  Boudou and the authors have recently introduced the intuitionistic temporal
logic $\sf ITL^e$ and shown it to be decidable. In this article we show that
the `henceforth'-free fragment of this logic is complete for the class of
non-deterministic quasimodels introduced by Fern\'andez-Duque. From this and
results of Boudou, Romero and the authors, we conclude that this fragment is
also complete for the standard semantics of $\sf ITL^e$ over the class of
expanding posets.
