How does this work?

[acedabeast]

So lets say I have a lich's mirror on the battlefield and someone does demonic consultation and thoricle combo, what happens do they win the game or what? Do Me and the person stay in the game and the other two players lose the game? This is in commander
 

[Landale]

They'll win.
From rulings listed on Scryfall, since Gatherer seems to be blank for it now. "Lich’s Mirror has no effect if a spell or ability (such as the one from Helix Pinnacle) states that a player “wins the game.” If a player wins the game, the game ends immediately. "

[acedabeast]

Then shouldn't they change the wording of how the card works? because I would simply assume that I would still be in the game since it says that if I were to lose the game I start over basically

[Landale]

You didn't lose, they won and the game ended. The game can end without anyone actually losing, as well as without anyone actually winning for that matter.
All the mirror does is prevent you from suffering losing, and in some cases it can't even successfully do that for long. It does nothing about someone being declared the winner, which simply ends the game right there. If you want to shut down both failure and victory conditions you need Platinum Angel.

[acedabeast]

Ah okay that makes sense

[The Golgari Guy]

You could stop them with Platinum Angel though