thus
( not SCM is empty & SCM is stored-program )
by COMPOS_1:def 2, STRUCT_0:def 1; SCM is standard-ins
consider X being non empty set such that
WW:
proj2 SCM-Instr c= X *
by FINSEQ_1:106;
take
X
; COMPOS_1:def 17 the Instructions of SCM c= [:K97(),(K97() *),(X *):]
S:
SCM-Instr c= [:NAT,(NAT *),(proj2 SCM-Instr):]
by AMI_2:34;
[:NAT,(NAT *),(proj2 SCM-Instr):] c= [:NAT,(NAT *),(X *):]
by WW, MCART_1:77;
then
SCM-Instr c= [:NAT,(NAT *),(X *):]
by S, XBOOLE_1:1;
hence
the Instructions of SCM c= [:NAT,(NAT *),(X *):]
; verum