Rule 729.3 · Subgames

Because each player draws seven cards when a game begins, any player with fewer than seven cards in their deck will lose the subgame when state-based actions are checked during the upkeep step of the first turn, regardless of any mulligans that player takes. (See rule 704, “State-Based Actions.”)

Other rules in this chapter

Ask the judge Pro

The life counter has an AI judge that answers your play citing the exact rules. It is part of Gatewatch Pro; the rules, Oracle text and rulings stay free.