cited by 3,230
sub_zeroproof · cited by 938
ProperSpaceproof · cited by 190
PosPart.posPartproof · cited by 113
NegPart.negPartproof · cited by 107

Cited by1

Results whose statement or proof uses this declaration.

ValueDistribution.logCounting_zero_sub_logCounting_top_eq_circleAverage_sub_constproof · cited by 0