take
TotalTRS (NAT,(In (0,NAT)))
; ( TotalTRS (NAT,(In (0,NAT))) is strict & TotalTRS (NAT,(In (0,NAT))) is quasi_total & TotalTRS (NAT,(In (0,NAT))) is partial & TotalTRS (NAT,(In (0,NAT))) is Group-like & TotalTRS (NAT,(In (0,NAT))) is invariant )
thus
( TotalTRS (NAT,(In (0,NAT))) is strict & TotalTRS (NAT,(In (0,NAT))) is quasi_total & TotalTRS (NAT,(In (0,NAT))) is partial & TotalTRS (NAT,(In (0,NAT))) is Group-like & TotalTRS (NAT,(In (0,NAT))) is invariant )
; verum