Container for a cosmetic product and refill for such a container

A container for a cosmetic product stick, comprising:

• a refill comprising a cosmetic product stick and a sleeve inside which said stick is movably mounted, wherein said sleeve is closed by at least one lid, the refill further comprises an actuation unit making it possible for retraction and/or extension of the cosmetic product stick, the sleeve extending along the actuation unit so as to prevent its actuation;
• and
• an actuation base making it possible for retraction and/or extension of the cosmetic product stick, said refill being configured to be removably mounted on the actuation base.

A refill intended to be removably mounted on an actuation base, said refill comprising:

• a cosmetic product stick and a sleeve inside which said stick is movably mounted,
• wherein the refill further comprises an actuation unit making it possible for retraction and/or extension of the cosmetic product stick, the sleeve extending along the actuation unit so as to prevent its actuation.