  In a track nuclear photoemulsion exposed to a beamof $^7$Li nuclei
accelerated to a momentum of 3 GeV/$c$ per nucleon at the synchrophasotron of
the Joint Institute for Nuclear Research (JINR, Dubna), 13 events in which
$^7$Li nuclei interacting with protons break up into $^3$H and $^4$He fragments
were detected among 3730 inelastic-interaction events. For this fragmentation
channel, the cross section was found to be $8\pm2$ mb. The average value of the
fragment total transverse momentum was $214\pm5$ MeV/$c$. This value
exceedsmarkedly the average value of the transverse-momentumtransfer in the
coherent dissociation of $^7$Li nuclei on track-emulsion nuclei ($166\pm5$
MeV/$c$). The recoil-proton transverse momentum was on average 98% of the total
proton momentum. The longitudinal-momentum distribution of protons was
characterized by a variance of 16 MeV/$c$ and a mean value of $37\pm2$ MeV/$c$.
