Rule 704.7

If multiple state-based actions would have the same result at the same time, a single replacement effect will replace all of them. Example: You control Lich’s Mirror, which says “If you would lose the game, instead shuffle your hand, your graveyard, and all permanents you own into your library, then draw seven cards and your life total becomes 20.” There’s one card in your library and your life total is 1. A spell causes you to draw two cards and lose 2 life. The next time state-based actions are checked, you’d lose the game due to rule 704.5a and rule 704.5b. Instead, Lich’s Mirror replaces that game loss and you keep playing.