1. A computer program product for snapshot management in a storage infrastructure, the computer program product comprising: one or more computer readable storage media and program instructions stored on the one or more computer readable storage media, the program instructions comprising: program instructions to access a first snapshot captured in a first layer of the storage infrastructure; program instructions to access a second snapshot captured in a second layer of the storage infrastructure; program instructions to produce a determination that the first snapshot in the first layer of the storage infrastructure is one or more of: inconsistent with the second snapshot in the second layer of the storage infrastructure and a duplicate of the second snapshot in the second layer of the storage infrastructure; and program instructions to remove the first snapshot in the first layer of storage infrastructure responsive to the determination.