let T be InsType of the InstructionsF of SCM; :: thesis: ( T = 1 implies JumpParts T = {{}} )
assume A1: T = 1 ; :: thesis: JumpParts T = {{}}

hereby :: according to TARSKI:def 3,XBOOLE_0:def 10 :: thesis: {{}} c= JumpParts T

let x be object ; :: thesis: ( x in JumpParts T implies x in {{}} )
assume x in JumpParts T ; :: thesis: x in {{}}
then consider I being Instruction of SCM such that
A2: x = JumpPart I and
A3: InsCode I = T ;
consider a, b being Data-Location such that
A4: I = a := b by A1, A3, AMI_5:8;
x = {} by A2, A4;
hence x in {{}} by TARSKI:def 1; :: thesis: verum

end;

set a = the Data-Location;
let x be object ; :: according to TARSKI:def 3 :: thesis: ( not x in {{}} or x in JumpParts T )
assume x in {{}} ; :: thesis: x in JumpParts T
then x = {} by TARSKI:def 1;
then A5: x = JumpPart ( the Data-Location := the Data-Location) ;
InsCode ( the Data-Location := the Data-Location) = 1 ;
hence x in JumpParts T by A5, A1; :: thesis: verum