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Rester vs. demeurer vs. subsister

The French verbs rester, demeurer, and subsister all translate to to remain or to be left in English, but they belong to different levels of formality and carry distinct nuances. While rester is the most common and versatile word for everyday situations, demeurer leans towards formal or literary contexts, often dealing with abstract ideas. Meanwhile, subsister emphasizes endurance, surviving through time, or lingering after most of something has vanished.

Rester

The verb rester is the standard, everyday word used to say that something is left or still available. It is highly versatile and applies to concrete objects, time, money, quantities, and people in both spoken and written French.
Il reste deux parts de gâteau dans le frigo.
(There are two slices of cake left in the fridge.)
Combien de temps reste-t-il avant le départ du train ?
(How much time is left before the train leaves?)
Je n'ai plus d'argent, il ne me reste que quelques pièces.
(I have no money left, I only have a few coins remaining.)
Malgré la tempête, les murs de la maison sont restés debout.
(Despite the storm, the walls of the house remained standing.)
Il reste encore beaucoup de travail à faire.
(There is still a lot of work left to do.)

Demeurer

The verb demeurer is a formal alternative to rester and is mostly used in written French, literature, or formal speeches. When meaning to be left or to still exist, it is frequently associated with abstract concepts, unanswered questions, mysteries, or states of being.
La cause exacte de cet incident demeure inconnue.
(The exact cause of this incident remains unknown.)
Quelques doutes demeurent quant à la réussite de ce projet.
(A few doubts remain regarding the success of this project.)
Le problème majeur demeure le manque de financement.
(The major problem remains the lack of funding.)
Son influence sur la musique moderne demeure indéniable.
(His influence on modern music remains undeniable.)
Il demeure une chance infime de gagner ce match.
(There remains a tiny chance of winning this match.)

Subsister

The verb subsister is a formal term that implies survival, endurance, or lingering traces of something that has largely disappeared. It is used when something continues to exist despite the passage of time, destruction, or adverse conditions.
De ce grand château, il ne subsiste que quelques ruines.
(From this great castle, only a few ruins remain.)
Certaines traditions anciennes subsistent encore dans ces villages de montagne.
(Certain ancient traditions still endure in these mountain villages.)
Une légère odeur de fumée subsistait dans la pièce.
(A faint smell of smoke lingered in the room.)
Si le problème subsiste, veuillez contacter notre service client.
(If the problem persists, please contact our customer service.)
Malgré les siècles, les peintures de cette grotte ont réussi à subsister.
(Despite the centuries, the paintings in this cave have managed to survive.)

Summary

In short, choose rester for everyday conversations about what is left or available. Opt for demeurer in formal or written contexts, especially when dealing with abstract concepts or facts that remain unchanged. Finally, use subsister to describe traces, remnants, or things that manage to endure and survive against time, fading, or destruction.