let N be non empty with_non-empty_elements set ; :: thesis: for S being non empty stored-program IC-Ins-separated definite AMI-Struct of N
for i being Instruction of S
for l being Element of NAT holds JUMP i c= NIC i,l
let S be non empty stored-program IC-Ins-separated definite AMI-Struct of N; :: thesis: for i being Instruction of S
for l being Element of NAT holds JUMP i c= NIC i,l
let i be Instruction of S; :: thesis: for l being Element of NAT holds JUMP i c= NIC i,l
let l be Element of NAT ; :: thesis: JUMP i c= NIC i,l
set X = { (NIC i,k) where k is Element of NAT : verum } ;
let x be set ; :: according to TARSKI:def 3 :: thesis: ( not x in JUMP i or x in NIC i,l )
A1: NIC i,l in { (NIC i,k) where k is Element of NAT : verum } ;
assume x in JUMP i ; :: thesis: x in NIC i,l
hence x in NIC i,l by A1, SETFAM_1:def 1; :: thesis: verum