Prune XML hierarchy branches that do not contain specific element

PruneXml.cs

// Given an XElement, remove all leaf nodes that do NOT contain a specific node.
// Also removes ancestor branches that do not result in the specific leaf node.
// Useful for pruning hierarchies, such as a disk directory structure that only shows
// directory paths that contain files

void Prune(XElement element)
{
	if (element.Elements().Any(e => e.Name.LocalName == "Page"))
	{
		return;
	}

	if (element.HasElements)
	{
		foreach (var item in element.Elements().ToList())
		{
			Prune(item);
		}
		
		if (!element.HasElements)
			element.Remove();
	}
	else
	{
		element.Remove();
	}
}