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The aim of this paper is to prove the statement in the title. As aby-product, we obtain new globalization results in cases never consideredbefore, such as partial corepresentations of Hopf algebras. Moreover, we showthat for partial representations of groups and Hopf algebras, our globalizationcoincides with those described earlier in literature. Finally, we introduceHopf partial comodules over a bialgebra as geometric partial comodules in themonoidal category of (global) modules. By applying our globalization theorem weobtain an analogue of the fundamental theorem for Hopf modules in this partialsetting.

Geometric partial comodules over flat coalgebras in Abelian categories are globalizable