  The lithium abundance, A(Li), in stellar atmospheres suffers from various
enhancement and depletion processes during the star's lifetime. While several
studies have demonstrated that these processes are linked to the physics of
stellar formation and evolution, the role that Galactic-scale events play in
the galactic A(Li) evolution is not yet well understood. We aim to demonstrate
that the observed A(Li) bi-modal distribution, in particular in the FGK-dwarf
population, is not a statistical artefact and that the two populations connect
through a region with a low number of stars. We also want to investigate the
role that Galactic-scale events play in shaping the A(Li) distribution of stars
in the thin disk. We use statistical techniques along with a Galactic chemical
evolution model for A(Li) that includes most of the well-known $^7$Li
production and depletion channels. We confirm that the FGK main-sequence stars
belonging to the Milky Way's thin disk present a bi-modal A(Li) distribution.
We demonstrate that this bi-modality can be generated by a particular Milky Way
star formation history profile combined with the stellar evolution's $^7$Li
depletion mechanisms. We show that A(Li) evolution can be used as an additional
proxy for the star formation history of our Galaxy.
