thus SCM+FSA-Instr is standard-ins :: thesis: not SCM+FSA-Instr is empty

proof

consider X being non empty set such that
A1: proj2 SCM+FSA-Instr c= X * by FINSEQ_1:85;
take X ; :: according to COMPOS_0:def 1 :: thesis: SCM+FSA-Instr c= [:NAT,(NAT *),(X *):]
[:NAT,(NAT *),(proj2 SCM+FSA-Instr):] c= [:NAT,(NAT *),(X *):] by A1, MCART_1:73;
hence SCM+FSA-Instr c= [:NAT,(NAT *),(X *):] by Lm1; :: thesis: verum

end;

thus not SCM+FSA-Instr is empty ; :: thesis: verum