An ascension brake (3) for two elevator bodies (1, 2), which move independently of one another, comprises a first locking mechanism (3.10), which is disposed between the two elevator bodies and is fastened on a first (1) of the two elevator bodies, and which has a brake body arrangement having at least one first brake body (3.11, 3.12), which is movably mounted in the first locking mechanism toward a guide structure (4). The first locking mechanism has a positive guide (3.13), which converts a relative movement of said brake body arrangement in an ascension direction by the second (2) of the two elevator bodies into a relative movement of the brake body arrangement on the guide structure.
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