Question:
The island's capital is Mytilini (and you may sometimes hear Greeks call the island Mytilini, rather than Lesvos).

Does it follow that "The island has no capital city."?
Answer:
no

Question:
Travelers on their way to or from Rome will be especially interested in Raphael's cartoons (preparatory drawings) for his School of Athens fresco in the Vatican.

Does it follow that "Raphael was never in the Vatican."?
Answer:
no

Question:
A case that is eligible to be counted as such must include some actual counsel and advice or other legal assistance provided to the client.

Does it follow that "To have an eligible case, you need to have provided counsel and advice. "?
Answer:
yes

Question:
We had a pleasant luncheon, and as we drove away Lawrence suggested that we should return by Tadminster, which was barely a mile out of our way, and pay a visit to Cynthia in her dispensary.

Does it follow that "We had fun at lunch with Lawrence, but Cynthia wasn't there."?
Answer:
yes