Russian Prepositions в and на, из and c

Did you know that if a noun is used with the preposition в in the Accusative or Prepositions case, it will be used with the preposition из in the Genitive case? And if a noun is used with the preposition на in the Accusative or Prepositional case, it will be used with the preposition с in the Genitive case?

For example,

Я еду в Москву. Я в Москве. Я из Москвы. I am going to Moscow. I am in Moscow. I am from Moscow.

Мы идём на рынок. Мы на рынке. Мы идём с рынка. We are going to the market. We are on the market. We are coming from the market.