thus not SCM is empty by STRUCT_0:def 1; :: thesis: SCM is standard-ins
consider X being non empty set such that
A1: proj2 SCM-Instr c= X * by FINSEQ_1:85;
take X ; :: according to COMPOS_1:def 4 :: thesis: the Instructions of SCM c= [:NAT,(NAT *),(X *):]
A2: SCM-Instr c= [:NAT,(NAT *),(proj2 SCM-Instr):] by AMI_2:25;
[:NAT,(NAT *),(proj2 SCM-Instr):] c= [:NAT,(NAT *),(X *):] by A1, MCART_1:73;
then SCM-Instr c= [:NAT,(NAT *),(X *):] by A2, XBOOLE_1:1;
hence the Instructions of SCM c= [:NAT,(NAT *),(X *):] ; :: thesis: verum