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It is well known that a simple, supercritical Bienaym\'e-Galton-Watsonprocess turns into a subcritical such process, if conditioned to die out. Weprove that the corresponding holds true for general, multi-type branching,where child-bearing may occur at different ages, life span may depend uponreproduction, and the whole course of events is thus affected by conditioningupon extinction.

Supercritical general branching processes conditioned on extinction are subcritical