  For an arbitrary forcing class $\Gamma$, the $\Gamma$-fragment of
Todorcevic's strong reflection principle SRP is isolated in such a way that (1)
the forcing axiom for $\Gamma$ implies the $\Gamma$-fragment of SRP, (2) the
stationary set preserving fragment of SRP is the full principle SRP, and (3)
the subcomplete fragment of SRP implies the major consequences of the
subcomplete forcing axiom. Along the way, some hitherto unknown effects of (the
subcomplete fragment of) SRP on mutual stationarity are explored, and some
limitations to the extent to which fragments of SRP may capture the effects of
their corresponding forcing axioms are established.
