MTG, what happends if i play ROE's carver demon?

Hellcarver Demon's text reads "Whenever Hellcarver Demon deals combat damage to a player, sacrifice all other permanents you control and discard your hand. Exile the top six cards of your library. You may cast any number of nonland cards exiled this way without paying their mana costs."

If you do attack your opponent and deal combat damage, you would discard all the cards in your hand, and the top six cards of your library are exiled. If, among those six cards were summoning trap, or fetch land or another hellcarver demon, then you COULD, but don't have to, play them without paying their mana cost.

NOTE: When you exile cards from your library, they are removed from your library. they are not drawn, nor are they still part of your library.

NOTE: if you play a card that causes you to draw a card, you take a card from the top of your library and place it in to your hand, not exiling it.

Mtg Demon