  We report on spin Hall magnetoresistance (SMR) and spin Seebeck effect (SSE)
in single crystal of the rare-earth antiferromagnet DyFeO$_{3}$ with a thin Pt
film contact. The angular shape and symmetry of the SMR at elevated
temperatures reflect the antiferromagnetic order of the Fe$^{3+}$ moments as
governed by the Zeeman energy, the magnetocrystalline anisotropy and the
Dzyaloshinskii-Moriya interaction. We interpret the observed linear dependence
of the signal on the magnetic field strength as evidence for field-induced
order of the Dy$^{3+}$ moments up to room temperature. At and below the Morin
temperature of 50$\,$K, the SMR monitors the spin-reorientation phase
transition of Fe$^{3+}$ spins. Below 23$\,$K, additional features emerge that
persist below 4$\,$K, the ordering temperature of the Dy$^{3+}$ magnetic
sublattice. We conclude that the combination of SMR and SSE is a simple and
efficient tool to study spin reorientation phase transitions and sublattice
magnetizations.
