let N be non empty with_non-empty_elements set ; :: thesis: for S being standard-ins non empty IC-Ins-separated halting with_explicit_jumps AMI-Struct of N
for I being Instruction of S st I is ins-loc-free holds
JUMP I is empty

let S be standard-ins non empty IC-Ins-separated halting with_explicit_jumps AMI-Struct of N; :: thesis: for I being Instruction of S st I is ins-loc-free holds
JUMP I is empty

let I be Instruction of S; :: thesis: ( I is ins-loc-free implies JUMP I is empty )
assume A1: JumpPart I is empty ; :: according to COMPOS_1:def 16 :: thesis: JUMP I is empty
A2: rng (JumpPart I) = {} by A1;
JUMP I c= rng (JumpPart I) by Def6;
hence JUMP I is empty by A2, XBOOLE_1:3; :: thesis: verum