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Memory Alpha

Temporal integration is the process of taking versions of a person from different time periods and integrating them into a single person.

Captain Braxton's first officer, Ducane, stated that the self which Braxton was before succumbing to temporal psychosis would be temporally integrated with two other versions of him, both of which were from a point in the future after which Braxton had succumbed to temporal psychosis, so that Braxton could stand trial. (VOY: "Relativity")

Presumably, the goal of the process in this case was to produce a version of Captain Braxton who both knew of the crimes he had attempted to commit and who also had not succumbed to temporal psychosis and was therefore fit to stand trial.
By this form of temporal mechanics, it is unclear how extracting an individual from one point in time would affect the future existence of that individual in the same timeline.
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