toIsLocallyFiniteMeasure — Mathlib

English

If μ is locally finite and α has a topology, then c • μ is locally finite for any NNReal c.

Русский

Если μ локально конечна и есть топология, то c • μ локально конечна для любого NNReal c.

LaTeX

$$IsLocallyFiniteMeasure (c • μ)$$

Lean4

instance (priority := 100) toIsLocallyFiniteMeasure [TopologicalSpace α] (μ : Measure α) [IsFiniteMeasure μ] :
    IsLocallyFiniteMeasure μ :=
  ⟨fun _ => finiteAtFilter_of_finite _ _⟩

Похожие утверждения