instHasPropTotallyDisconnectedSpaceCarrier

English

For any X with a topology that is totally disconnected, the family Y ↦ TotallyDisconnectedSpace Y has HasProp with respect to X.

Русский

Для любого X с топологией, которая totalmente-разделима, семейство Y ↦ TotallyDisconnectedSpace Y имеет свойство HasProp по отношению к X.

LaTeX

$$$\operatorname{HasProp}\bigl(\lambda Y.\text{TotallyDisconnectedSpace } Y\bigr)\,X$$$

Lean4

instance (X : Type*) [TopologicalSpace X] [TotallyDisconnectedSpace X] :
    HasProp (fun Y ↦ TotallyDisconnectedSpace Y) X :=
  ⟨(inferInstance : TotallyDisconnectedSpace X)⟩

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